Mathematics College

Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:

Answers

Answer 1

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)

Related Questions

What is the length of a rectangle that has an area of 12½ square feet and a width of 2½ feet?

Answers

Answer:

Step-by-step explanation:

l = length

w = width = 2.5

a = area = 12.5

l = a/w = 12.5/2.5 = 5

so the answer is l = 5

ASAP NEDDDD HELPPPPPP

Answers

By translation, the image of the triangle X is equivalent to the triangle E.

How to determine the image of a figure by rigid transformations

Herein we find the representation of a triangle, whose vertices are described below:

A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)

Whose image must be determined by a rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.

Now we proceed to determine the images of the vertices of the triangle:

A'(x, y) = (5, 5) + (4, - 3)

A'(x, y) = (9, 2)

B'(x, y) = (5, 6) + (4, - 3)

B'(x, y) = (9, 3)

C'(x, y) = (7, 5) + (4, - 3)

C'(x, y) = (11, 2)

Therefore, the triangle E is the image of the triangle X.

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pls help!
If a and b are real numbers, then (a + b)^2 = a^2 + b^2
Provide a counterexample for the statement.
A)
a = 0 and b = 1
B)
a = 1 and b=0
C)
a = 1 and b = 2
D)
a = 0 and b = 0

Answers

Answer:

C ) a= 1 and b = 2

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

It equals to

(a + b)² = a² + b²

when ab = 0, in other words one of a or b or both should be zero

Looking through the answer options, only one of them:

C ) a= 1 and b = 2

is the counterexample of the given statement, since none of a or be equals zero.

This graph shows how fast the International Space Station travels in orbit
around Earth.
What is the meaning of the point with an x-coordinate of 3?
Speed of Space Station
16
14
12
10
Distance (miles)
6
2 4 6 8 10 12 14 16
Time (seconds)
O A. It takes the space station 3 seconds to go 5 miles.
O B. In 3 seconds, the space station travels 15 miles.
O C. In 1 second, the space station travels 3 miles.
D. The space station travels 3 miles in 15 seconds

Answers

9514 1404 393

Answer:

B. In 3 seconds, the space station travels 15 miles

Step-by-step explanation:

The x-axis is labeled "Time (seconds)", so an x-coordinate of 3 will correspond to a time of 3 seconds.

At that x-coordinate, the graph has a y-value of 15 (miles). This tells you ...

In 3 seconds, the space station travels 15 miles

_____

Additional comment

The graph is not a graph of speed, as the title suggests. Rather, it is a graph of position versus time. The slope of the graph is speed.

please help me so love this problem?

Answers

Answer:

12.7 ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 = ==> subtracting a negative number is equivalent to adding a

positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7 ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

Seth invested a certain amount of money and got back an amount of $ 8400. If
the bank paid an interest of $ 700, find the amount Sam invested. *

Answers

Answer:

$7700

Step-by-step explanation:

amount invested + interest = total

amount invested + 700 = 8400

Subtract 700 from both sides.

amount invested = 7700

Answer: $7700

WILL GIVE BRAINLIEST
Which linear graph represents a proportional relationship?

a graph of a line that passes through the points 0 comma negative 0.5 and 2 comma negative 1
a graph of a line that passes through the points 0 comma negative 4 and 1 comma negative 4
a graph of a line that passes through the points 0 comma 0 and 1 comma negative 4
a graph of a line that passes through the points 0 comma 2 and negative 1 comma negative 2

Answers

Answer:

Mark Brainliest

Step-by-step explanation:

a graph of a line that passes through the points 0 comma negative 4 and 1 comma negative 4

A graph of a line that passes through the points (0, -0.5) and (2, -1). Then the correct option is A.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, the x-intercept and y-intercept are -2 and -0.5, respectively. Then the equation of the line is given as,

x / (-2) + y / (-0.5) = 1

x + 4y = - 2

At x = 2, then the value of 'y' is given as,

2 + 4y = - 2

4y = -4

y = -1

A graph of a line that passes through the points (0, -0.5) and (2, -1). Then the correct option is A.

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WILL GIVE BRAINLIESTWhich linear graph represents a proportional relationship? a graph of a line that

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.
__ __

Answers

Answer:

$13 < \sqrt{181} < 14$.

Step-by-step explanation:

We have been given an inequality ___$< \sqrt{181} <$___. We are asked to fill in the blank with two consecutive integers to complete the given inequality.

We know that square root of 181 is not an integer. We can see that 181 is greater than square root 169 and and square root of 196.

$\sqrt{169} < \sqrt{181} < \sqrt{196}$

We know that $\sqrt{169}=13$ and $\sqrt{196}=14$.

Therefore, our required inequality would be $13 < \sqrt{181} < 14$

When you calculate In (10), you would be finding the value of which of the following expressions?
O log (10)
O log₁0(e)
O log(10)
O 10 In(e)

Answers

Answer: Given the log function ln(100), this can therefore be written as loge(100)

Step-by-step explanation: Logarithmic functions

Logarithmic functions are inverse of exponential functions. There are different ways to write log function;

Some are written as a exponent base

Some to the base of 10

Loga is also written as log10(a)

lna is written as loge(a)

Given the log function ln(100), this can therefore be written as loge(100)

Answer: C log(10).

Step-by-step explanation: When you calculate In (10), you would be finding the value of log(10).

In mathematics, the logarithm function is used to express the exponent to which a base must be raised in order to produce a given number. The base of the logarithm is usually denoted by "b" and the number whose logarithm is being taken is denoted by "x". The logarithm of x to base b is denoted as logb(x).

For example, the logarithm of 10 to base 10 is denoted as log10(10), which is equal to 1. The logarithm of 100 to base 10 is denoted as log10(100), which is equal to 2.

In general, the logarithm of x to base b can be calculated as follows:

logb(x) = y

This equation states that b raised to the power of y is equal to x.

The natural logarithm, denoted as In, is a special case of the logarithm function where the base is the mathematical constant e (approximately 2.718). The natural logarithm of x, denoted as In(x), is equal to the logarithm of x to base e.

Therefore, when you calculate In (10), you are finding the value of the natural logarithm of 10, which is the logarithm of 10 to base e.

Option A log (10) is incorrect because it is missing the base of the logarithm (e).

Option B log₁0(e) is incorrect because it is the logarithm of e to base 10, which is not the same as the natural logarithm of 10.

Option D 10 In(e) is incorrect because it is the value of 10 raised to the power of the natural logarithm of e, which is not the same as the natural logarithm of 10.

Option C log(10) is correct because it is the natural logarithm of 10, which is the value we are trying to find. Therefore, the correct answer is C log(10).

Caroline can ride her bike 5 miles in 25 minutes. At this rate, how long would it take her to bike 8 miles?

Answers

Answer:

40 min.

Step-by-step explanation:

5/25=1/5

1/5=0.2

8/0.2=40

Answer:

40 mins

Step-by-step explanation:

do 25 divided by 5 and you get 5, which means she can ride one mile in 5 mins, so then multiply 5 and 8 and you get the product of 40.

In frequency curve the points are joined by bits of a straight line. True/False

Answers

False. The frequency curve for a distribution can be obtained by drawing a smooth and free hand curve through the midpoints of the upper sides of the rectangles forming the histogram.

A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.

Answers

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation $\boxed{ax^2 + bx + c = 0}$ to have exactly one real root, the value of its discriminant, $\boxed{b^2 - 4ac}$, must be zero.

For the given equation:

$y = ax^2 - 6x + 10$,

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

$(-6)^2 - 4(a)(10) = 0$

⇒ $36 - 40a = 0$

⇒ $36 = 40a$

⇒ $a = \frac{36}{40}$

⇒ $a = \bf 0.9$

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Can someone answer theese 3 questions

Answers

Answer:

Which three questions?

Step-by-step explanation:

I've answered this first question, I guess I need two more...

There's no questions shown? Lol

LOOK AT THE IMAGE BLEOW TO SEE THE PROBLE:

Answers

π - This is an irrational number. 22/7 - The number is rational but not an integer. 3.3 - The number is an integer but not a whole number.

What is rational and irrational numbers?

The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it may be expressed as p/q.

Irrational numbers are those that are not logical in nature. Let's explain; irrational numbers may be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.

π - This is an irrational number.

22/7 - The number is rational but not an integer.

3.3 - The number is an integer but not a whole number.

The number is a whole number but not a natural number.

9 -This number can be written as a natural number.

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Determine which ordered pair(s) lies on the function
f(x) = -25^x+1

[] (1, 625)
[] (0, -25)
[] (-1, -1)

Answers

(0,-25) because i did it before

What is the first step in evaluating the expression shown below?

12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2

Answers

Answer:

Step-by-step explanation:

The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.

Step 1: Evaluate the expression inside the parentheses.

7.4 - 3.6 = 3.8

After evaluating the expression inside the parentheses, the expression becomes:

12 ÷ 3.8 + 8 - 2

Step 2: Perform the division.

12 ÷ 3.8 = 3.158

After performing the division, the expression becomes:

3.158 + 8 - 2

Step 3: Perform the addition and subtraction from left to right.

3.158 + 8 = 11.158

11.158 - 2 = 9.158

Therefore, the value of the given expression is approximately 9.158.

The first step is:

⇨ parentheses

Work/explanation:

The expression is:

12 ÷ (7.4 − 3.6) + 8 − 2

Let's recall the order of operations first:

order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtraction

So we evaluate

$\sf{12\div(7.4-3.6)+8-2}$

$\sf{12\div3.8+8-2}$

Next, division:

$\sf{3.158+8-2}$

Next, addition & subtraction:

$\sf{9.158}$

Hence, the first step is to evaluate the parentheses.

help me please i’ll give you brainliest

Answers

Answer:

He should have canceled x

The answer is the last one. He should have canceled x

z= 8 - 9iFind the angle (in radians) that makes in the complex plane.Round your answer, if necessary, to the nearest thousandth. Express 0 between -T and T.

Answers

To answer this question we will use the following formula for the angle corresponding to a complex number z:

$\theta=\arctan (\frac{\operatorname{Im}(z)}{\operatorname{Re}(z)})\text{.}$

In this case:

$\begin{gathered} \operatorname{Re}(z)=8, \\ \operatorname{Im}(z)=-9. \end{gathered}$

Therefore:

$\theta=\arctan (\frac{-9}{8})\approx-0.844.$

Answer:

$\theta=-0.844.$

Please help find the answer. Thank You!

Answers

Answer:

Step-by-step explanation:

208

Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8

Find the quotient of z by z2. Express your answer intrigonometricform. - 3 (0 (4) + (*))Z cos+/sinZ2

Answers

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}

Enter your answer as an ordered pair, like this: (42, 53)

If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)

If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."

Answers

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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BEST answer gets 69 points

Find the sum of (9.4 x 10^6) and (3.5 x 10^5). Write the final answer in scientific notation.

a. 1.29 x 10^10 b. 12.9 x 10^11 c. 9.75 x 10^5 d. 9.75 x 10^6

Answers

Answer:

D: 9.75 * 10^6

Step-by-step explanation:

You can make it easy for yourself if you write both answers in the same form:

(9.4 * 10^6) = (9.4 *10 * 10^5 = 94*10^5) and (3.5 * 10^5) stays the same.

We can now add those numbers up easier:

(94*10^5) + (3.5*10^5) = ( 94 + 3.5 ) * 10^5 = ( 97.5 * 10^5 )

but this answer is not in the option list. We have to perform the same trick as in the beginning, but than the other way around:

(97.5 * 10^5) = (9.75 * 10) * 10^5 = 9.75 * 10^6,

which is exactly option D

MATH

Systems of Linear Equations

1. Determine if each system of equations below is linear or nonlinear.

A. -9x+8y = 9x 7y+8=8x

Linear or nonlinear?

D. 6y+x=12 y-x=1-x

B.

2.3y+1.2x = 0

1.1x+0.1y 1.2

C.

2 7-3y=- 2x+9= 3y

Linear or nonlinear?

Linear or nonlinear?

E. 45x + y = 12 y+x² = 1-x²

Linear or nonlinear?

G

0.2x+9.1y9.1√x

7x+1=8√y

Linear or nonlinear?

F. x+8y = 81 x-7y = 32

Linear or nonlinear?

H.

98317y= 1010 + 2965x

-71389y=5692x - 1001

3 xx y-5= 1 zy+3x=-21

Linear or nonlinear?

Linear or nonlinear?

Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.

A.

B.

Solution:

Solution:

C.

D.

Solution:

Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.

A.

B.

Solution:

Solution:

C.

D.

Solution:

Solution:

Answers

The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

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cho hàm số f(x) liên tục trên đoạn [a;b] và có nguyên hàm F(x) thỏa F(a)=10;F(b)=2022 Khi đó \int _a^b\: f(x) dx bằng

Answers

The result follows from the fundamental theorem of calculus.

$\displaystyle \int_a^b f(x) \, dx = F(b) - F(a) = 2022 - 10 = \boxed{2012}$

62 is half of one lesss than the cube of a whole number. What is the number

Answers

Answer:

The answer is 5.

62 is half of 124

124 is one less than 125

The cube root of 125 is 5.

That is... 5 times 5 times 5 equals 125, since, 5 times 5 equals 25; and, 25 times 5 equals 125.

Hope this helps.

Step-by-step explanation:

Please help quickly! will mark brainliest!

Answers

Answer:

30 trees per day

Step-by-step explanation:

150 trees / 5 days = 30 trees per day

So the answer is 30.

Find the greatest common factor of 6 and 35

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the figure below to find angle C. Round to the nearest tenth

Answers

-13Answer:

Step-by-step explanation:

hopes this helps

Check all of the possible first steps in factoring a polynomial with four terms.factor out a GCFfactor the difference of cubesfactor a sum of cubesfactor a difference of squaresfactor a perfect-square trinomialfactor by grouping

Answers

Answer:4x as much as GCF

Step-by-step explanation:

u need to do 4x

Answer:

Step-by-step explanation:

Polynomials can be solved in several ways.

The possible first steps are: A. Factor out a GCF and F. Factor by grouping

A polynomial with 4 terms is represented as:

Because it has 4 terms, it cannot be solved by sum or difference of cubes or squares.

This mean that: options (b), (c), (d) and (e) are false.

However, the terms of the polynomial can be factored, if they have a common factor, and they can also be grouped.

Hence, the possible first steps are: A. Factor out a GCF and F. Factor by grouping

Answers

The sketch of the front elevation and the side elevation of the prism are added as an attachment

How to draw the front elevation and the side elevation of the prism

From the question, we have the following parameters that can be used in our computation:

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

Enter an equation in point-slope form for the line. Slope is 8 and (-7, -1) is on the line. The equation of the line in point slope form is:

Answers

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Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is: