A line passes through the point (4, -8) and has a slope of 5/2

Write an equation in slope-intercept form for this line.

help me pls this is due in 30 minutes

Answer:

52

Step-by-step explanation:

Answer:

b = 45 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 60² = 75²

b² + 3600 = 5625 ( subtract 3600 from both sides )

b² = 2025 ( take the square root of both sides )

b = \(\sqrt{2025}\) = 45

Step-by-step explanation:

Just use the Law of Indices.

Answer: 9/2500

Step-by-step explanation:

We start with turning it into a fraction:

0.36/100

Then, we turn every number into a whole number by multiplying by whatever the last decimal place is called (hundreth= x100)

36/10000

Lastly, we simplify as much as we can by finding the least common denominator. In this case, the smallest whole number both 36 and 10000 can be divided by is 4:

(36/4)/(10000/4)

= 9/25000

Answer:

a=69

Step-by-step explanation:

121-52 is equal to 69

Answer: b-11

Step-by-step explanation:

b= total number of milk

11= total number of chocolate milk

b - 11 = number of milks that aren't chocolate

Answer:

5: 44  6: 1.762 x 10^3

Step-by-step explanation:

5:

64 / (4x4) x (3x3) + (2x2x2)

64 / 16 x 9 + 8

4 x 9 + 8

36 + 8

44

Answer:

$3,745.93

Step-by-step explanation:

i got it right on edge

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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The equation of a line passing through a point A is given as

where

are the coordinates of the point A

In slope-intercept form, we have

Thus, when

Substitute the above values in equation 1

Hence, in slope-intercept form, the equation of the line with slope 1/2.and going through the point (-4.-5) is given as

This is in comparison with equation 2, which is the general equation of a line, in slope-intercept form.

Answer: i think it's 942,480

Step-by-step explanation:

i just multiplied all of the numbers but i'm probably wrong srry

Answer:

7986m^2

Step-by-step explanation:

140-102=38

area of triangle:

(38*66)/2=1254m^2

area of rectangle:

66*102=6732m^2

total area:

1254+6732=7986m^2

Answer:

\(\mathbf{3x^2y^3+2xy^4=C}\)

Step-by-step explanation:

From the differential equation given:

\(6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0\)

The equation above can be re-written as:

\(6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0\)

\((6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0\)

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

\(\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}\)

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

\(M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3\)

So;

\(\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3\)

       \(\dfrac{\partial N}{\partial y }\)

Let's Integrate \(\dfrac{\partial F}{\partial x}= M(x,y)\) with respect to x

Then;

\(F(x,y) = \int (6xy^3 +2y^4) \ dx\)

\(F(x,y) = 3x^2 y^3 +2xy^4 +g(y)\)

Now, we will have to differentiate the above equation with respect to y and set \(\dfrac{\partial F}{\partial x}= N(x,y)\); we have:

\(\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1\)

Hence, \(F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1\)

Finally; the general solution to the equation is:

\(\mathbf{3x^2y^3+2xy^4=C}\)

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Answer:

Step-by-step explanation:

median: 10.5

mean: 10

mode: n/a

In the first column you have the value of x, then to find the mistake you substitute in the equation the given value of x and evaluate to findthe corresponding value of y:

When x is 1:

When x is 2:

When x is 3:

When x is 4:

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

8 x 10 ^-8

Step-by-step explanation:

Answer:

8x10^-8

Step-by-step explanation:

Hello.

Let's find the multiplicative inverse of -100.

In order to do that, we need to write -100 as a fraction:

\(\bf{\displaystyle\frac{-100}{1}\)

Now, in order to find the multiplicative inverse of -100, we should flop the fraction over:

\(\bf{\displaystyle\frac{1}{-100}\)

I hope it helps.

Have an outstanding day. :)

\(\boxed{imperturbability}\)

Answer: No it is not

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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The sequence 5,12, 19, ... is an arithmetic sequence

The 48th term is 334

The sequence is given as:

5,12, 19, ...

The above sequence is an arithmetic sequence with the following parameters:

First term (a) = 5

Common difference (d) = 7

The nth term of an arithmetic sequence is:

Tn = a + (n - 1) * d

So, we have:

T48 = 5 + (48 - 1) * 7

Evaluate

T48 = 334

Hence, the 48th term is 334

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Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

\(2100\)

Step-by-step explanation:

Given the following question:

\(7956-5853\)

To estimate by the nearest hundred, we have to find the hundreds place value and then look at the number next to it, to find out if that number is greater than or equal to five.

\(7956-5853\)

\(7956\)

\(5=5\)

\(8000\)

\(5853\)

\(5=5\)

\(5900\)

\(8000-5900=2100\)

\(=2100\)

Hope this helps.

Answer:

4x³ - 13x² + 2x + 10 = 0

Step-by-step explanation:

(x - 5/4) [x - (1 + √3)] [x - (1 - √3)] = 0

4(x - 5/4) [x - (1 + √3)] [x - (1 - √3)] = 0

(4x - 5) [x - (1 + √3)] [x - (1 - √3)] = 0

(4x - 5) [x - 1 - √3] [x - 1 + √3] = 0

(4x - 5) [(x - 1) - √3] [(x - 1) + √3] = 0

(4x - 5) [(x - 1)² - 3] = 0

(4x - 5) (x² - 2x + 1 - 3) = 0

(4x - 5) (x² - 2x - 2) = 0

4x³ - 5x² - 8x² + 10x - 8x + 10 = 0

4x³ - 13x² + 2x + 10 = 0

Answer:

Yes

Step-by-step explanation:

The "x-interept" is the point where the graph crosses the x-axis.

From here, it looks like this graph crosses the x-axis where x=2 .

So the point is  (2, 0) .

That's choice-A .