I apologize, I am stumped... I thought you would find either the centroid, circumcenter, or incenter of the triangle created but it didn't work quite right for me.
Line p goes through points (-2,6) and (4, -3). What is the equation of line p?1. y = - 3/2x +32. y = -2/3x + 3 3. y = - 3/2x + 24. y= -2/3x + 2
The equation of the line p when line passes through the points (-2,6) and (4,-3) is y=(-3/2)x+3.
Given that,
Points (-2,6) and(4,-3) are on line p.
We must determine the line p's equation.
Using the equation of the line with formula
y=mx + b
Where,
The line's slope is m, and its y-intercept is b.
First, determine the slope.
Slope =\(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
= (6 - (-3))/(-2 -4)
= (6+3)/(-6)
= 9/-6
Slope = - (3/2)
To find the y-intercept, choose the point (4,-3) and enter it into the y-intercept equation above.
y = mx + b
-3 = (-3/2)(4) + b
-3 = -12/2 + b
-3 = -6 + b
6-3 = b
b = 3
The y-intercept is 3.
Now,
y = (-3/2)x + 3
Therefore, the equation of the line p when line passes through the points (-2,6) and (4,-3) is y=(-3/2)x+3.
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The fence around a circular pool is 75 ft long.
Radius=
Diameter=
Circumference=
Answer:
Step-by-step explanation:
circumference=75 ft.
2πr=75
r=75/2π=75/(2×3.14)≈11.937
radius=11.94 ft
Diameter=2r=2×11≈23.87 ft
Dudley Durite deposited $350 into a savings account that earns 6.5% interest compounded semi annually. What amount was in his account at the end of 1 year?
Answer:
$373.12
Step-by-step explanation:
You want to set this up with the equation for compound interest which is \(A=P(1+\frac{r}{n})}^{nt}\). A stands for amount, P stands for principle which in this case is 350, r is rate which for this one is .065, ad n is the amount of times compounded per year, and since it is compounded semi annually you do 2 for 2 times a year. Your equation based on this information should look like this:
\(A=350(1+\frac{.065}{2})}^{(2)(1)}\)
After working this out you get A = 373.12
$373.12
A trapezoid is 64 m2. The height is 12 cm and one base is 4 cm. What is the length of the missing base?
The length of the missing base is approximately 6.67 cm.
How to calculate the length of trapezoidBy applying the formula for the area of a trapezoid, we will be able to solve for the missing base.
Recall that the formula for the area of a trapezoid is:
A = \(\frac{1}{2} * h * (b_{1} + b_{2})\)
where
A = area
h = height
b₁ and b₂ are the lengths of the parallel bases.
From the question, we are given:
A = 64 m²
h = 12 cm
b₁ = 4 cm.
Plug these values into the formula above to solve the missing base
64 = \(\frac{1}{2} * 12 * (4+ b_{2})\)
Multiplying both sides by 2:
128 = 12(4 + b₂)
Simplifying:
128 = 48 + 12b₂
80 = 12b₂
b₂ = 80/12 = 20/3
b₂ = 6.67
Therefore, the length of the missing base is approximately 6.67 cm.
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Write a phrase that could be modeled by the expression n +2n.
Answer:
Let age of mine be n years.
Age of my father is twice of mine -2 n years.
Find the sum of age of me and my father.
= n+2n
Step-by-step explanation:
if it helped you please mark me a brainliest :))
The expression n + 2n is an example of multiplication, where 2n is two times n. Adding n and 2n together results in 3n, which is three times n.
the lengths of the rectangle have been measured to the nearest tenth of a metre work out the following, writing down all the figures on your calculator display: a) The upper bound for the perimeter of the rectangle. b)The lower bound for the area of the rectangle. rectangle lengths = 15.8m width = 5.2m
Answer: Perimeter = 42.2 m
Area = 81.1125 m²
Step-by-step explanation:
Lower Upper
Length is given as 15.8 --> 15.75 ≤ L < 15.85
width is given as 5.2 --> 5.15 ≤ w < 5.25
Perimeter = 2L + 2w (Upper bound)
= 2(15.85) + 2(5.25)
= 31.7 + 10.5
= 42.2
Area = Length x width (Lower bound)
= 15.75 x 5.15
= 81.1125
What’s this formula used to calculate?
Answer : definitely sampling error
2. Solve the below proportion. Please help me.
32 3t try add it all up maybe it work but that's the answer
Answer:
In direct proportion
2×t=16×3
2t=48
t=48/2
t=24.
Some one please help!!
Answer:
$542.50
Step-by-step explanation:
i will brainlest this don't answer if out the real answe thank you
You will repost if you take my point this is not free comment if you have a question
Answer:
1) Product of 2 x 3/5 is 6/5 or 1 and 1/5.
2) 20/9 or 2 and 2/9
3) 15/8 or 1 and 7/8
4) 15/6 or 2 and 3/6 or 2 and 1/2
5) 6/4 or 1 and 2/4 or 1 and 1/2
Step-by-step explanation:
You multiply the whole number by the numerator (top number) and then divide the result by the denominator(bottom number). Afterward, simplify the fraction if you can, for example, 6/9. Both the numerator and denominator can be divided by 3. Therefore, the answer to that example is 2/3.
Answer:
1) Product of 2 x 3/5 is 6/5 or 1 and 1/5.
2) 20/9 or 2 and 2/9
3) 15/8 or 1 and 7/8
4) 15/6 or 2 and 3/6 or 2 and 1/2
5) 6/4 or 1 and 2/4 or 1 and 1/2
Step-by-step explanation:
What is this called?
MATH
Answer and I will give you brainiliest
Answer:
injective function where range can't have many domain
Step-by-step explanation:
WILL MARK BRAINLIEST!!
Answer:
the answer to this is
(a.)(2,-1)
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Find the slope from the table.
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
ents
K-12
X Y
7 21
8 24
9 27
Function B
10
1
6
4
2
0
Function B
10
Which statement best compares the rate of change of the two functions? (1 point)
The rate of change of both functions is 2.
The rate of change of both functions is 3.
O The rate of change of function A is greater than the rate of change of function B.
O The rate of change of function B is greater than the rate of change of function A
Answer:
C
Step-by-step explanation:
FUNCTION A
21 : 7 = 3
FUNCTION B
8: 4 = 2
3 is greater than 2
Differentiate the function with respect to x. Shot steps
Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given,
\(y=log_{2}x^{3}.(5x^{4}+2)\)
We have to differentiate with respect to x.
y'=xy'+yx'
\(x=log_{2}x^{3}\)
\(y=5x^{4}+2\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
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The histogram below shows the estimated monthly salaries of company employees with different years of experience.
Answer: The scale on the y-axis overemphasizes the difference in salaries between different experience levels.
Step-by-step explanation:
Triangles DEF and D'E'F' are shown on the coordinate plane below: H F D D' 2 -8-7--5-4-3-2-1 1 2 3 4 5 6 7 8 T 20 F CO What rotation was applied to triangle DEF to create triangle D'E'F'?
Write the addition sentence below as a multiplication sentence.
2 + 2 + 2 + 2 + 2 + 2 = 12
Answer:
6*2 = 12
Step-by-step explanation:
2 + 2 + 2 + 2 + 2 + 2 = 12
There are six 2's being added together
6*2 = 12
Answer: 2*6
Step-by-step explanation:
There are 6 2's shown in the question. Thus, simply do 6*2.
Hope it helps <3
Are the ratios 1:2 and 12:16 equivalent?
Answer:
No
Step-by-step explanation:
You would have to multiple the same number by both the numerator and the denominator to get the same number.
\(\frac{1}{2}\) x\(\frac{8}{8}\) = \(\frac{8}{16}\) The denominator would be 16, but the numerator is not 12.
\(\frac{1}{2}\) x \(\frac{12}{12}\) = \(\frac{12}{24}\) This time I go the numerator that I wanted 12, but the denominator is not 16.
Helping in the name of Jesus.
Blake is working his way through school. He works two part-time jobs for a total of 22 hours a week. Job A pays $5.70 per hour, and Job B pays $7.30 per hour. How many hours did he work at each job the week that he made $141.40.
Answer:
Job A= 12hrs and Job B= 10hrs
Step-by-step explanation:
first u need to make 2 equations, with 2 variables and the pay per hour for both jobs and let the first equal to the total pay at the end of the week
5.7x + 7.3y = 141.4
then the 2nd equation, let it equal to the total hours worked:
x + y = 22
you then make one of the variables the subject of the formula:
x= 22 - y
and substitute that formula into the first equation you would've made:
5.7(22-y) + 7.3y = 141.4 in this instance you then solve for y:
where y= 10hrs
given that y=10 you can then substitute it into either of the 2 equations:
x+y=22
x= 22-y
x= 22 - 10
x= 12hrs
therefore stating that Blake worked 12 hrs at job A and 10 hrs at job B
−8/9=−1/6−3/10x
Enter your answer as a mixed number in simplest form in the box.
x =
Answer:
8.1 is the answer i think
calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly
Answer:
9.725%
Step-by-step explanation:
(1.0475)^2 =1.09725
one year 2 periods 4.75% per period
The first term in a sequence is 3
The term-to-term rule is + 8
What is the 5th term?
PLEASE HELP
Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.
square root of twenty-eight, thirty-two over seven, cube root of fifty-eight
thirty-two over seven, square root of twenty-eight, cube root of fifty-eight
cube root of fifty-eight, square root of twenty-eight, thirty-two over seven
thirty-two over seven, cube root of fifty-eight, square root of twenty-eight
Answer:
sqrt28, 32/7, cubrt58
Step-by-step explanation:
It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.
sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)
28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.
cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.
So in order from big to small is
5...
4...
3...
which is
sqrt28,
32/7
cubrt58
The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.
What is descending order?It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.
Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.
∛58, 32/7, and √28
The expression is converted into decimal form, then we have
∛58, 32/7, and √28
3.87, 4.57, and 5.29
Then the order of the numbers from greatest to least will be
√28 > 32/7 > ∛58
The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.
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an apparel shop is running a special on t-shirts the first shirt cost $15 each additional shirt is cheaper the cost, c, for n t-shirts is given by the equation c=15+9(n+1)
how much will it cost for 2 t shirts
how much for 5 t shirts h
how much does additional cost after the first one? how do you know?
The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.
The cost of n t-shirts is given by the equation:
c = 15 + 9(n + 1)
c is the cost in dollars and n is the number of t-shirts.
The cost for 2 t-shirts, we substitute n = 1 into the equation:
c = 15 + 9(1 + 1) = 33
So it will cost \($33\) for 2 t-shirts.
The cost for 5 t-shirts, we substitute n = 4 into the equation:
c = 15 + 9(4 + 1) = 51
So it will cost \($51\) for 5 t-shirts.
The cost of additional shirts after the first one is \($9\) per shirt.
The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.
The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).
n is the quantity of t-shirts, and c represents the price in dollars.
We change n = 1 to represent the price of 2 t-shirts:
c = 15 + 9(1 + 1) = 33
the price will be.
t-shirts for two.
We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51
the price will be.
Five t-shirts worth.
After the first shirt, additional shirts cost each shirt.
The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.
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PLEASE HELP IF YOU ANSWER BOTH I WILL GIVE
1. BRAINLIEST
2. 5 STARS
3. HEARTS
Answer:
both of your answers are b
Step-by-step explanation:
20. difference means subtract
21. assosiative property has to deal with three numbers while communitive is 2 numbers
Which of the equations below could be the equation of this parabola?
10+
(0, 0)
10
Vertex
-10
O A. x = 3y2
B. y = 3x2
O C. X=-3y2
D. y = -3x2
Answer:
C. x=-3y^2
Step-by-step explanation:
The group of parabola opens left so, x=ay^2
parabola opens left so a in negative x=-3y^2
Hope it helps....
Choose the one alternative that best completes the statement or answers the question compared to scores a score of 88 on a test with a mean of 70. 9? And then a score of 78 on a test with the meaning of 70.
We can cοnclude that the scοre οf 88 is higher than the scοre οf 78.
Tο cοmpare the scοres οf 88 and 78, we need tο calculate their deviatiοn frοm the respective means and cοmpare them.
Fοr the first scοre οf 88 οn a test with a mean οf 70 and standard deviatiοn οf 9, the deviatiοn is:
(88 - 70) / 9 = 2
Fοr the secοnd scοre οf 78 οn a test with a mean οf 70 and standard deviatiοn οf ?, we dοn't have enοugh infοrmatiοn tο calculate the deviatiοn. Hοwever, we can still cοmpare the scοres based οn their relative pοsitiοn tο the mean.
Since the mean is the same fοr bοth tests, we can say that a scοre οf 88 is higher than the mean by 18 pοints, while a scοre οf 78 is lοwer than the mean by 2 pοints.
Therefοre, we can cοnclude that the scοre οf 88 is higher than the scοre οf 78.
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If two data points are 10 and 20, what data point would make 30 the mean?
Answer:
60
Step-by-step explanation:
The mean of a set of numbers is calculated by adding them all together and then dividing the sum by the amount of values in the data set. In this scenario, we know the mean is 30, and there are 3 numbers in the data set, 10, 20, and an unknown number (x).
Let's set up an equation with the information we have.
30 = (10 + 20 + x) / 3
Now we can multiply both sides by 3 ==>
90 = 10 + 20 + x
Combine like terms ==>
90 = 30 + x
Subtract 30 from each side ==>
60 = x
And now you have your answer!
The value of x = 60 would make the mean of the data set 30.