Find the coordinates of the midpoint of ab with endpoints a(-10,3) and b(2,-2) worksheet answers

Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)

Brrunno [24]

Answer:

$- 3(x + 4) {}^{2} - 4$

Step-by-step explanation:

Vertex form is

$a(x - h) {}^{2} + k = f(x)$

We know that h and k are both -4. Let x be -2 and y be -16.

$a( - 2 + 4) {}^{2} - 4 = - 16$

$a(2) {}^{2} - 4 = - 16$

$4a - 4 = - 16$

$4a = - 12$

$a = - 3$

So the equation in vertex form is

$- 3(x + 4) {}^{2} - 4$

5 0

3 years ago

Marcy is concerned that her findings may be due to an extraneous uncontrolled variable and not her treatment. Marcy is most conc

Westkost [7]

Answer:

c

Step-by-step explanation:

because it's her extraneous uncontrolled variable

4 0

3 years ago

What are the center and radius of the circle defined by the equation x^2 y^2-6x 4y 4=0?

Kazeer [188]

Please rewrite this equation of the circle correct with signs of minus or plus

6 0

3 years ago

All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{92 - 82}{4.5}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0

3 years ago

Determine which gym's membership grows faster from Month 2 to Month 4 by calculating the average rates of change.

nlexa [21]

Answer:

Gym A is growing faster

Gym A gained 13 members between months 2 and 4

Gym B gained 10 members between months 2 and 4

Step-by-step explanation:

Gym A: (2,20) (4,46)

rate of change = (46-20)/(4-2) = 26/2 or 13

Gym B: (2,40) (4,60)

rate of change = (60-40)/(4-2) = 20/2 or 10

8 0

3 years ago