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3 years ago

Need help. How do I do this

Mathematics

1 answer:

lara [203]3 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

Use the distance formula with the two points Q and P, then simplify and match the pattern of the answer.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(b-0)^2+(-c-(-a))^2}\\\\\boxed{d=\sqrt{b^2+(-c+a)^2}}$

The value b goes in the green box.

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Find the distance between the points (-7,-6) and (5,-6) .

PilotLPTM [1.2K]

Answer:

12 units

Step-by-step explanation:

We are given these two points, (-7,-6) and (5,-6), and we are to find the distance between them.

We know the formula for finding the distance between two points:

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So putting in the values of the given coordinates in the above formula to get:

Distance = $\sqrt{(5-(-7))^2+(-6-(-6))^2}$ = $\sqrt{144 + 0} =12$

Therefore, the distance between the two given points is 12 units.

5 0

3 years ago

The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents

nirvana33 [79]

Since x represents the year, year 15 will be 15 years.

Plug in "15" as your "x"

y = -2(15)^2 + 36(15) + 6

15^2 = 225 (Exponents come before multiplication)

y = -2(225) + 36(15) + 6

y = -450 + 540 + 6

y = 90 + 6

y = 96

The answer is B

3 0

4 years ago

A local university wanted to understand what students prefer to eat during finals. They asked 1000 students, "Do you prefer chic

olga55 [171]

Answer:

$P(\text{Pizza}\ |\ \text{Female})=0.225$

Step-by-step explanation:

The two-way frequency table is attached below.

We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e $P(\text{Pizza}\ |\ \text{female})$

This is a conditional probability.

We know that,

$P(A\ |\ B)=\dfrac{P(A\ \cap\ B)}{P(B)}$

So,

$P(\text{Pizza}\ |\ \text{Female})=\dfrac{P(\text{Pizza}\ \cap\ \text{Female)}}{P({\text{Female}})}$

From the table,

$P(\text{Pizza}\ \cap\ \text{Female)}=\dfrac{119}{1000}$

$P({\text{Female}})=\dfrac{530}{1000}$

Putting the values,

$P(\text{Pizza}\ |\ \text{Female})=\dfrac{P(\text{Pizza}\ \cap\ \text{Female)}}{P({\text{Female}})}=\dfrac{\frac{119}{1000}}{\frac{530}{1000}}=0.225$

8 0

3 years ago

What is the area of the lateral surface of the following cylinder?

NikAS [45]

Surface Area = (2 • π • r²) + (2 • π • r • height)

(2 • π • r²) is surface area of the "ends"

(2 • π • r • height) is lateral area

Lateral Area = 2 * PI * 2 * 7

Lateral Area =28 * PI =

87.9645943005 square inches 
Answer is B

4 0

3 years ago

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dybincka [34]

%60 because i dont know why actually

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3 years ago