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tatuchka [14]
3 years ago
8

Write the point-slope equation of the line that goes through (5, 7) with a slope of -13.

Mathematics
1 answer:
Julli [10]3 years ago
3 0
Slope m = -13.

point = (5, 7)   =   (x₁ , y₁) = (5, 7)   

y - y₁ = m(x - x₁)

<span>y - 7 = -13(x - 5)         Point-slope equation</span>
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Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2
tia_tia [17]

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is D_{Q,2.5}. It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

\text{Scale factor}=\dfrac{QU'}{QU}

It is given that QU=4 and scale factor = 2.5.

2.5=\dfrac{QU'}{4}

Multiply both sides by 4.

2.5\times 4=QU'

10=QU'

We know that

UU'=QU'-QU

UU'=10-4

UU'=6

The distance between U' and U is 6 units.

Therefore, the correct option is C.

8 0
3 years ago
Read 2 more answers
Math answer plz need help with this plz answer
Neporo4naja [7]

Answer:

176.625 sq.ft, 4.8 sq.ft

Step-by-step explanation:

Area of circle=πr^2 or πd^2/4
11. Given,
d=15 ft
Now,
Area=πd^2/4
3.14*15^2/4
176.625 ft^2
Therefore, the area approximation is 176.6 sq.ft
12.
Given,
d=3.5 ft
Now,
Area= πd^2/8
3.14*3.5^2/8
4.8 sq.ft
I got the answer by dividing the area of circle by 2 as semicircle is half of circle.

6 0
2 years ago
A box's volume is equal to 600 cubic
olga2289 [7]

Answer:

Step-by-step explanation:

Length = x

width = x - 7

height = x - 10

volume = 600 in^3

Volume = L * w * h

600 = x * (x - 7)*(x - 10)

600 = x * (x^2 - 17x + 70)

600 = x^3 - 17x^2 + 70x

x^3 - 17x^2 + 70x - 600 = 0

There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

b  = - 17

c = 70

d = - 600

There is only 1 real solution: x = 15

L = 15

w = 8

h = 5

That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

3 0
2 years ago
Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39. What is the average price of his books? Choose th
ch4aika [34]
I think the correct answer among the choices presented above is option B. Average is the sum of all the data divided the number of data added. From the statement, we have 3 prices to be added and divided by 3. Therefore, the average is calculated as

<span>($32 + $45 + $39) ÷ 3</span>
7 0
3 years ago
What is 15% of 60? Create a model to prove your answer (this is the question. I didn't really understand today's lesson in class
skelet666 [1.2K]
If you have instagram dm me and ill show you how to make the graph my instagram is ____ella.grace____ 4 underscores btw
8 0
3 years ago
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