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3 years ago

How to find the coordinates?

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

The lower number of the fraction is the X value and since it's negative u go 3 to the right(if u loon at point T)and since it's a negative 4 on the top you go 4 down and if you would reverse it you would notice that 0|4 is 1 y value below the straight line so the coordinates are (3|5)

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Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Nezavi [6.7K]

$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

7 0

3 years ago

A sphere has a volume of 288 pi in^3. Find the surface area, Express your answer in pi.

Tpy6a [65]

Sphere Volume = 4/3 • π • r³
r^3 = sphere volume / (4/3 * PI)
r^3 = 288*PI / (4/3 * PI)
r^3 = 288 / (4/3)
r^3 = 216
r = 6 inches

Sphere Surface Area = 4 • π • r²

Sphere Surface Area = 4 * PI * 36

Sphere Surface Area = 452.389 square inches

4 0

3 years ago

Read 2 more answers

I need help with math please help me!

VladimirAG [237]

Answer:

9.55 cm

Step-by-step explanation:

The circumference is also called the perimeter, which is the length of the outline of any shape.

So,

$Perimeter = \pi *diameter\\30 cm = \pi * d\\\\d = \frac{30}{\pi} cm\\\\d=9.54929658551\:cm\\d=9.55\:cm$

7 0

2 years ago

1. Sarah's age is twice that of her sister. When you add Sarah's age to her sister's age, you get 33. How old is

Semmy [17]

Answer:

x+2x=33

3x=33

x=11

Sara's sisiter is 11

Sarah is (11 times 2) 22

6 0

3 years ago

Read 2 more answers

Which equation does not belong with the other three? O y= -5x - 1 O 2x - y = 8 O y = x +4 y = -3r + 13

Fittoniya [83]

Answer:

The equation y = -3r + 13 does not belong with the other three.

Step-by-step explanation:

We have 4 equations

y = -5x
2x - y = 8
y = x + 4
y = -3r + 13

The first 3 equations have relations between two variables x and y

So they are linear equations of two variables x and y

The fourth equation has a relation between two variables r and y

So it is a linear equation of two variables r and y

The fourth equation does not belong to with the first three equations because it has a different variable r

The equation y = -3r + 13 does not belong with the other three.

8 0

3 years ago