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3 years ago

Give the slope of each of the following lines Name a point on each line y+2=2/3 (x-4)

Mathematics

1 answer:

Effectus [21]3 years ago

4 0

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3 or y = 2/3x - 14/3

Slope = 2/3

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ss7ja [257]

The red marble is farthest from the target.

4 0

3 years ago

Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)

Aleksandr [31]

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: $\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }$

i) CD= $\sqrt{(4-4)^2 +(-1+5)^2}$

CD= $\sqrt{0+4^2}$

CD=4 units

ii) DE= $\sqrt{(4-2)^{2}+(-5+3)^2 }$

DE= $\sqrt{(2)^2+(-2)^2}$

DE= $\sqrt{8}$

DE= 2 units

iii) ED= $\sqrt{(2-4)^2+(-3+1)^2}$

ED= $\sqrt{(-2)^2+(-2)^2}$

ED= $\sqrt{8}$

ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

=8 units

4 0

3 years ago

Simplify 9 to the 2nd over 9 to the 7th.

Free_Kalibri [48]

9^2/9^7

when dividing powers, we subtract the exponents

9^(2-7)

9^ (-5)

a negative exponent flips from the numerator to the denominator

1/ 9^5

Choice D

6 0

3 years ago

Read 2 more answers

Help me please !!!!!!!!!!!!!!

tensa zangetsu [6.8K]

Answer:

$\large\boxed{V=\dfrac{49\pi}{3}\ in^3}\approx51.29\ in^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have

r = (7 : 2) in = 3.5 in

H = 4 in

Substitute:

$V=\dfrac{1}{3}\pi(3.5)^2(4)=\dfrac{1}{3}\pi(12.25)(4)=\dfrac{49\pi}{3}\ in^3$

$\pi\approx3.14\\\\V\approx\dfrac{(49)(3.14)}{3}\approx51.29\ in^3$

5 0

3 years ago

F(x) = 2(x + 4)^2 (x - 2)

Kryger [21]

Answer:

Step-by-step explanation:

hope it helpz >-<

7 0

3 years ago

Read 2 more answers