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QveST [7]
2 years ago
14

Through any two points there is exactly one?

Mathematics
1 answer:
netineya [11]2 years ago
4 0
Through any two points there is one, and only exactly one line.
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What is the final amount when investing $1400 compounded continuously at 7.5% for 12 years?
strojnjashka [21]

Answer:$3334.5

Step-by-step explanation:

A=p(1+r/100)^n

A=1400(1+7.5/100)^12

A=1400(1.075)^12

A=1400×2.381

A=$3334.5

8 0
3 years ago
The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 90 cubic centimeters.
exis [7]

Answer:

\huge\boxed{\sf Volume\ of\ cylinder = 270\ cm^3}

Step-by-step explanation:

Volume of cone = 90 cm³

Volume of cylinder = ?

<u>Always remember:</u>

Volume of cylinder = 3 × volume of cone

Volume of cylinder = 3 × 90

Volume of cylinder = 270 cm³

\rule[225]{225}{2}

5 0
2 years ago
8x + 2y= 10<br> Solve the equation for y ...?
madam [21]
8x+2y=10
-8x -8x

2y=-8x+10
_ _ _
2 2 2

y=-4x+5
8 0
3 years ago
Read 2 more answers
Pllsss help
alexgriva [62]

Answer:

A. |x|=9 D. -|-x|=-9 F. |-x|=9

Step-by-step explanation:

a. |9|=9

D. -|9| = -9

F. 9=9

7 0
3 years ago
Find the minimum y-value on the graph of y=f(x)<br><br> F(x) = 7x^2 + 7 - 6
Kisachek [45]

Answer:

The minimum y-value is

y=-\frac{31}{4}  or  y=-7.75

Step-by-step explanation:

we have

f(x)=7x^{2}+7x-6

This is the equation of a vertical parabola open up

The vertex is the minimum y-value on the graph

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+6=7x^{2}+7x

Factor the leading coefficient

f(x)+6=7(x^{2}+x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+6+1.75=7(x^{2}+x+0.25)

f(x)+7.75=7(x^{2}+x+0.25)

Rewrite as perfect squares

f(x)+7.75=7(x+0.5)^{2}

f(x)=7(x+0.5)^{2}-7.75 ------> equation in vertex form

The vertex is the point (-0.5,-7.75)

therefore

The minimum is the point (-0.5,-7.75)

The minimum y-value is y=-7.75=-7\frac{3}{4}=-\frac{31}{4}

see the attached figure to better understand the problem

6 0
3 years ago
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