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3 years ago

Solve the system of equations.

Mathematics

1 answer:

MAXImum [283]3 years ago

8 0

Answer:

D. (-2, -6) and (5,15)

Step-by-step explanation:

When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.

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Which number line shows the approximate location of 35?

ANEK [815]

Answer:

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Step-by-step explanation:

5 0

3 years ago

-1/4n - n= -5/6 What does n equal, Please I need this done very quickly!!

amid [387]

Answer:

n = 2/3

Step-by-step explanation:

6 0

3 years ago

One-third of a number is 1 more than one-fourth of the same number. What is the number?

konstantin123 [22]

Answer:

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

x = 12 . . . . . . . . multiply by 12

7 0

3 years ago

What's the circumference of a circle with a diameter of 9 inches?

yaroslaw [1]

Answer:

9pi

Step-by-step explanation:

circumference= 2 (pi) (r)

radius = diameter \ 2

r = 9 \ 2 = 4.5in.

c = 2 (pi) (4.5)

c = 9pi or 28.3in.

Hope this helps!

3 0

3 years ago

Two semicircles are attached to the sides of a rectangle as shown.

melomori [17]

Answer:

$157\ in^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of two semicircles

The area of rectangle is equal to

$A=14*5=70\ in^{2}$

The area of the small semicircle is equal to

$A=\pi r^{2} /2$

$r=5/2=2.5\ in$ -----> radius is half the diameter

substitute

$A=(3.14)(2.5^{2})/2=9.8125 in^{2}$

The area of the larger semicircle is equal to

$A=\pi r^{2} /2$

$r=14/2=7\ in$ -----> radius is half the diameter

substitute

$A=(3.14)(7^{2})/2=76.93\ in^{2}$

The area of the figure is equal to

$70+9.8125+76.93=156.7425=157\ in^{2}$

8 0

3 years ago

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