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3 years ago

Choose the equation of the horizontal line that passes through the point (−5, 9).

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

Answer:

y = 9

Step-by-step explanation:

Took the test

shtirl [24]3 years ago

6 0

The correct answer is: [B]: " y = 9 " .
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The perimeter of a rectangle is 20 inches.The length is 2 inches less than twice the width.

SSSSS [86.1K]

Answer:

width = 6

length = 4

Step-by-step explanation:

perimeter = 2L + 2W

L = W - 2

plug in perimeter:

20 = 2L + 2W

you know the length is 2 less than the width

plug in (w - 2) for L:

20 = 2(w - 2) + 2w

solve for w:

20 = 2w - 4 + 2w

20 = 4w - 4

4w = 24

w = 6

now plug in 6 for w in either equation, whichever is easier to solve:

L = 6 - 2

L = 4

width = 6

length = 4

6 0

3 years ago

Judy has 15 books in her library. She bought some books at a thrift store on Saturday. She now has 85 books in her library. How

netineya [11]

She bought 70 books at the thrift store.

6 0

2 years ago

Read 2 more answers

Would you rather have 15/20 of a pizza or 24/32 of a pizza? Really, it wouldn’t matter because both of those fractions are equiv

lana66690 [7]

Answer:

I think all of these are optional answers

Step-by-step explanation:

7 0

3 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

Members of the drama club spend $795 on t-shirts and sweatshirts for a play.They purchase 20 more tshirts than sweatshirts.They

Anika [276]

Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

8 0

3 years ago