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3 years ago

Suppose y varies directly with x, and y =24 when x=8. what is the value of y when x=10?

1 answer:

8 0

The value of y when x is equal to 10 is 30. This is because for every value of x the value of y is 3. This can be known if you divide 24 by 8 you get 3. So if x=10 then y would equal 30.

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I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.

elena-14-01-66 [18.8K]

Hello,

$m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\$

$cos(30^o)=\dfrac{\sqrt{3} }{2} \\$

In the triangle ABC,

$cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\$

$sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}$

In the triangle ACB,

$cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\$

6 0

3 years ago

8x +144 < 2000<br> Solve the in equation and graph

avanturin [10]

Answer:

8x + 144 < 2000

-144

8x < 1856

- ------

8 8

x < 232

7 0

3 years ago

What is the difference between -93 and 114 on a number line?

zhenek [66]

Distance: 7-(-3)=10 Midpoint: (7+(-3))=4/2=2 hahaha haha thats right

3 0

3 years ago

You want a credit card that will help you save money on purchases. What is one way that you can save money with a credit card?

Whitepunk [10]

Answer:

A. You can get cash-back rewards

Step-by-step explanation:

Cash Back rewards are more formally used to save money with a credit card.

5 0

3 years ago

Solve 3x2 + 4x = −5.

Alla [95]

Move the -5 over by adding 5 to both sides
3x^2+4x+5=0
must use quadratic formula

for an equation in the form
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^2-4ac} }{2a}$

a=3
b=4
c=5

x= $\frac{-4+/- \sqrt{4^2-4(3)(5)} }{2(3)}$
x= $\frac{-4+/- \sqrt{16-60} }{6}$
x= $\frac{-4+/- \sqrt{-44} }{6}$
x= $\frac{-4+/- 2\sqrt{-11} }{6}$
remember that√-1=i
x= $\frac{-4+/- 2i\sqrt{-11} }{6}$
x= $\frac{-2+/- i\sqrt{-11} }{3}$

x= $\frac{-2+ i\sqrt{-11} }{3}$ or x= $\frac{-2- i\sqrt{-11} }{3}$

4 0

3 years ago