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3 years ago

Find the x and y-intercept of the line -6x+12y=24

1 answer:

8 0

$-6x+12y=24\\\\x-intercept\ for\ y=0:\\\\-6x+12(0)=24\\-6x=24\qquad\text{divide both sides by (-6)}\\\boxed{x=-4}\to(-4,\ 0)\\\\y-intercept\ for\ x=0:\\\\-6(0)+12y=24\\12y=24\qquad\text{divide both sides by 12}\\\boxed{y=2}\to(0;\ 2)$

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Which number is not the same type of number as the others in the list? 5.85, 63.4, 8.52624, 27.5

Darya [45]

8.52624 is not the same as 5.85, 63.4 , and 27.5.

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3 years ago

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Π (pi) is an unending decimal. Find the Circumference of the circle below using exact π (pi).

dalvyx [7]

Step-by-step explanation:

Given radius, r = 5,

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2 years ago

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The basketball team scored 82 points from 2- points anf 3-points baskets. They make 38 baskets altogether. Let a represent the n

dexar [7]

Answer:

The System of linear equations are:

$2a+3b = 82$

$a+b=38$

Step-by-step explanation:

Here, a represents the number of 2-points and b represent the number of 3-point basket.

As per the statement:

The basketball team scored 82 points from 2- points and 3-points baskets.

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It is also given that: They make 38 baskets altogether.

⇒ $a+b=38$

therefore, the system of linear equations are:

$2a+3b = 82$

$a+b=38$

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3 years ago

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Write the logarithmic expression as a single logarithm.

Gelneren [198K]

Answer:

$\log_48$

Step-by-step explanation:

$\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48$

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1 year ago

I need the answers for 1 a-d pleas

DaniilM [7]

We want to find a fraction that is between

$\frac{1}{4}\:and\:\frac{1}{2}$

There are several ways to go about this.

There are also infinitely many fractions that can be found between the given fractions.

Let us go for the one in the middle of the two fractions.

So we add the two fractions and divide by 2.

a) $\frac{\frac{1}{4} +\frac{1}{2} }{2}$

Find LCM for the numerator

$\frac{\frac{1+2}{4}}{2}$

Simplify:

$\frac{\frac{3}{4}}{2}$

$\frac{\frac{3}{2}}{2}$

$\frac{3}{8}}$

b) $\frac{\frac{1}{3} +\frac{3}{4} }{2}=\frac{13}{24}$

c) $\frac{\frac{1}{2} +\frac{3}{4} }{2}=\frac{5}{8}$

d) $\frac{\frac{3}{5} +\frac{7}{8} }{2}=\frac{59}{80}$

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3 years ago