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3 years ago

Does the line whose equation is 4/3 x + 8 pass through the point (9,20)

Mathematics

1 answer:

sergey [27]3 years ago

5 0

Answer: yes

Step-by-step explanation: slope is 4/3 and y intercept is 8

m= Y-20/0-9

4/3= y-20/-9

4/3 x -9 = y-20

-12 = y-20

Y=20-12

Y=8

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Select all ratios equivalent to 6:3 42:21 14:7 9:1

Lynna [10]

Answer: 42:21 and 14:7

Step-by-step explanation:

42:21, 6:3, and 14:7 all reduce to 2:1, but 9:1 does not.

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3 years ago

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im failing lol help The areas of the squares adjacent to two sides of a right triangle are 29.25 units^2 and 13 units ^2

Softa [21]

Answer and Step-by-step explanation:

To find the length of z, we need the lengths of the other 2 sides first. Simply take the square root of both areas and that will be your sides.

$\sqrt{13}$ and $\sqrt{29.25}$

Now find z, the hypotenuse.

$(\sqrt{13}) ^2 + (\sqrt{29.25} )^2 =z^2\\\\13 + 29.25 = z^2\\\\42.25 = z^2\\\\\sqrt{42.25} = z\\\\6.5 = z$

6.5 is the answer.

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7 0

3 years ago

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The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown. f(x) = 4(x2 + 12x) + 10 (twelve-halves) squared = 36

brilliants [131]

Answer:

$f(x)=4(x+6)^2-134$

Step-by-step explanation:

We are required to write the function $f(x) = 4x^2 + 48x + 10$ in vertex form.

First, bring the constant to the left-hand side.

$f(x) -10= 4x^2 + 48x$

Factorize the right hand side.

$f(x) -10= 4(x^2 + 12x)$

Take note of the factored term(4) and write it in the form below.

$f(x) -10+4\Box= 4(x^2 + 12x+\Box)$

$\Box = (\frac{\text{Coefficient of x}}{2} )^2\\\\\text{Coefficient of x}=12\\\\\Box = (\frac{12}{2} )^2 =6^2=36$

Substitute 36 for the boxes.

$f(x) -10+4\boxed{36}= 4(x^2 + 12x+\boxed{36})$

$f(x) -10+144= 4(x^2 + 12x+6^2)$

$f(x) +134= 4(x+6)^2\\f(x)=4(x+6)^2-134$

The function written in vertex form is $f(x)=4(x+6)^2-134$

4 0

3 years ago

A certain mass of sugar can be divided into equal heaps. Each heap contains either 27g, 45g, 30g, or 20g. Find the smallest mass

xxTIMURxx [149]

The smallest mass of sugar for which that will be possible will be 30.5g.

Since we're given the information that each heap contains either 27g, 45g, 30g, or 20g, then in order to calculate the smallest mass of sugar that can be divided to get equal heaps, we've to find the average of the numbers given and this will be:

= (27g + 45g + 30g + 20g) / 4

= 122g / 4

= 30.5g

In conclusion, the correct option is 30.5g.

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3 years ago

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Allushta [10]

Answer:

the answer is 300 yards am correct u will get in A++

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3 years ago