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3 years ago

15

Is the first answer correct and what's the next answer? Thanks

2 answers:

miskamm [114]3 years ago

5 0

That is correct and the next one is a = 30

JulijaS [17]3 years ago

3 0

Answer:

First answer is correct and the answer for the second question is a = 30

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Is this table proportional?

Alborosie

Yes because x NEVER repeats.

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3 years ago

Need help...,.......

givi [52]

I hope this helps you

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4 years ago

A service station will be built on the highway, and a road will connect it with cray. How long will the new road be?

zysi [14]

Answer: 4.6 mi

Step-by-step explanation:

Suppose the points A, B, C and S shows Alba, Blare, Cray and Service station respectively,

Then, We have to find out the line segment CS = x = ?

Now, In the triangles ACB and CSB,

$\angle ACB\cong \angle CSB$ ( Right angles )

$\angle ABC\cong \angle CBS$ ( Reflexive angles )

Thus, by AA similarity postulate,

$\triangle ACB\sim\triangle CSB$

By the property of similar triangles,

$\frac{AB}{CB}=\frac{AC}{CS}$

$\implies \frac{13}{5}=\frac{12}{x}$

$\implies 13x=5\times 12$

$\implies 13x = 60$

$\implies x =\frac{60}{13}=4.61539\approx 4.6$

Hence, the approximate length of the new road = 4.6 miles

3 0

3 years ago

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em> 3x-2y=4.</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

4 0

2 years ago

Find the volume of a cube whose side measures 2.5 units.

vazorg [7]

volume = length x width x height

all 3 are the same = 2.5

so volume = 2.5 * 2.5 * 2.5 = 15.625 cubic units

3 0

4 years ago