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Mrac [35]
3 years ago
14

A line has a slope of -2/3 and a y-intercept of (0, 3). What is the value of y when x = 4?

Mathematics
1 answer:
valentinak56 [21]3 years ago
6 0
Recall the slope-intercept form.

ahemmm so, we know the slope, and we also know the y-intercept, thus the equation of that line is

\bf y=\stackrel{slope}{-\cfrac{2}{3}}x\stackrel{y-intercept}{+3}
\\\\\\
\textit{when x = 4, what is \underline{y}?}\qquad y=-\cfrac{2}{3}(4)+3\implies y=-\cfrac{8}{3}+3
\\\\\\
y=\cfrac{-8+9}{3}\implies y=\cfrac{1}{3}
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Simplify the complex fraction. 8/5 divide by 6 3/4 *
hichkok12 [17]

Step-by-step explanation:

\frac{8}{5}÷6\frac{3}{4}

First, simplify the 6\frac{3}{4} to an improper fraction, which is:

\frac{27}{4}

Next rewrite the equation using the improper fraction:

\frac{8}{5}÷\frac{27}{4}

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.

\frac{8}{5}·\frac{4}{27}

Finally, multiply together and simplify/reduce if needed:

<u>The final answer is </u>\frac{32}{135}<u> and no simplification or reduction is needed</u>

4 0
4 years ago
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
koban [17]

Answer:

Look below

Step-by-step explanation:

Ok Just Plug it in

For the chart

1:8

2:9

3:10

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And then graph on desmos

You should the answer

Sorry if I am wrong.

7 0
3 years ago
Read 2 more answers
Factor out the greatest common monomial: 8x3 y2 - 12x2 y3 + 28x2 y
Zina [86]
Yes xy(8x2 y - 12xy2 - 7x) is the number you would use for the equation of the formula to figure out the mathematical term you would perhaps use if the values located inside the equation were numerous.
3 0
3 years ago
Number 11 please , someone? Thank you .
KIM [24]
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.

Also, in a triangle, the sum of the measures of the interior angles is 180.

We can now calculate the measures of the three angles by writing and solving an equation.

m<A + m<B + m<C = 180

9x - 7 + 7x - 9 + 28 - 2x = 180

Collect like terms on the left side.

9x + 7x - 2x - 7 - 9 + 28 = 180

14x + 12 = 180

Subtract 12 from both sides.

14x = 168

x = 12

Now that we know x, we can find the measure of each angle.

m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4

(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)

Now that we know the angle measures, the opposite sides are in the same order of size.

AB < AC < BC

The sides are, in increasing order of length:

AB, AC, BC
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3 years ago
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The surface area is 358.2 inches ^2

Hope this helps :)
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