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goldenfox [79]
3 years ago
9

Which ordered pair is a solution to the equation: y - 3 = x+2?

Mathematics
2 answers:
inysia [295]3 years ago
3 0
Let's solve for x.<span><span>y−3</span>=<span>x+2</span></span>Step 1: Flip the equation.<span><span>x+2</span>=<span>y−3

</span></span>Step 2: Add -2 to both sides.<span><span><span>x+2</span>+<span>−2</span></span>=<span><span>y−3</span>+<span>−2</span></span></span><span>x=<span>y−5

</span></span>Answer:

<span>x=<span>y−<span>5</span></span></span>
Sidana [21]3 years ago
3 0
Answer:
d) (10,5)

to check:
(5,10)
x=5
y=10

y-3=x+2
10-3=5+2
7=7
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two linear functions have the same slope,same x-intercept, and same y-intercept. Must these functions be identical? Explain your
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3 years ago
Which of the following is an equation of the line that passes through the point (−2, 3) and is perpendicular to the graph of the
Ludmilka [50]

The equation of the line is y=-\frac{1}{3}+\frac{7}{3}

Explanation:

The given equation is y=3 x-2

<u>Slope:</u>

Since, the equation of the line is perpendicular to the equation y=3 x-2, then, the slope is given by

m=-\frac{1}{3}

Hence, the slope is m=-\frac{1}{3}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (-2,3) and the slope m=-\frac{1}{3}, in the above formula, we get,

y-3=-\frac{1}{3}(x+2)

Simplifying, we get,

y-3=-\frac{1}{3}x-\frac{2}{3}

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     y=-\frac{1}{3}+\frac{7}{3}

Therefore, the equation of the line is y=-\frac{1}{3}+\frac{7}{3}

8 0
3 years ago
1) A chemist mixes an 8% nitric acid solution with a 5% nitric acid solution. How many milliliters of the 5% solution should the
Novay_Z [31]

Suppose the chemist uses <em>x</em> mL of the 8% acid solution, and <em>y</em> mL of the 5% solution.

The chemist wants to end up with a 500 mL solution, so

<em>x</em> + <em>y</em> = 500

and wants this solution to have a concentration of 6.8% acid. This means 6.8% of this volume should be acid. By volume, the 8% solution contributes 0.08<em>x</em> mL of acid, and the 5% solution contributes 0.05<em>y</em> mL, so

0.08<em>x</em> + 0.05<em>y</em> = 0.068(<em>x</em> + <em>y</em>) = 0.068 * 500 = 34

Now,

<em>y</em> = 500 - <em>x</em>

0.08<em>x</em> + 0.05(500 - <em>x</em>) = 34

0.08<em>x</em> + 25 - 0.05<em>x</em> = 34

0.03<em>x</em> = 9

<em>x</em> = 300

The chemist must use 300 mL of the 5% solution.

6 0
3 years ago
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