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3 years ago

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

2 answers:

3 0

Let's solve for x.y−3=x+2Step 1: Flip the equation.x+2=y−3

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

Answer:

x=y−5

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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3 years ago

If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas

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3 years ago

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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

Leviafan [203]

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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 $y=3 x-2$

Slope:

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 $m=-\frac{1}{3}$

Equation of the line:

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,

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

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

$y=-\frac{1}{3}+\frac{7}{3}$

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

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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 x mL of the 8% acid solution, and y mL of the 5% solution.

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

x + y = 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 0.08x mL of acid, and the 5% solution contributes 0.05y mL, so

0.08x + 0.05y = 0.068(x + y) = 0.068 * 500 = 34

Now,

y = 500 - x

0.08x + 0.05(500 - x) = 34

0.08x + 25 - 0.05x = 34

0.03x = 9

x = 300

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

6 0

3 years ago