3 years ago

Is (-2,-3) a solution of the graphed system of inequalities? yes or no

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

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What is the equation of the line i slope intercept form of the line passing throughoints (-5, -2)) and (3,-14).

Paraphin [41]

STEP 1

Write out the formula needed

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Also, m=}\frac{y_{}-y_1}{x_{}-x_1} \end{gathered}$

STEP 2

Equate both equations together then substitute the values of the points into the equation.

$\begin{gathered} \frac{y_2-y_1}{x_2-x_1}=\frac{y_{}-y_1}{x_{}-x_1} \\ \frac{-14-(-2)}{3-(-5)}=\frac{y-(-2)}{x-(-5)} \\ \frac{-14+2}{3+5}=\frac{y+2}{x+5} \\ -\frac{12}{8}=\frac{y+2}{x+5} \\ -\frac{3}{2}=\frac{y+2}{x+5} \\ \text{Cross multiply} \\ -3(x+5)=2(y+2) \\ -3x-15=2y+4 \\ 2y=-3x-15-4 \\ 2y=-3x-19 \\ \text{Divide both sides by 2} \\ y=-\frac{3x}{2}-\frac{19}{2} \end{gathered}$

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1 year ago

Simplify the ratio 12cm:4m

slavikrds [6]

Answer:

3:1

Step-by-step explanation:

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2 years ago

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Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. If Matthew used 28 blueberries, how many red

stich3 [128]

21 is the answer i believe

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3 years ago

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Mr. Shim's book club meeting started at 6:55 P.M. and ended at 9:35 P.M. How long did the meeting last?

slega [8]

2 hours and 40 minutes

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3 years ago

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The ph measurements of water specimens from various locations along a given river basin are Normally distributed with mean 8 and

Valentin [98]

The probability is 0.7011.

Z-scores are computed using the formula

z = (X - μ)/σ

The z-score for the lower limit is
z = (7.5 - 8)/0.3 = -1.67

The z-score for the upper limit is
z = (8.2 - 8)/0.3 = 0.67

Using a z-table (http://www.z-table.com) we see that the area to the left of the lower limit, less than that, is 0.0475. The area to the left of the upper limit, less than that, is 0.7486. To find the area between them we subtract:

0.7486 - 0.0475 = 0.7011

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3 years ago