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Gekata [30.6K]
3 years ago
5

I only need one system of inequalities with three points that satisfy both inequalities.

Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Answer:

<u>The given points plotted, only one of them is the solution: </u>

  • (4, 2)

<em>See the picture attached</em>

<u>Additional points to satisfy the system are: </u>

  • (4, 3), (5, 1), (5, 2)

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What is the equation to the line that goes through the point
DochEvi [55]

Step-by-step explanation:

perpendicular slope is negative reciprocal. -1/-1 = 1

y - 4 = x +3

y = x + 7

5 0
3 years ago
Please help me with these two questions, 10 points for each so in total 20!!
saul85 [17]

Answer:

\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (4, 6) and (6, 10). Substitute:

m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2

y-6=2(x-4)           <em>use distributive property</em>

y-6=2x-8      <em>add 6 to both sides</em>

y=2x-2          <em>subteact 2 from both sides</em>

-2x+y=-2

Q4:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

y-6=3(x-(-2))

y-6=3(x+2)         <em>use distributive property</em>

y-6=3x+6     <em>add 6 to both sides</em>

y=3x+12

4 0
2 years ago
Answer ASAP!
valentinak56 [21]

Answer:

A and D

Step-by-step explanation:

Since tangent is opposite/adjacent,

Tan 40 in this case would be x/3.8 (i used x because we don't know what the value is)

So, you set it up as an algebra problem

Tan40 = x/3.8

Multiply both sides by 3.8

3.8tan40 = x, Option A

And then, angle E is 50 degrees

So tan 50 = 3.8/x

Multiply both sides by x

tan50x = 3.8

Divide both sides by tan50

x= 3.8/tan50

So, A and D are both correct

3 0
2 years ago
Marcus is traveling from Rome to Capua on the Via Appia (a 132 mile journey). His horse and cart travels at 8 mph. How long will
nalin [4]

Answer: 16.5 hours

Step-by-step explanation:

distance=rate*time

132=8*x

Divide by 8 on both sides

x=16.5

6 0
3 years ago
In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are six students who
butalik [34]

Answer:

1/6

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24-6=18 play basketball / baseball

6+16=22 plays basketball or baseball

the difference between them

22-18=4 plays basketball and baseball

P=4/24=1/6

4 0
3 years ago
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