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Alexeev081 [22]
3 years ago
5

Find the equation of the line which passes through (4, -1) and (2,-1).

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
I think it’s D maybe
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Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20
zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

x+8y=-2\\x=-2-8y

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

x-3y=20\\(-2-8y)-3y=20

We can then simplify:

-2-8y-3y=20 Given equation

-2-11y=20 Combine y terms

-11y=22 Add 2

y=-2 Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

x+8y=-2

x+8(-2)=-2 Substitute for y

x-16=-2 Distribute 8

x=14 Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

4 0
3 years ago
Drag and drop each pair of lines to categorize them as either parallel, perpendicular, or neither.
miss Akunina [59]
Answer:
first box is parallel
Second box perpendicular
Third box neither
Fourth box neither
Fifth box perpendicular
Sixth box is parallel

Why? Slopes of parallel lines are the same. Slopes of perpendicular lines are opposite reciprocals. (Example slope=1/2 a perpendicular line would be -2/1). Neither is just a when it’s not either parallel or perpendicular.

Hope this helps
8 0
2 years ago
11 –2<br><br> · <br> 3 –4<br><br> · <br> 6 2<br><br> =
Sav [38]

Answer: negative 243

11 - 2 x 3 - 4 x 62 =

11 - 6 - 4 x 62=

11 - 6 - 248=

5 - 248=

-243

4 0
3 years ago
Read 2 more answers
Help please? match each system of linear equation with the correct numbers of solutions ​
Ksenya-84 [330]

Answer:

Step-by-step explanation:

First system:  no solution, since the two lines are parallel; they never cross.

Second system:  one solution

Third system:  infinitely many solutions, since the second equation is a multiple of the first

4 0
3 years ago
Gabby received change worth $2.10. She received 3 more dimes than nickels and 4 less quarters than nickels. How many of each kin
xz_007 [3.2K]

Answer:

Gabby received

7 nickels

10 dimes

3 quarters

Step-by-step explanation:

Let

x----> the number of dimes

y----> the number of nickels

z---> the number of quarters

Remember that

1 dime=$0.10

1 nickel=$0.05

1 quarter=$0.25

we know that

0.10x+0.05y+0.25z=2.10 ------> equation A

x=y+3-----> equation B

z=y-4 -----> equation C

substitute equation B and equation C in equation A and solve for y

0.10(y+3)+0.05y+0.25(y-4)=2.10

0.10y+0.30+0.05y+0.25y-1=2.10

0.40y=2.10-0.30+1

0.40y=2.80

y=7 nickels

<em>Find the value of x</em>

x=y+3 -----> x=7+3=10 dimes

<em>Find the value of z</em>

z=y-4 -----> z=7-4=3 quarters

therefore

Gabby received

7 nickels

10 dimes

3 quarters

6 0
3 years ago
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