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Andrew [12]
3 years ago
13

Please help me with this!

Mathematics
2 answers:
Marat540 [252]3 years ago
8 0

Answer:

common

Step-by-step explanation:

Firlakuza [10]3 years ago
8 0

Answer:

10. A

11. C

Step-by-step explanation:

Hope this is correct. If it is wrong please feel free to critique my mistake(s). I'm sorry in advance if it is incorrect.

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Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
arsen [322]

Answer:

y=-2x+2

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope</u>

m=\frac{y_2-y_1}{x_2-x_1} where the two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (-1, 4) and (0, 2)

=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2

Therefore, the slope of the line is -2. Plug this into y=mx+b:

y=-2x+b

<u>2) Determine the y-intercept</u>

y=-2x+b

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

y=-2x+2

I hope this helps!

6 0
3 years ago
Determine whether the lines x+ 7y= −3 and y = 7x + 25 are parallel, perpendicular, or neither. Justify your answer by showing al
Zielflug [23.3K]

Answer:

perpendicular

Step-by-step explanation:

Rewrite the equations

y = (-1/7)x - 3/7 -- L1

y = 7x + 25 -- L2

Slope of L1 x Slope of L2 = -1/7 x 7 = -1

As a result, the two lines are perpendicular

3 0
3 years ago
Two integers, a and b, have a product of 24. What is the least possible sum of a and b?
mafiozo [28]
The two integers are 6 and 4 because the factors of 24 are 1,2,3,4,6,8,12,24 and 4 and 6 have the smallest sum out of all of them.
1+24=25
2+12=14
3+8=11
4+6=10

5 0
4 years ago
Is it possible for two triangles to have the same side lengths but not be congruent?
Rufina [12.5K]
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
7 0
3 years ago
What are the extremes of the following proportion? 3⁄15 = 12⁄60
pashok25 [27]

<u>Answer:</u>

3 and 60

<u>Step-by-step explanation:</u>

For the given proportions, \frac { 3 } { 15 } = \frac { 12 } { 60 }, 3 and 60 are the extremes while 12 and 15 are the means.

To understand this, we can take a look at an example.

Suppose two ratios a:b and c:d are in proportion.Then it can be expressed as :

ab=cd

Here, a and d are the extreme ends and b and c are the means.

6 0
3 years ago
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