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LenaWriter [7]
3 years ago
15

What is the equation in point slope form for the line that is parallel to y=-8x-12 that contains the point (-3,3)

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

The equation of a parallel line in point-slope form would be y - 3 = -8(x + 3)

Step-by-step explanation:

To find this, we must first note that the original slope is -8. Parallel lines have the same slope, so we know that the new line will also have the slope of -8.

Given this information, we can use the point and slope and put them into the base form of point-slope form.

y - y1 = m(x - x1)

y - 3 = -8(x - -3)

y - 3 = -8(x + 3)

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The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
34kurt

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

3 0
2 years ago
Which values of m and b will create a system of equations with no solution? Select two options.
natima [27]

Using linear function concepts, a system of equations with no solutions is created when:

m = -2, b \neq \frac{3}{2}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The intersection of two lines is the solution of a system of equations. If two lines have the <u>same slope and different intercepts</u>, they will never intercept, that is, the system will not have a solution.

The lines are given as follows:

  • y = mx + b.
  • y = -2x + 3/2.

Hence, for a system with no solution, we need that:

m = -2, b \neq \frac{3}{2}

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

3 0
1 year ago
What is the sum f 1.57 and 6.88
pentagon [3]
What is the sum of 1.57 and 6.88?

Ok, so lets work this out together!

Sum means add.

   6.88
+ 1.57

That would be: 

= 8.45

Hope i helped!
5 0
2 years ago
Read 2 more answers
Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
algol13
If nine plus 10 is 21 and the square root of the sun is blank
5 0
1 year ago
Read 2 more answers
62 = 9z + 17<br> Solve for Z
Lina20 [59]

Answer : Z = 5

Step-by-step explanation :

62 = 9z + 17

-17 -17

45 = 9z

/9 /9

5 = z

Plug it back in :

62 = 9(5) + 17

62 = 45 + 17

62 = 62

7 0
2 years ago
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