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Rina8888 [55]
2 years ago
12

5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
7 0

The x-value of the intersection point of the lines is ( d - b)/(a-c)

<h3>Intersection of lines</h3>

Given the equation of a line expressed as;

y = ax +b and;

y = cx + d.

Equating both lines, we will have:

  • ax + b = cx + d

Make x the subject of the formula:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)

Learn more on intersecting lines here: brainly.com/question/2065148

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Given the quadratic equation below, determine which situation it could represent? x2 -4x = 60
yarga [219]

Answer:

The solution is x = 10 and x = -6. This quadratic could be represented in factored form as (x - 10)(x + 6) or on a graph with x-intercepts at (10,0) and (-6,0).

Step-by-step explanation:

To solve the quadratic, write the quadratic in standard form and factor the equation.

x² - 4x = 60

x² - 4x - 60 = 0

(x - 10)(x + 6) = 0

x = 10 and x = -6

4 0
3 years ago
Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.
Andrew [12]

The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.

<h3>What is inequality?</h3>

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

y ≤ x - 3

Put x = 0

y ≤ 0 - 3

y ≤ -3

Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.

Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".

For more about inequality,

brainly.com/question/20383699

#SPJ1

4 0
1 year ago
Read 2 more answers
Find the volume of a cone with a height of 12 and a base diameter of 6.
vichka [17]

Answer: 466.56

Step-by-step explanation:

Volume = pi times radius^2 times height/3

Radius = 1/2 of the diameter

Volume = 3.24 times 6^2 times 12/3

Volume = 3.24 times 36 times 4

Volume = 116.64 times 4

Volume = 466.56

5 0
2 years ago
2x^2+28x+98=0 factor completely
Julli [10]
2(x+7)^2=0 would be your answer :)
4 0
3 years ago
What is the distance between (-6,2) and (8,10) on a coordinate grid
r-ruslan [8.4K]

Answer: 14 right and 8 up, or (14, 8)

Step-by-step explanation:

To find the distance, you can subtract or add numbers.

So from (-6, 2) to 0, I have to move right 6 spaces to get (0, 2).

Then, I must move 8 to the right to get (8, 2).

From here, I continue to move up 8 since we want to get to (8,10). So in all, you should move 14 spaces to the right and 8 up (14, 8).

5 0
3 years ago
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