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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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Joe is making a ramp.Find the length of the ramp if the height is 7meters and the base is 24 meters
Musya8 [376]

Answer:

the length of the ramp is 25 meters

Step-by-step explanation:

Joe is making a ramp. Ramp forms a right angle triangle with the base

So we use Pythagorean theorem to find the length of the ramp

AC^2(hypotenuse) = AB^2 + BC^2

Length of ramp is the hypotenuse = \sqrt{height^2 + base^2}

=\sqrt{7^2 +24^2}

= \sqrt{49 + 576^2}

= \sqrt{625}

= 25

so the length of the ramp is 25 meters

8 0
3 years ago
The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Wat
Ugo [173]
<span>Amount of Rice (cups) Amount of Water (cups)
2                                     5
3                                     7.5
5                                   12.5
8                                   20

Let's find the ratio of rice and water:

5 / 2 = 2.5 => 2 * 5 = 5

7.5 / 3 = 2.5 => 3 * 2.5 = 7

12.5 / 5 = 2.5 => 5 * 2.5 = 12.5

20 / 8 = 2.5 => 8 * 2.5 = 20

So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.

So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).

The amount of rice is the dependent value. FALSE
The amount of water is the dependent value.TRUE
The amount of rice is the independent value. TRUE
The amount of water is the independent value.</span>FALSE
7 0
3 years ago
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pav-90 [236]

Answer:

418.4

Step-by-step explanation:

5 0
2 years ago
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What are the properties of pollelogram?​
AURORKA [14]

Answer:

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Step-by-step explanation:

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3 years ago
Organize the following polynomial expressions from least to greatest based on their degree:
Mumz [18]

Answer:

Step-by-step explanation:

We have to organize the given polynomials from the least to greatest based on their degrees.

A). x + 2xyz

Here xyz = x^{1}y^{1}z^{1}

Power of x is = 1

Power of y = 1

and power of z = 1

So degree of (x + xyz) will be degree of the highest degree term = 1 + 1 + 1 = 3

B). 9x³y²

Degree of this term = power of x + power of y = 3 + 2 = 5

C). 18x²+ 5ab - 6y

Degree of the polynomial = Highest degree of the variable x = 2

D). 4x^{4}+3x^{2}-x-4

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So sequence of the polynomials based on their degrees will be

C - A - D - B [From lowest to highest]

8 0
3 years ago
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