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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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When factoring 16x2 -
rewona [7]

Answer:

we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

Step-by-step explanation:

16x^2\:-36

As 4 is the greatest common factor of the expression, so factor out common term 4:

i.e.

16x^2\:-36=4\left(4x^2-9\right)

Thus, the first step is to find the greatest common factor (GCF)

Now, solving the remaining portion

16x^2\:-36=4\left(4x^2-9\right)

as (2x+3) and (2x-3) are the factors of (4x²-9)

i.e. (4x²-9) = (2x+3) (2x-3)

Thus, the expression becomes

16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)

Therefore, we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

8 0
3 years ago
Which of the following best describes DG?
Stells [14]

Answer:

I think answer is B Altitude

3 0
3 years ago
Read 2 more answers
If Tan A=5/12 then find cot A, cos A and Sin A
Ostrovityanka [42]

Cot A=1/tan A=12/5

cos A= 12/13

sin A=5/13

Draw a right angled triangle

the hypotenuse is the longest side which is 13 using Pythagoras theorem

the side opposite the angle A is 5

the side closest to the angle A which is called the adjacent is 12

sinA =opp/hyp

cos A= adj/hyp

cotA =1/tanA=cos A/sinA

Note: Pythagoras theorem is

hyp²=opp²+adj²

7 0
3 years ago
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Pls help me!!! I will make you brainiest :)!!!!!<br><br> What would the equation of the line be?
Feliz [49]

Answer:

The equation would be y=4x+1

This is because b is the y intercept and would cross the graph at +1

6 0
3 years ago
Write the ratio of the first measurement to the second measurement. Compare in inches 4 feet to 60 inches
Lunna [17]

Answer:

4:5

Step-by-step explanation:

Recall that 12 inches =1 foot

Therefore 4 feet = 12*4=48 inches

\frac{4ft}{60 \: inch}  =  \frac{48 \: inches}{60 \: inches}  =  \frac{4 \times 12}{5 \times 12}  =  \frac{4}{5}

The ratio of 4 feet to 60 inches is 4:5

This ratio is in the reduced form, we cannot simplify further.

7 0
4 years ago
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