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Leya [2.2K]
3 years ago
15

Select the correct answer. Solve the following equation by completing the square.

Mathematics
1 answer:
vekshin13 years ago
5 0
I believe that the answer for this question is A
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WILL GIVE BRAINLIEST! <br>What is the answer for question (iv)? <br>please help! ​
Leviafan [203]

Step-by-step explanation:

\triangle ABC \sim \triangle ADE... (given) \\\\\therefore \frac {AC}{AE} = \frac {BC}{DE}.. (csst) \\\\\therefore \frac {5}{5+2x} = \frac {x+3}{4x+1}\\ \\ \therefore \: 5(4x + 1) = (5 + 2x)(x + 3) \\ \therefore \:20x + 5 = 5x + 15 + 2 {x}^{2}  + 6x \\ \therefore \:20x + 5 =2 {x}^{2} +  11x + 15 \\ \therefore \:2 {x}^{2} +  11x + 15 -2 0x  - 5 = 0\\  \therefore \:2 {x}^{2}  - 9x + 10 = 0\\ \therefore \:2 {x}^{2}  - 5x   -  4x+ 10 = 0\\ \therefore \:x(2x - 5) - 2(2x - 5) = 0 \\ \therefore \:(2x - 5)(x - 2) = 0 \\ 2x - 5 = 0  \:  \: or \:  \: x - 2 = 0 \\ x =  \frac{5}{2} \:  \:  or \:  \: x = 2 \\ x = 2.5 \:  \: or \: x = 2 \\ x = 2.5 \: is \: largest \\  \\  \frac{A(\triangle ABC)}{ A(\triangle ADE)} =  \frac{AC ^{2} } {AE^{2} } \\  \\ \frac{A(\triangle ABC)}{ A(\triangle ADE)} =  \frac{5 ^{2} } {(5 + 2x)^{2} } \\  =  \frac{25}{(5 + 2 \times 2.5)^{2} }  \\  =  \frac{25}{ {10}^{2} }  \\  =  \frac{25}{100}  \\  \\  \frac{A(\triangle ABC)}{ A(\triangle ADE)} =  \frac{1}{4}  \\

5 0
4 years ago
Use the table to identify the values of p and q that should be used to factor x^2+ 9x 10 as (x+ p)(x+q)
Dennis_Churaev [7]

The answer is (x + 10)(x - 1)

5 0
3 years ago
Read 2 more answers
What are the coordinates of the point on the directed line segment from (-10, -2) (10,−10) that partitions the segment into a ra
sveta [45]

Answer:

The answer to your question is (-5/2, -5)

Step-by-step explanation:

Data

A (-10, -2)

B (10, -10)

ratio 3/5

Formula

X = (x₁ + rx₂)/(1 + r)

Y = (y₁ + ry₂)/(1 + r)

Process

1.- Calculate X

x₁ = -10     x₂ = 10

X = (-10 + 3/5(10))/ (1 + 3/5)

X = (-10 + 30/5) / 8/5

X = -4/8/5

X = -5/2

2.- Calculate Y

y₁ = -2           y₂ = -10

Y = (-2 + (3/5)(-10))/(1 + 3/5)

Y = (-2 - 30/5) / 8/5

Y = -8/8/5

Y = -5

3.- The coordinates of the point are (-5/2, -5)

5 0
4 years ago
Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used
Fudgin [204]

Answer:

16.075 is the answer.

Step-by-step explanation:

16.075 is the answer. I hope this helps. You divide

64.3/7

=16.075

4 0
3 years ago
Read 2 more answers
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Mamont248 [21]
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT. </em></h2><h2><em> </em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT. </em></h2><h2><em> </em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1 </em></h2><h2><em> </em></h2><h2><em>Also, RT = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>Then, 3x - 1 = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>5x - 3x = 5 - 1 </em></h2><h2><em> </em></h2><h2><em>2x = 4 </em></h2><h2><em> </em></h2><h2><em>x = 4/2 = 2 </em></h2><h2><em> </em></h2><h2><u><em>X=2</em></u></h2>
7 0
3 years ago
Read 2 more answers
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