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2 years ago

(3) Find the value of x.

Mathematics

1 answer:

jek_recluse [69]2 years ago

3 0

Answer:

x=4

Step-by-step explanation:

since triangles are proportional by 2:1, then:

16/2=3x-4

8=3x-4

3x=12

x=4

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What are the exact solutions of x^2 − 3x − 7 = 0?

bulgar [2K]

Given:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

6 0

2 years ago

Tell whether x and y show direct variation. x + y = 6

Over [174]

<h3>Answer: Not direct variation</h3>

The reason why is because it can't be written in the form y = kx

If we solved the given equation for y, we get y = -x+6. It has a y intercept of 6, but it should be zero if we wanted a direct variation equation.

5 0

2 years ago

15- -10 x -20 divided by (12 + -8) What is the answer?

kobusy [5.1K]

Answer:

10x - 5 / 4

Step-by-step explanation:

15 - ( -10x ) - 20 / ( 12 + ( -8 ) )

= ( -5 ) + 10x / ( 4 )

= 10x - 5 / 4

Hope it helps

:D

3 0

2 years ago

2x-y-3z=7, 3x+y+=10, 5x+y+2z=15

rosijanka [135]

Y 50 I think it is I am not to sure

7 0

2 years ago

Read 2 more answers

A box of jerseys for a pick-up game of basketball contains 9 extra-large jerseys, 6 large jerseys, and 5 medium jerseys. If you

aleksley [76]

Answer:

1/114 or 0.008772

Step-by-step explanation:

I am not very sure, my answer seems unlikely, but here's what I think:

There are 20 jerseys in the box to begin with, and 5 medium jerseys that you can have.

Therefore, the probability of you randomly grabbing a medium sized jersey is 5/20 or 1/4.

After taking out one medium sized jersey, there are 19 jerseys in the box and 4 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 4/19.

After taking out another medium sized jersey, there are 18 jerseys left in the box and 3 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 3/18.

To get the answer, you do 1/4 * 4/19 * 3/18, and get 1/114, or 0.00877192982.

If you round that to the nearest millionth, it's 0.008772

Don't judge me, it might not be correct.

4 0

2 years ago