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Juli2301 [7.4K]
3 years ago
7

Find the value of x

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0

Answer:

<h2>          x = 15</h2>

Step-by-step explanation:

RQ < PR < PQ

TV < UV < UT

ΔPQR~ΔUTV   ⇒     \dfrac{RQ}{TV}=\dfrac{PR}{UV}

\dfrac{8}{x-3}=\dfrac{14}{x+6}\\\\8(x+6)=14(x-3)\\\\8x+48=14x-42\\\\48+42=14x-8x\\\\90=6x\\\\x=90:6=15

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C. Show that 1 1/2 ÷ 3/16 = ? <br> show all the steps of your working
Pani-rosa [81]

Answer: 8

Step-by-step explanation: (1 1/2) / (3/16) > (3/2) x (16/3) > (48/6) > 8

3 0
3 years ago
A certain coin is a circle with diameter 18mm. What is the exact area of either face of the coin?
MaRussiya [10]

Answer:

81pi mm^2

Step-by-step explanation:

The radius is 1/2 the diameter, and is used in finding the area of a circle.

The formula for this is

A = pi(r)^2

So the formula you would use is

A = pi (9)^2

= 81pi

Usually teachers accept it in terms of pi, but if not, you can use 3.14 and multiple it.

I hope this helped!

7 0
3 years ago
Read 2 more answers
What is the vertex form of 2x^2+12x+14
Finger [1]

Answer:

2 (x + 3)^2 - 2

Step-by-step explanation:

1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7

2. Subtract the 7 over. This gives you x^2 + 6x = -7

3. Take b (6), divide it by 2 (3), and square it (9). Then add that to both sides of the equation. This gives you x^2 + 6x + 9 = 2

4. Factor the left side of the equation. This gives you (x + 3)^2 = 2

5. Subtract the 2 over. This gives you (x + 3)^2 - 2

6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3)^2 -2

8 0
4 years ago
Which function represents this sequence? The explicit formula for a geometric = 21(r)n-1 function is an 1 n 2 3 4 5 3 an 6 12 24
Anestetic [448]

Peachy Orchard Developers are preparing land to create a large subdivision of single-family homes.  They have already built 15 houses on the site.  Peachy Orchard plans to build six new homes every month.  Write a sequence for the number of houses built, then write an equation for the sequence.  Fully describe a graph of this sequence.  The sequence is 21, 27, 33, 39, ....  Note that sequences usually begin with the first term, where the number of months n =1.  

5 0
3 years ago
What is the solution(s) to f(x) = g(x), where f(x) = x^2−2 and g(x) = 5x − 8
babymother [125]

If f(x)=g(x), than x²-2=5x-8

Now we need to solve this equation

x^2-2=5x-8\\x^2-5x+6=0\\D=b^2-4ac=(-5)^2-4\times6=25-24=1=\sqrt{1} ^2\\x_1=\dfrac{5+1}{2}=3\\ x_2=\dfrac{5-1}{2} =2

Answer: 2, 3

5 0
4 years ago
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