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Ronch [10]
3 years ago
14

Given PQR ~ STR, find QT

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0
30/36=38/(36+X)
X=9.6
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How to do part a & b
nata0808 [166]
You can do part a using The Pythagoras theorem:-

30^2 = x^2 + 24^2

x^2 = 30^2 - 14^2 = (30+24)(30-24) =  324

x =  18
7 0
3 years ago
Read 2 more answers
Write f(x)=8x^2-4x+11 in vertex form
Vlad [161]

Answer:

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}

or

f(x)=8(x-0.25)^{2}+10.5

Step-by-step explanation:

we have

f(x)=8x^{2}-4x+11

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

f(x)=8(x^{2}-\frac{1}{2}x)+11

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}

Rewrite as perfect squares

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2} ----> equation in vertex form

or

f(x)=8(x-0.25)^{2}+10.5

The vertex is the point  (0.25,10.5)

3 0
3 years ago
You spent $10 on office supplies out of a $25 budget.What percent of your budget did you spend?
lana66690 [7]
You spent 40% of your budget. 

10/25=2/5=40/100
6 0
2 years ago
For the function F(x) = 1/x+2, which of these could be a value of F(x) when xis
hram777 [196]

Answer:

B 2

Step-by-step explanation:

The computation of the value of f(x) in the case when x = 2 is shown below

As per the question, following function is given

F(x) = (1 ÷ x) + 2

Based on this, the x = 2

Now put the x value in the above equation

So,

= (1 ÷ 2) + 2

= (1 + 4) ÷ 2

= 5 ÷ 2

= 2.5

Hence the closet number is 2

Therefore the value of f(x) in the case when x = 2 is 2

Hence, the correct option is b.

5 0
3 years ago
Read 2 more answers
Create a numeric vector called age whose elements contain the ages of three people you know, where the names of each element cor
erik [133]

Answer:

age<-c(20,30,40)

names(age)<-c ("ELI", "ALI", "JON")age

## ELI ALI JON

## 20 30 40

Step-by-step explanation:

The above given vector named age consists of three elements. Each element consists of ages of three people, ELI, ALI and JON, such that 20 corresponds to ELI, 30 to ALI and 40 to JON.

8 0
2 years ago
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