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const2013 [10]
3 years ago
11

What is the value of x?

Mathematics
2 answers:
VMariaS [17]3 years ago
8 0

Answer:

8

Step-by-step explanation:

You have to set up a proportion for this!

Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!

If you solve the proportion for x:

\frac{x}{40} =\frac{7}{35}

x = 8

Lana71 [14]3 years ago
6 0
D: The value of x is 8
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Which zero pair could be added to the function f(x)=x^2+12x+6 so that the function can be written in vertex form?
andrew11 [14]
<span>f(x) = x</span>² <span>+ 12x + 6  </span>→ y = x² + 12x + 6<span>

Let us convert the standard form into vertex form.

1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side. 

y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30  ← Vertex form
<span>
To check:

y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>

The zero that could be added to the given function is 36, -36</span>
4 0
3 years ago
Please help me solve this question
Anastasy [175]

Answer:

50

Step-by-step explanation:

Use pythagoreom theorem to determine the length of the hypotenuse:

a² + b² = c²

- assign side a to 30 and side b to 40

30² + 40² = c²

90 + 160 = c²

250 = c²

Now square root both sides to isolate side c:

√250 = √c²

50 = c

side c = 50

7 0
3 years ago
Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou
storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?  

We have the following compound interest formula

P' = P*(1+\dfrac{r}{n})^{nt}

P' = 35000*(1+\frac{0,04}{4})^{4*5}

P' = 35000*(1+0,01)^{20}

P' = 35000*(1,01)^{20}

P' = 35000*(1.22019003995...)

P' \approx 42,706.66

So the new principal P' after 5 years is approximately $42,706.66.  

Subtracting the original principal from this amount gives the amount of interest received:

P' - P = I

42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark

________________________

I Hope this helps, greetings ... Dexteright02! =)

4 0
3 years ago
A square number and a multiple of 3 have a total of 90 what r the 2 numbers
Alecsey [184]

Hello,

Let's x² the square number

and 3*y the multiple of 3.

x^2+3y=90\\\\\boxed{y=-\dfrac{1}{3} x^2+30}\\\\

2 solutions : for (x,y) as integers : (-6,18) and (6,18)

but one solution for (x²,3y) as integers :<u> (36,54) </u>

7 0
3 years ago
I need help on this and its to hard to make me understand this work
Yuri [45]
40℅ is bigger because 1/5 as a percent is 20℅
5 0
3 years ago
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