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Keith_Richards [23]
3 years ago
13

How do I find the value of WQ

Mathematics
1 answer:
Brut [27]3 years ago
4 0

Answer:

WQ = 2.67 to the nearest hundredth.

Step-by-step explanation:

The area of triangle PQX = 1/2 * PX * QX.

The area of the rectangle = 8 * YX .

But YX = 2 PX  so its area = 8 *2PX = 16*PX.

We are given that area of PQX is 1/6 of the area of  WXYZ, so we have the equation:-

16 PX = 6* 1/2*PX * QX

16 = 3QX

QX = 16/3  = 5.33

Finally WQ = WX - QX

= 8 - 5.33

= 2.67



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784,072 rounded to the nearest hundred thousand
Fittoniya [83]

When you round; you round down if the number in the selected column is below 5 and you round up if the number is 5 and above.  

Thus; if you apply this to your question:


784,072 then round up and you get 790,000

3 0
3 years ago
Exercise 3.5. For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ [x^2 − 25}.
masya89 [10]

a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

b. The inverse image of g(x) is g^{-1}(x) = e^{x}

c. The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

<h3 /><h3>The domain of T</h3>

Since T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

⇒ x ≥ ±5

⇒ -5 ≤ x ≤ 5.

<h3>Inverse image of f(x)</h3>

The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

f : R → R defined by f(x) = 3x³

Let f(x) = y.

So, y = 3x³

Dividing through by 3, we have

y/3 = x³

Taking cube root of both sides, we have

x = ∛(y/3)

Replacing y with x we have

y = ∛(x/3)

Replacing y with f⁻¹(x), we have

So,  the inverse image of f(x) is f⁻¹(x) = ∛(x/3)

<h3>Inverse image of g(x)</h3>

The inverse image of g(x) is g^{-1}(x) = e^{x}

g : R+ → R defined by g(x) = ln(x).

Let g(x) = y

y =  ln(x)

Taking exponents of both sides, we have

e^{y} = e^{lnx} \\e^{y} = x

Replacing x with y, we have

y = e^{x}

Replacing y with g⁻¹(x), we have

So, the inverse image of g(x) is g^{-1}(x) = e^{x}

<h3>Inverse image of h(x)</h3>

The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

h : R → R defined by h(x) = x − 9

Let y = h(x)

y = x - 9

Adding 9 to both sides, we have

y + 9 = x

Replacing x with y, we have

x + 9 = y

Replacing y with h⁻¹(x), we have

So, the inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

Learn more about inverse image of a function here:

brainly.com/question/9028678

5 0
2 years ago
6 yd<br> 4 yd<br> 7 yd<br> 4 yd<br> Perimeter:<br> Area:<br> Help me find the area and the permiter
morpeh [17]

Step-by-step explanation:

Assuming figure to be trapezoid,

Perimeter=6+4+7+4yd

=21 yd

Area of trapezoid=((6+7)/2) x ((4)^2-(0.5)^2)

=(13/2)x(16-0.25)

=6.5 x 15.75

=102.375 Sq yards

8 0
2 years ago
(a2 − 6) and (a2 + 4) are the factors of
sleet_krkn [62]
(a²-6)(a²-4) simplify

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Combine like terms

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8 0
3 years ago
PLS HELP!!!!!!!!!!!!!
fgiga [73]

Answer:

7+1- -7

Step-by-step explanation:

i just guessed :)

3 0
3 years ago
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