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Rzqust [24]
3 years ago
12

If the length of FH is 18 units, what is the value of x?

Mathematics
2 answers:
valentinak56 [21]3 years ago
5 0
Well if FG is 4x and GH is 2x the you add them to get 6x for FH. Solve for x so 6x=18 which means x=3. Hope this helps
Shkiper50 [21]3 years ago
5 0

we know that

FH=FG+GH

In this problem we have

FH=18\ units\\FG=4x\\GH=2x

substitute in the formula above

18=4x+2x

solve for x

6x=18

x=18/6

x=3\ units

therefore

<u>the answer is</u>

The value of x is 3\ units


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If 4^(x+2) = 48 what is 4^x
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Answer:

3

Step-by-step explanation:

4^{(x+2)} = 48  \\  \\  {4}^{x} . {4}^{2}  = 16.3 \\  \\  {4}^{x} . \cancel {16}  = \cancel {16} .3 \\  \\  {4}^{x}  = 3

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3 years ago
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Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not repre
Ber [7]

Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

= 173873.7

For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

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The candy of a lolipop is in the shape of a sphere with a diameter of 4 cm. The
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2 years ago
Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
3 years ago
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