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Ghella [55]
3 years ago
8

Find the length of side x to the nearest tenth

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

Answer:

This is a 45 45 90 triangle, which means that the length of the shorter two sides multiplied by the square root of 2 is equal to the hypotenuse (longest side).

So x = 9\sqrt{2}

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Rewrite the expression without the negative exponent. 2x^−4
romanna [79]

Answer:

\frac{2}{x^4}


Step-by-step explanation:

The expression is 2x^{-4}

<u>We use the rule of exponents shown below to change the original to </u><u>"positive"</u><u> exponent form:</u>

<u>a^-b=\frac{1}{a^b}</u>


<em>Now we can change the original expression given into positive exponent:</em>

2x^{-4}\\=\frac{2}{x^4}

8 0
3 years ago
Read 2 more answers
Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

8 0
3 years ago
Can someone help me solve for b? 2(b + 3) = 12
Akimi4 [234]
2b+3=12
-3 -3
2b=9
B=4.5
7 0
3 years ago
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Frank rode his bicycle for 4 miles on Saturday. How many yards did he ride his bicycle?
denis23 [38]

Answer:

7,040 yards

Step-by-step explanation:

there are 1,760 yards in a mile, so 1,760 multiplied by 4 is 7,040

7 0
3 years ago
Determine the intercepts of the line.<br> 71 - 5 = 4y - 6
maw [93]

Answer:

y = 18

Step-by-step explanation:

71 - 5 = 4y - 6

66 = 4y - 6

72 = 4y

18 = y

P.S. I am not 100% sure if this is correct if it isn't I am greatly sorry

8 0
3 years ago
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