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2 years ago

Find the value of x 4 14 3 6

Mathematics

1 answer:

kakasveta [241]2 years ago

4 0

Answer:

x=4

Step-by-step explanation:

Angles 2 and 7 are alternate exterior angles which means they are congruent and have equal measures. This means you can write 3x+2=x+10 and solve for x.

3x+2=x+10

3x-x+2=x-x+10

2x+2=10

2x=8

x=4

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A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown.

Julli [10]

Check the picture below.

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2 years ago

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Convert 5 square root of a into exponential form?

stich3 [128]

Answer:

The answer is: " $5a^\frac{1}{2}$ " .

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Step-by-step explanation:

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We are asked to convert "5 square root of a" ; into "exponential form".

Note that "5 square root of a" ;

or; " 5 root a " ;

means: " 5 times the {square root of the variable, "a" };

or : " 5 multiplied by the {square root of the variable, "a" }.

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This can be written as: " $5\sqrt{a}$ " .

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Note the following property of exponents:

$\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n$ .

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So; to write: " √a " ; as an exponent :

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Note:

" $\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}$ " .

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So:

" $\sqrt{a} = a^\frac{1}{2}$ " ;

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And:

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" $5\sqrt{a} = 5a^\frac{1}{2}$ " .

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→ The answer is: " $5a^\frac{1}{2}$ " .

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Hope this helps!

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6 0

2 years ago

given a polynomial function f(x) = -x^2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have

hoa [83]

This shows that both functions have the same y-intercept

<h3>Polynomial and exponential functions</h3>

Given the following functions as shown:

f(x) = -x^2 + 2x + 1

g(x) = 2^x

The y-intercept occurs at x = 0

For f(x) = -x^2 + 2x + 1

f(0) = -0^2 + 2(0) + 1

f(0) = 1

For the g(x), the y intercept is caculated as:

g(0) = 2^0
g(0) = 1

This shows that both functions have the same y-intercept

Learn more on intercept here: brainly.com/question/1884491

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2 years ago

Please hurry I will mark you brainliest

LenaWriter [7]

Answer:

p = -2

Step-by-step explanation:

px + 2y + 8 = 0

px + 2y = -8

p(4) = -8

p = -2

8 0

2 years ago

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If sin⁡ θ>0 and tan⁡ θ<0, in which quadrant does the terminal side of θ lie?

AlladinOne [14]

Answer:

Quadrant IV

Step-by-step explanation:

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2 years ago