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3 years ago

∠a = 5x – 5º. ∠ b = 3x + 13º. Solve the x then find the measure of ∠ b.

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer: X= 4 and angle B = 26

Step-by-step explanation: 5x-5=3x+13

Subtract 3x and add 5 to both sides. Divide both sides by 2.

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Answer:

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Step-by-step explanation:

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Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

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1 year ago

Rita collected 3/4 of a pound of candy on Halloween, and her brother collected 1/8 of a pound. How much candy did they have toge

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The answer is 15/8 because it just is you know the vibes

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3 years ago

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If f(x)=x^3-4x^2-25x+28f(x)=x 3 −4x 2 −25x+28 and x-7x−7 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebra

faust18 [17]

9514 1404 393

Answer:

x = {7, 1, -4}

Step-by-step explanation:

Dividing the given factor from the polynomial using synthetic division, we get ...

f(x) = (x -7)(x^2 +3x -4)

Factoring the quadratic* gives ...

f(x) = (x -7)(x -1)(x +4)

The zeros are the values of x that make these factors be zero:

x = {7, 1, -4}

_____

* The constants in the binomial factors are factors of -4 that have a sum of +3. Those are (-1)(4) = -4. -1+4 = 3.

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3 years ago