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2 years ago

Find the length of side x in simplest radical form with a rational a denominator.

Mathematics

1 answer:

geniusboy [140]2 years ago

5 0

Step-by-step explanation:

the answer is

$x = \sqrt{3}$

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Angle x and angle y are complementary. Angle x is supplementary to a 128 degrees angel. What are the measures of angle x and y

Irina18 [472]

Answer: x is 52 and y is 38.

Step-by-step explanation:

x+128=180

x=52

52+y=90

y=38

5 0

3 years ago

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0

3 years ago

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

sleet_krkn [62]

<span>Alright, here's your answer.

y-intercept is computed (not found) by assigning x = 0 and computing y: here that is f(0) = Log(2*0 + 1) – 1 = Log(1) – 1 = 0 – 1 = -1
y-intercept is (0, -1)

x-intercept is computed by solving f(x) = 0 for x: here that is
0 = Log(2x + 1) – 1 → 1 = Log(2x + 1)

Assuming the Log cited is base 10, then 10^1 = 10^Log(2x + 1) = 2x + 1

That’s 10 = 2x + 1

Therefore 9 = 2x
x = 9/2 = 4.5
Check this result in the original equation, I did!

Your answer is - x-intercept is (4.5, 0)

I hope I helped! :)

</span>

6 0

3 years ago

The variable Z is directly proportional to X. When X is 10, Z has the value 190.

irina [24]

Since z is proportion to the x
z = a x
190 = a 10
a = 19

when x = 13
z = a x
z = 19 * 13
z = 247

7 0

3 years ago

Daisy wants to make 12 clay animals to give away as Valentines gifts. Each animal she makes uses 1/2 of a stick of clay. How muc

Free_Kalibri [48]

Answer:
Daisy will need 6 sticks of clay

4 0

2 years ago

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