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Y_Kistochka [10]

3 years ago

10

Find the value of x in the triangle shown below. x = ___°

1 answer:

blagie [28]3 years ago

5 0

I think x= 70 rights

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One x-intercept for a parabola is at the point

Fudgin [204]

Answer:

(2,0) was already given so (-1,0) is the other one.

Step-by-step explanation:

So we are asked to use the quadratic formula.

To find the x-intercepts (if they exist) is use:

$\text{ If } y=ax^2+bx+c \text{ then the } x-\text{intercepts are } (\frac{-b \pm \sqrt{b^2-4ac}}{2a},0)$ .

Let's start:

Compare the following equations to determine the values for $a,b, \text{ and }c$ :

$y=ax^2+bx+c$

$y=4x^2-4x-8$

So

$a=4$

$b=-4$

$c=-8$

We are now ready to enter into our formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{4 \pm \sqrt{(-4)^2-4(4)(-8)}}{2(4)}$

$x=\frac{4 \pm \sqrt{16+16(8)}}{8}$

$x=\frac{4 \pm \sqrt{16(1+8)}}{8}$

$x=\frac{4 \pm \sqrt{16}\sqrt{1+8}}{8}$

$x=\frac{4 \pm 4\sqrt{9}}{8}$

$x=\frac{ 4 \pm 4(3)}{8}$

$x=\frac{4 \pm 12}{8}$

$x=\frac{4(1\pm 3)}{8}$

$x=\frac{1(1\pm 3)}{2}$

$x=\frac{1 \pm 3}{2}$

$x=\frac{1+3}{2} \text{ or } \frac{1-3}{2}$

$x=\frac{4}{2} \text{ or } \frac{-2}{2}$

$x=2 \text{ or } -1$

So the x-intercepts are (2,0) and (-1,0).

(2,0) was already given so (-1,0) is the other one.

7 0

3 years ago

There are 36 math books and 9 reading books. What is the ratio of the total number of books to the number of math books? Remembe

brilliants [131]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

so its 36+9 = 45

36/45=4/5

8 0

2 years ago

What is the probability you will roll a number less than 5 on a 6-sided die?<br> show your work

ankoles [38]

Answer:

2/3 chance

Step-by-step explanation:

You want to find numbers less than 5, so there are 4 numbers you can use. 4 out of 6 numbers possible is 4/6, or 2/3.

6 0

3 years ago

Trigonometry problem

iragen [17]

Answer: -3π/2

Step-by-step explanation:

The unit circle is tricky, but here are some things to know:

When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative.
The unit circle is typically measured in radians, not degrees

- To convert from radians to degrees, multiply by 180/π

- To convert from degrees to radians, multiply by π/180

The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.

-If the angle is negative, switch the signs of the axis above.

The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.

6 0

2 years ago

Write an explicit rule to represent the sequence:

alexgriva [62]

$a_n=4n+16$

6 0

2 years ago

Read 2 more answers