4)<br> Express in simplest form:

the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?

FinnZ [79.3K]

ANSWER

The other zero is

$x = - 10$

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.

We were given that the axis of symmetry of the quadratic equation is
$x = - 3$

We were also given that, one of the zeroes of the quadratic equation is
$x = 4$

Let the other zero of the quadratic equation be
$x = p$

,then, we apply the midpoint formula to find the value of
$p$

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

$\frac{x_1 + x_2}{2} = axis \: of \: symmetry$

We substitute to obtain,

$\frac{p + 4}{2} = - 3$

We multiply through by 2 to get,

$p + 4 = - 6$

This implies that,

$p = - 6 - 4$

$p = - 10$

3 0

3 years ago

Read 2 more answers

Help please need answer ASAP

GenaCL600 [577]

Answer:

60

Step-by-step explanation:

45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.

Hope this helps :D

7 0

3 years ago

What is the equation of line a

iren [92.7K]

Step-by-step explanation:

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.

5 0

2 years ago

Find the measure of each arc.

Gemiola [76]

9514 1404 393

Answer:

GX = 122°
XU = 148°
UG = 90°

Step-by-step explanation:

Each arc has the same measure as its central angle. The sum of all of them is 360°.

angle UOG is marked as a 90° angle, so arc UG is 90°.

angle GOX is marked as 122°, so arc GX is 122°.

angle XOU fills out the rest of 360°, so its measure is 360° -90° -122° = 148°. That means are XU is 148°.

The arc measures are ...

GX = 122°
XU = 148°
UG = 90°

7 0

3 years ago

About 3/5th of the registered voters participated in 2016 election. California has 25 million registered voters. Find the number

natka813 [3]

Given:

About 3/5th of the registered voters participated in 2016 election.

California has 25 million registered voters.

To find:

The number of registered voters who participated in 2016 election.

Solution:

We have,

Total number of registered voters = 25 million

According to the question,

$\text{Registered voters who participated}=\dfrac{3}{5}\times \text{Total number of registered voters}$

Now,

$\text{Registered voters who participated}=\dfrac{3}{5}\times 25$

$\text{Registered voters who participated}=3\times 5$

$\text{Registered voters who participated}=15$

Therefore, there are 15 millions of registered voters who participated in 2016 election.

6 0

3 years ago

4) Express in simplest form: