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zavuch27 [327]
2 years ago
14

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

Mathematics
1 answer:
Leviafan [203]2 years ago
3 0
To find the x-intercept just set the stuff in the parentheses equal to 0

X+6=0
X=-6
(-6,0)

X-3=0
X=3
(3,0)
You might be interested in
A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wan
lilavasa [31]

Answer: x+y=45\\\\1000 x + 500y = $2500

Step-by-step explanation:

Let x =  Number of employees taking technology training

y= Number of employees taking customer service training

Given, The technology training costs $1,000 per person. The customer service training costs $500 per person.

Total cost = 1000 x + 500y

Since, Total cost = $25,000 and total employee to attend training= 45 .

That means , the required equations are:

x+y=45\\\\1000 x + 500y = $2500

5 0
2 years ago
A 16.0-inch chord is drawn in a circle whose radius is 10.0 inches. what is the angular size of the minor arc of this chord? wha
statuscvo [17]
PART I
Angular size of the minor arc . 
Half of the chord an the radius makes a right angled triangle with the radius as the hypotenuse and half of the chord as one of the shorter side.
Therefore, using trigonometric ratio, sine = opp/hyp
                          sine θ = 8/10  where θ is half the minor angle
                                  θ  = 53.13
Therefore, the angular size of the minor arc will be 53.13 × 2  = 106.26°

PART II
The length of an arc is given by (θ/360 )× 2πr
where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.
Therefore, length = (106.26/360) × 3.142 × 2×10
                            = 18.548 Inches
                                   
8 0
2 years ago
one angle of a linear pair is 10 more than two thirds the other angle. find the measure if both angles
BigorU [14]

Answer:

One Angle = 110°

Other Angle = 70°

Step-by-step explanation:

A linear pair means that two angles are in a straight line (or, a straight angle).

A straight line is 180 degrees.

THey are supplementary.

We can say one angle is "a" and another one is "b".

<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>

<em>a=\frac{2}{3}b+10</em>

<em />

<em>Also, since they are supplementary (add up to 180), we can write:</em>

<em>a + b = 180</em>

<em />

We can now substitute 1st equation in this one and find b:

a+b=180\\(\frac{2}{3}b+10)+b=180\\\frac{2}{3}b+b=180-10\\\frac{5}{3}b=170\\b=\frac{170}{\frac{5}{3}}\\b=170*\frac{3}{5}\\b=110

Since a + b = 180, we can write:

a + 110 = 180

so,

a = 180 - 110

a = 70

Thus,

One Angle = 110°

Other Angle = 70°

8 0
2 years ago
The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S
lana [24]

Answer:

Part A) h=V/(\pi r^{2})

Part B) h=4\ cm

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

V=\pi r^{2}h

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})

Simplify

V/(\pi r^{2})=h

Rewrite

h=V/(\pi r^{2})

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

V=36\pi\ cm^3

r=3\ cm

substitute in the formula and solve for h

h=36\pi/(\pi 3^{2})

h=4\ cm

8 0
2 years ago
The coordinates of the points below represent the vertices of a rectangle.
andrey2020 [161]

Answer:

18 units

Step-by-step explanation:

5+5=10

4+4=8

8+10=18 units

5 0
2 years ago
Read 2 more answers
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