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dlinn [17]
2 years ago
12

What are the zeros for y = x squared - 4

Mathematics
1 answer:
Ludmilka [50]2 years ago
3 0

Answer:

zeros are ±2

Step-by-step explanation:

y = x² - 4

this can be factored into (x+2)(x-2)

if you then set each factor equal to zero you will get zeros of ±2

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At the county fair, the Baxter family bought 6 hot dogs and 4 juice drinks for $14.70. The Farley family bought 3 hot dogs and 4
photoshop1234 [79]

Answer:

A hot dog would cost 1.75 and the juice would cost 1.05

Step-by-step explanation:

In order to find this, set x as the number of hot dogs and y as the number of juice drinks. This allows us to set up the following equations for each situation.

6x + 4y = 14.70

3x + 4y = 9.45

Now we can mutliply the second equation by -2 to get the x values to cancel out.

6x + 4y = 14.70

-6x - 8y = -18.90

------------------------

-4y = -4.20

y = 1.05

Now that we have this, we can plug it into either equation to find the cost of a hot dog.

3x + 4y = 9.45

3x + 4(1.05) = 9.45

3x + 4.20 = 9.45

3x = 5.25

x = 1.75

6 0
3 years ago
What is the equation of a line perpendicularto y=-2/5x-1 that passes through(2,-8)​
Andrews [41]
<h2>Answer: y =  ⁵/₂ x - 13   OR  y + 8 =  ⁵/₂ x - 5 </h2>

<h3>Step-by-step explanation:</h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.

⇒  if the slope of this line = - ²/₅

      then the slope of the perpendicular line (m) = ⁵/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - (-8) =  ⁵/₂ (x - 2)

                                   ∴  y + 8 = ⁵/₂ (x - 2)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

                                    y =  ⁵/₂ x - 13

7 0
2 years ago
What is the surface area of a cylinder with a radius of seven and the height is 28 both in inches?
lara31 [8.8K]
I am not really sure about this answer, but it is 4308.08in
Hope this helps!
3 0
3 years ago
State the slope and y-intercept of each line.<br><br> Y= 5/3 x-4<br><br> Y=-4/7 x+3<br><br> Y=-5
Juli2301 [7.4K]
1)slope=5/3 y-intercept=-4
2)slope=4/7 y-intercept=3
3)slope=undefined y-intercept=-5
8 0
3 years ago
The statement "cot theta= 12/5, sec theta = -13/5, and the terminal point determined by theta in quadrant 4"
lora16 [44]
If cot θ = 12/5, then tan θ = 5/12.
If sec θ = -13/5, then cos θ = -5/13

For tan θ to be positive while cos θ is negative, the quadrant is 3.
The figure below shows θ graphed as a reference angle in quadrant 3.

Answer:
The statement that θ is in quadrant 4 is FALSE.

5 0
3 years ago
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