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2 years ago

4x^2-16x-5 can be written in vertex form f(x)=a(x-h)^2+k. What are the values of a,h, and k.

Mathematics

1 answer:

Hunter-Best [27]2 years ago

5 0

Answer:

h=2

a=4

k= -21

Step-by-step explanation:

your h and k are vertex . h= x coordinate of vertex and k= y

so formula for vertex coordinates is x= -b/2a and y= (4ac-b²)/4a

your a b c are 4 -16 and -5 respectively according to the main equation

your a is concavity which is the same number as the 'a' of the equation

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Find the slope of the line that contains the points (-9, -3) and (-19, -3).

NNADVOKAT [17]

Answer:

Slope (m) = 0

Step-by-step explanation:

We will use this formula to find the slope⤵⤵⤵

$\frac{y _{2} - y _{1} }{x _{2} - x _{1} }$

(Sorry if it's a bit small btw)

Now we plug in the values accordingly:

-3 - (-3) = -3 + 3 = 0

-19 - (-9) = -19 + 9 = -10

Slope = 0/-10

So we have 0/-10, which means our slope is actually just 0.

(This also means that the line on the graph will be horizontal.)

Hope this helps you :)

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2 years ago

16. A can in the shape of a cylinder has a diameter of 6 centimeters

sladkih [1.3K]

Answer:

surface area = 245.04 cm² (nearest tenth)

Step-by-step explanation:

Surface area of a closed cylinder = $2\pi r^2+2\pi rh$

Given:

diameter = 6 cm ⇒ radius = 3 cm
height = 10 cm

⇒ surface area = 2 × $\pi$ × 3² + 2 × $\pi$ × 3 × 10

= 78 $\pi$

= 245.04 cm² (nearest tenth)

8 0

2 years ago

What types of activities would you incorporate into your marathon training and why

Luda [366]

Running so you can build up both endurance and stamina. It’ll keep you in shape so you can last longer in a marathon. Constant conditioning will do the trick.

3 0

3 years ago

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1/2x=5/4 solve the equation and inequalities

aivan3 [116]

The equation is simplified to x = 3/2

<h3>What are linear equations?</h3>

Linear equations are equations with the highest power of a variable as 1

Given the equation;

1/ 2x = 5/ 4

cross multiply

4 × x = 2 × 5

4x = 10

Make 'x' the subject

x = 10/ 4

Reduce to simplest term

x = 3/ 2

Thus, the equation is simplified to x = 3/2

Learn more about linear equations here:

brainly.com/question/14323743

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1 year ago

The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.

nadezda [96]

Answer:

$1. x^2-10$ because the area expression can be rewritten as $(x^2-10)(x^2+10)$ which equals $(x^2-10)((x^2-10)+20).$

Step-by-step explanation:

Area of the rectangle $=(x^4-100)$

$x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)$

Since the length of a rectangle is 20 units more than its width.

$Width: x^2-10\\Length=x^2+10=x^2-10+20$

The correct option is therefore 1.

4 0

3 years ago

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