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2 years ago

Which is the equation of the parabola?

Mathematics

1 answer:

Umnica [9.8K]2 years ago

4 0

Answer: $y=-\dfrac{1}{8}(x - 2)^2 - 3$

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

The vertex form of a parabola is: y = a(x - h)² + k where

(h, k) is the vertex
$a=\dfrac{1}{4p}$

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

$p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}$

Insert those values into the vertex formula to get:

$y=-\dfrac{1}{8}(x - 2)^2 - 3$

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What do you need to add 13/4 to make 4

Fudgin [204]

Add 3/4 which becomes 16/4 which becomes 4

3 0

2 years ago

Another One I need help withhhh sorrry

Effectus [21]

Answer:

y = 2x+3

Step-by-step explanation:

Sorry I'm probably too late since Quizziz doesn't wait unless you have the freeze timer thing.

y = mx+b

b is the y intercept. The y intercept (when x=0) is given in the table.

Now plug a coordinate in to solve for m.

My coordinates: (1,5)

5 = m + 3

Solve.

2 = m

m = 2

Note: never plug in the y intercept when looking for m.

You can also find the slope by (subtracting the y value of one coordinate from another y value of another coordinate)/(subtracting x value from the first y coordinate above from the x value from the second coordinate).

In this case, it'd be

m = (7-5)/(2-1)

m = 2/1

m = 2

6 0

2 years ago

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to <em>1</em>.

6 0

3 years ago

How many groups of 100 can you take out of 941 when diving by 3?

Semenov [28]

Answer:

300 times

Step-by-step explanation:

when you divide 941 by 3, you have to divide it into the hundreds place first.

3 fits into 900 (it's the hundreds place) 300 times

to check:

3 * 300 = 900

3 0

2 years ago

PLEEEEEEEEEEASSEEEEEEE ANSWER QUESTION IS DOWN BELOW WORTH 15 POINTS each

Svetllana [295]

A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

Given that the scale factor is 3:14. Therefore, the ratios can be written as,

(a) The ratio of the surface area of the model to the surface area of the original is,

Surface area Ratio = (3/14)² = 9/196

(b) The ratio of the volume of the model to the volume of the original.

Volume Ratio = (3/14)³ = 27/2744

Width Ratio = 3/14

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

3 0

1 year ago