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3 years ago

Help please :) Whoever helps and gets answer correct gets Brainliest!

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

5 0

Answer:

slope = 8

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{1}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 26) and (x₂, y₂ ) = (2, 34) ← 2 ordered pairs from the table

m = $\frac{34-26}{2-1}$ = $\frac{8}{1}$ = 8

Keith_Richards [23]3 years ago

4 0

Answer:

1/8 is the slope

Step-by-step explanation:

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What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)

mina [271]

Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5

8 0

3 years ago

Sales Tax - You go to the store and purchase a shirt for $33.99, how much will you pay

Savatey [412]

Answer:

$95.17

Step-by-step explanation:

$33.99 \times 0.0825$

$= 2.80$

$33.99 + 2.80$

$= $95.17$

7 0

3 years ago

Find the value of x in the triangle shown below: 2.5 6.5 Choose 1 answer: I =6 3 = V48.5 x = 9 x = V9

Andreyy89

Answer:

<u>x = 6 units</u>

Step-by-step explanation:

We know that, By pythagoras theorem,

Hypotenuse2 = base2 + perpendicular2

Given, Hypotenuse = 6.5

perpendicular = 2.5

base = x

So, by putting the values,

6.52 = 2.52 + x2

42.25 = 6.25 + x2

36 = x2

Hence, <u>x = 6 units</u>

4 0

1 year ago

How can i solve by completing the square 4r^2-28r=-49

Natalija [7]

To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.

$4r^2 - 28r = -49$

$\dfrac{4r^2}{4} - \dfrac{28}{4}r = -\dfrac{49}{4}$

$r^2 - 7r = -\dfrac{49}{4}$

Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.

$r^2 - 7r + \dfrac{49}{4} = -\dfrac{49}{4} + \dfrac{49}{4}$

$(r - \dfrac{7}{2})^2 = 0$

$r - \dfrac{7}{2} = 0$

$r = \dfrac{7}{2}$

3 0

4 years ago

Help with this question, please!!

Marta_Voda [28]

Answer:

1662.768 --) rounded 1662.8

3 0

3 years ago