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3 years ago

HELPPPPPPP!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

nignag [31]3 years ago

6 0

Answer:

I think its D but I'm not positive

Komok [63]3 years ago

3 0

I think it may be D but I’m not sure

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Please help I don’t get it

n200080 [17]

Answer:

I got you!! If the speed limit is 60 mph, and shes driving 15 mph over the limit, its 75. 60 + 15=75!

Step-by-step explanation:

4 0

3 years ago

Identify the standard form of the equation by completing the square.

OLEGan [10]

Answer:

$\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Step-by-step explanation:

Given equation:

$4x^2-9y^2-8x+36y-68=0$

This is an equation for a horizontal hyperbola.

To complete the square for a hyperbola

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

$\implies 4x^2-8x-9y^2+36y=68$

Factor out the coefficient of the x² term and the y² term.

$\implies 4(x^2-2x)-9(y^2-4y)=68$

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

$\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2$

$\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36$

Factor the two perfect trinomials on the left side:

$\implies 4(x-1)^2-9(y-2)^2=36$

Divide both sides by the number of the right side so the right side equals 1:

$\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}$

Simplify:

$\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Therefore, this is the standard equation for a horizontal hyperbola with:

center = (1, 2)
vertices = (-2, 2) and (4, 2)
co-vertices = (1, 0) and (1, 4)
$\textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}$
$\textsf{Foci}: \quad (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)$

4 0

2 years ago

4a - 5b + 6ab - 8b – 3a =

andreyandreev [35.5K]

Write the thing spaced out:

4a -5b +6ab -8b -3a
The signs (+,-) are assigned to the numbers it is in front of.

We minus the "like" terms:
4a - 3a = 1a
-5b - 8b = -13b
+6ab = +6ab

Put them all together:
1a - 13b + 6ab

The answer for, "4a - 5b + 6ab - 8b - 3a" = "1a - 13b + 6ab"

7 0

4 years ago

What's 23 divided by 186

egoroff_w [7]

0.123655913978495
Hope this helps :))

3 0

4 years ago

Which set of ordered pairs represent a function

lara31 [8.8K]

Answer:

A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.

Step-by-step explanation:

6 0

3 years ago