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Rainbow [258]
2 years ago
8

I need help with Algebra 2. Thank you! :)

Mathematics
1 answer:
andre [41]2 years ago
7 0

Answer:

B: 6.0

Step-by-step explanation:

-3t^2+9t+54 = 0

This is the equation that needs to be solved

Divide both sides by -3

t^2 - 3t - 18 = 0

The factors of 18 are: (1 18) (2 9) (3 6)

3 - 6 = -3 and 3 x -6 = -18

So: (t + 3) (t - 6) = 0

t = -3, 6

It can't be negative so the answer is 6

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PLEASE I NEED URGENT HELP
kari74 [83]

Answer:

D

Step-by-step explanation:

the exterior angle ACD = m< 1+ m <2 = 56+54 = 110

6 0
3 years ago
Read 2 more answers
PLEASE HELP with proving lines parallel
den301095 [7]
90 mins later we had to go to sleep for sub for two other people that were not
4 0
3 years ago
A line passes through (-8,3) and (-6,4).What is the equation of the line?
Komok [63]

Answer: The equation of the line that passes through the points

(-8,3) and (-6,4)

is

y=1/2x+7

Step-by-step explanation: First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-8,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-8 and y1=3.

Also, let's call the second point you gave, (-6,4), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-6 and y2=4.

Now, just plug the numbers into the formula for m above, like this:

m=  

4 - 3

-6 - -8

or...

m=  

1

2

or...

m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-8,3). When x of the line is -8, y of the line must be 3.

(-6,4). When x of the line is -6, y of the line must be 4.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-8,3) and (-6,4).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-8,3). y=mx+b or 3=1/2 × -8+b, or solving for b: b=3-(1/2)(-8). b=7.

(-6,4). y=mx+b or 4=1/2 × -6+b, or solving for b: b=4-(1/2)(-6). b=7.

See! In both cases we got the same value for b. And this completes our problem.

7 0
3 years ago
PLEASE HELP!!!!! WILL GIVE BRAILIEST!!!
scoundrel [369]
SinB = 8/16
sinB = 0.5
m<B = 30
answer is A. 30
6 0
3 years ago
find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6
yKpoI14uk [10]

Answer:

y = 2x - 6

Step-by-step explanation:

Given

Equation: y = 2x - 6

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of y = 2x - 6

The general form of an equation is y = mx + b

Where m represents the slope;

Hence; m =2

Since the equation and the point are parallel. then they have the same slope (m).

m = 2

Next, is to determine the equation of the point, using the following formula:

m = \frac{y - y_1}{x - x_1}

Where

(x_1,y_1) = (5,4)

So, the equation becomes

2 = \frac{y - 4}{x - 5}

Cross Multiply

y - 4 = 2(x - 5)

Open Bracket

y - 4 = 2x - 10

Make y the subject of formula

y = 2x - 10 + 4

y = 2x - 6

Hence, the equation is y = 2x - 6

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3 years ago
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