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Mazyrski [523]
2 years ago
5

Look at the graph of x2 - 4x + 4. What is the vertex?

Mathematics
1 answer:
lara31 [8.8K]2 years ago
6 0

Answer:

The formula for the vertex of the parabola is -b/a. Plugging this in we get         -(-4)/1 or 4.

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7. Identify the period for the trigonometric function: f (t) = 3cot(t).
grigory [225]

Answer:

π

Step-by-step explanation:

recall that for a cotangent function

f(x) = cot (bx) + k

the period is simply π / | b |

in our case b = 1, hence | b | = 1

therefore the period is simply π / 1 = π

6 0
3 years ago
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What is the value of n?<br> A.81<br> B.85<br> C.38<br> D.47
Liula [17]

Answer:

B

Step-by-step explanation:

∠ABC= 180° -142° (adj. ∠s on a str. line)

∠ABC= 38°

∠BAC= 180° -133° (adj. ∠s on a str. line)

∠BAC= 47°

∠ACB= 180° -38° -47° (∠ sum of △)

∠ACB= 95°

n°= 180° -95° (adj. ∠s on a str. line)

n°= 85°

n= 85

6 0
3 years ago
Someone help me with this<br> Find the 10th term of the sequence -63, -93, -123
Katarina [22]

Answer:

-333

Step-by-step explanation:

It seems like it is going down by -30 each term.

6 0
3 years ago
A<br> Write the equation for<br> line that<br> passes through (1, 1) and (-1,7)
KengaRu [80]

Answer:y=-3x+4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,1) and (-1,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

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, (1,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=1.

Also, let's call the second point you gave, (-1,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=7.

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

m=

7 - 1

-1 - 1

or...

m=

6

-2

or...

m=-3

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=-3x+b

Now, what about b, the y-intercept?

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

(1,1). When x of the line is 1, y of the line must be 1.

(-1,7). When x of the line is -1, y of the line must be 7.

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

Now, look at our line's equation so far: y=-3x+b. b is what we want, the -3 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 (1,1) and (-1,7).

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:

(1,1). y=mx+b or 1=-3 × 1+b, or solving for b: b=1-(-3)(1). b=4.

(-1,7). y=mx+b or 7=-3 × -1+b, or solving for b: b=7-(-3)(-1). b=4.

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

The equation of the line that passes through the points

(1,1) and (-1,7)

is

y=-3x+4

8 0
3 years ago
What does 18x12x1000 equal to?
Lapatulllka [165]
18(12)=216
Because 1000 has 3 zeros, add 3 zeros after 216. Answer is 216,000
5 0
2 years ago
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