All categories

2 years ago

1. Triangle STU with vertices S(-4, 2) T(5, -1),

Mathematics

1 answer:

Alexus [3.1K]2 years ago

4 0

Answer:

S’ (-5,-3)

T’ (4,-6)

U’ (-3,-7)

Step-by-step explanation:

Basically, we want to apply the given transformation rule of the axes to get the coordinates of the images

The rule is that we subtract 1 from the x-coordinates and also subtract 5 from the y-coordinates

Thus, we proceed as follows;

S’ = (-4-1, 2-5) = (-5,-3)

T’ = (5-1, -1-5) = (4,-6)

U’ = (-2-1,-2-5) = (-3,-7)

You might be interested in

Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each

Furkat [3]

Answer: V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

8 0

3 years ago

The probability that a high school student in in the marching band is 0.47. The probability that a student plays a varsity sport

IrinaK [193]

The probability that a high school student in in the marching band is 0.47

so, $P(M)=0.47$

The probability that a student plays a varsity sport is 0.32

so, $P(V)=0.32$

the probability that a student is in the marching band and plays a varsity sport is 0.24

so, we get

P(M∩V)=0.24

a student plays a varsity sport if we know she is in the marching band

so,

P(V|M)=(P(V∩M))/(P(M))

now, we can plug values

and we get

$P(V|M)=\frac{0.24}{0.47}$

$P(V|M)=0.51063$

So,

the probability that a student plays a varsity sport if we know she is in the marching band is 0.51063......Answer

8 0

3 years ago

Read 2 more answers

X+4 divided by x^2+16<br><br> Why can't it be simplified?

KonstantinChe [14]

Let's try to simplify x^2 + 16. It's a sum of two squares:

x^2 + 16 = 0

x^2 = -16

The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.

Remember that square roots have a plus or minus symbol outside:

±√-16 = ±4i

Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:

(x + 4i)(x - 4i)

If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.

8 0

3 years ago

Two things:

Eduardwww [97]

Number one is -6 and 10
Number two is -55 and 4

5 0

3 years ago

Ella's grandmother sewed her a change purse. When she gifted it to her, Ella counted 23 coins already in it. Ella noticed there

juin [17]

The answer to this problem is 17dimes

5 0

3 years ago

Read 2 more answers