Ann got 6.25 gallons of gas at $3.12 per gallon. how much did she pay

Having a hard time understanding these transformations. Thank you!

Oksanka [162]

Answer:

1). For < 4 Coordinates will be A"( -2,2),B"(1,-1),C"(-3,-2).

For 1 > Coordinates will be A"(3,2), B"(6,-1), C(2,-2).

2). A"(-2,2), B"(-1,-2), C"(-5,-1).

Step-by-step explanation:

1) In this part of the question we have to find the new coordinates of the triangle when there is a shift of 4 in left means the new coordinates will be A"( 2-4,2),B"(5-4,-1),C"(1-4,-2) Or A"( -2,2),B"(1,-1),C"(-3,-2).

And when shifted by 1 in right direction A,B,C will be A",B",C" that are A"( 2+1,2),B"(5+1,-1),C"(1+1,-2) Or A"(3,2), B"(6,-1), C(2,-2).

2) Now we have to get the reflection of points A(2,2), B(5,-1), C(1,-2) across Y axis.

When A reflects about Y axis it will reflect in Second quadrant. So new coordinates will be A"(-2,2).

Similarly B and C will reflect in third quadrant. So new coordinates will be B"(-1,-2) & C"(-5,-1).

8 0

3 years ago

How is 1/x + 2 - 4/2x +1 equivalent to - 2x + 7 / (x + 2)(2x + 1)

DanielleElmas [232]

We have,

$\frac{1}{x + 2} - \frac{4}{2x + 1} \\$

Since the denominator isn't same we cannot directly perform any arithmetic operation on the terms, in order to be able to do that we must make the denominator same,

It's like the way we have,
$\frac{2}{3} + \frac{4}{9} \\$

You know you cannot just add the terms and write the answer as,
$\frac{8}{12} \\$
It completely wrong.

each of the terms have different values when when added doesn't gives 8/12.

Let me prove that to you by converting them into decimal values,

so
$\frac{2}{3} = 0.67 \\ \\ and \\ \\ \frac{4}{9} = 0.43$
Adding these two gives, 1.1

and
The result we had earlier equates to,
$\frac{8}{12} = \frac{4}{3} = 1.33 \\$

You see the results are not equal.

So there must be something wrong.

And the wrong this here was not making the denominators equal,
To do that you basically multiply 2/3 with a 3/3 which may look stange at first but it does gives you same denominator as 4/9 in the form of 6/9.

Now you can add the numerators up and leave the denominator as it is which will give 10/9 = 1.1

Back to you question to show that the terms sperated by = are equal we must show one is identical to another.

Let's do this using the Right hand side,

$\frac{( - 2x + 7)}{(x + 2)(2x + 1)} \\ \\ = \frac{(2x + 1) -4 (x + 2)}{(x + 2)(2x + 1)} \\ \\ = \frac{(2x + 1)}{(x + 2)(2x + 1)} - \frac{4(x + 2)}{(x + 2)(2x + 1)} \\ \\ \frac{1}{x + 2} - \frac{4}{2x + 1}$

Now this value is clearly equal to the the one on the left hand side of "=" .

3 0

3 years ago

Graph for PQR with vertices

DIA [1.3K]

The new image would be (-3,6)-P
(0,5)-Q (2,2)-R

You should just be able to graph the original image by counting from the 0,0. If you need anymore help, lemme know

6 0

4 years ago

HELP PLSSSS !! The following sequence is an arithmetic sequence. You are not shown very many terms of this sequence, but you are

lara31 [8.8K]

The answer is B. 12
The arithmetic sequence is +5

8 0

3 years ago

Read 2 more answers

A bakery sells chocolate cupcakes and mocha cupcakes. It sold 400 cupcakes in a day, and 68% of them were mocha. How many of the

nalin [4]

Answer:

128 chocolate cupcakes