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klio [65]
3 years ago
7

Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 2 to show that shape

2 is congruent to shape 1?
a 45° rotation clockwise about the origin

a translation 6 units to the left and 8 units up

a reflection across the x-axis

a translation 3 units to the left and 6 units up

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
8 0
I hope this helps you



vazorg [7]3 years ago
6 0
According to given information, <span>a translation 6 units to the left and 8 units up for shape 2 would show that it is congruent to shape 1.

So, option B is your answer.

Hope this helps!
</span>
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Choose the equation and the slope of the line that passes trough (5,-3) and is parallel to the x-axis
lesya [120]

Answer:

y = -3

Step-by-step explanation:

Parallel to the x axis means that it is a horizontal line

It is of the form y =

Given the point ( 5, -3)

The y value is -3

y = -3

3 0
3 years ago
Mary loves eating fruits.Mary paid $7.98 for each of 2 berries and $ 5.99 for 3 peaches with 2 $20 dollars.How much change did M
kupik [55]

Answer:

6.07

Step-by-step explanation:

We know that Mary has two twenty dollar bills, equaling to forty dollars in total.

So lets start on the first few things she buys, the berries, each costing 7.98 dollars and cents, since she only bought two, that means we need to multiply 7.98 by 2

==> 15.96 dollars and cents

Now we can take it out of forty.

    $ 40.00

-    $ 15.96

-------------------

    $24.04

Now we only have 24.04 dollars and cents.

Now for the next few items, the peaches which costs 5.99 each, then since he only bought 3, we multiply 5.99 three times.

==> 17.97 dollars and cents

Now we can take it out of 24.04.

     $24.04

-     $ 17.97

--------------------

      $6.07

Mary has 6 dollars and 7 cents in change.

5 0
3 years ago
What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below? x+y (less than or equal to) 5 x-y (gr
valentina_108 [34]

Answer:

Step-by-step explanation:

We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.

Obviously, when we sub in (0, 0). we get that P(x, y) = 0.

When we sub in (0, 1) we get 24(0) + 30(1) = 30.

When we sub in (2, 3) we get 24(2) + 30(3) = 138.

When we sub in (5, 0) we get 24(5) + 30(0) = 120.

Obviously, the vertex of (2, 3) maximized our function for a value of 138.

6 0
3 years ago
Find the TWO integers whos product is -12 and whose sum is 1<br>​
julsineya [31]

Answer:

\rm Numbers = 4 \ and \ -3.

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}

Hence the numbers are 4 and -3

5 0
3 years ago
What are the values of x in the equation 4x2 + 4x - 3 = 0?
9966 [12]

Answer:

x=  0.5

or x=  -1.5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2+4x−3=0

Step 1: Factor left side of equation.

(2x−1)(2x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or 2x+3=0

x= 1/2 or x= −3/2

5 0
3 years ago
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