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Vanyuwa [196]
2 years ago
7

Reflect (-1, 4) over the x-axis.

Mathematics
1 answer:
Eva8 [605]2 years ago
6 0

Answer:

(- 1, - 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

(- 1, 4 ) → (- 1, - 4 )

a translation of 3 units up means adding 3 to the y- coordinate , so

(- 1, - 4 ) → (- 1, - 4 + 3 ) → (- 1, - 1 )

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If x=9 and y=−3, evaluate the following expression:20−5y+2x
pentagon [3]

Answer:

53

Step-by-step explanation:

20-5y+2x

20-5(-3)+2(9)

20--15+18

cancel out the negative signs

20+15+18

=53

4 0
3 years ago
Read 2 more answers
When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e =  -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


7 0
3 years ago
What is the common ratio for the geometric sequence? 32, 8, 2, 12, ... Enter your answer in the box.
mamaluj [8]

Answer:

Given sequence is not a geometric progression and there will be no common ration for this sequence.

Step-by-step explanation:

Need to determine common ration for the following geometric sequence

32, 8, 2, 12, ...

In given geometric sequence  

a1 = 32, a2=8, a3=2, a4=12 ……….

Common ratio = \frac{a_2}{a_1} =\frac{a_3}{a_2} =\frac{a_4}{a_3}

\frac{a_2}{a_1}=\frac{8}{32}=\frac{1}{4}

\frac{a_3}{a_2} =\frac{2}{8}=\frac{1}{4}

\frac{a_4}{a_3}=\frac{12}{2}=6

Since \frac{a_2}{a_1}=\frac{a_3}{a_2}\neq\frac{a_4}{a_3}  so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.

3 0
3 years ago
Please Tell me what the answer
Helga [31]
OK for number 3is 70because you add the number that they give you and then subtract 36 106 and you get your answer


3 0
3 years ago
Explain what it means for a scatter plot to have a positive relationship
Salsk061 [2.6K]
The dots on the scatter plot are all going up
4 0
3 years ago
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