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Natalija [7]
2 years ago
13

What is the answer to this?

Mathematics
2 answers:
emmainna [20.7K]2 years ago
8 0
<h3>Explanation:</h3>

<u>We know that:</u>

  • The y-intercept of an equation is the constant.
  • Constants are the <u>numerals</u> in the equation.

<u>Finding the y-intercept.</u>

In the equation provided, we can see only one <u>constant.</u>

  • => y = 1x² + 7x - 5

Thus, the y-intercept is -5.

zepelin [54]2 years ago
4 0

To find the y-intercept substitute x as 0

y = 1 \times  {0}^{2}  + 7 \times 0 - 5

y = 1 \times 0 + 0 - 5

y = 0 + 0 - 5

y =  - 5

  • <em>Thus, The y-intercept is -5...~</em>
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fgiga [73]

Answer: honestly for the first one, i think the answer would be 2.

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Step-by-step explanation:

6 0
3 years ago
HELP. How long is the minor axis for the ellipse shown below?
kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

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                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0
2 years ago
PL has endpoints P(4, −6) and L(−2, 1). The segment is translated using the mapping (x, y) → (x 5, y). What are the coordinates
cestrela7 [59]

The coordinates of P' is (9, -6) and L' is (3, -1).

<h2>Given that</h2>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

<h3>We have to determine</h3>

What are the coordinates of P’ and L’?

<h3>According to the question</h3>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

The coordinates of point P after translation using mapping is,

\rm P(x, \ y) - P'(x+5, y)\\&#10;\\&#10;P(4, -6) - P'(4+5, \ -6)\\&#10;\\&#10;P(4, -6) - P'(9, -6)\\

And the coordinates of point L after translation using mapping is,

\rm L(x, \ y) - L'(x+5, y)\\\\L(-2, 1) - L'(-2+5, \ -1)\\\\L(4, -6) - L'(3, -1)\\

Hence, The coordinates of P' is (9, -6) and L' is (3, -1).

To know more about Translation click the link given below.

brainly.com/question/26298109

8 0
2 years ago
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kykrilka [37]

Answer:

-2x² + 15

Step-by-step explanation:

Step 1: Add like terms

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Step 2: Rewrite

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6 0
3 years ago
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Ksivusya [100]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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