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Burka [1]
3 years ago
11

Can someone help and explain for me please

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
The answer is (4,0).
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The equation of a parabola is 18(y−5)2=x+3 . What are the coordinates of the focus? (−3, 7) (−5, 5) (−1, 5) (−3, 3)
aleksandrvk [35]
18(y-5)^2=x+3

do the algebra to make it into =x form

x=18y^2-180y+447

then you take the form of the focus, you can do the math

(-215/72, 5)
6 0
3 years ago
A new Neighborhood Activity Complex is being built-in
Anestetic [448]

Step-by-step explanation:

L = 2W - 8

P = 230 yd

P = 2×(L+W)

230 = 2× (2W - 8 + W)

230 = 2× (3W-8)

230 = 6W-16

6W= 230+16

6W = 246

W = 246/6

W = 41

L = 2(41) -8

= 82-8

= 74

so, the dimensions of the playing field:

the length = 74 yd

the length = 74 ydthe wide = 41 yd

7 0
3 years ago
Write an exponential function for graph that passes through the following points (-3,80);(-1,20)
padilas [110]

Answer:

y

=

4

(

1

2

)

x

Explanation:

An exponential function is in the general form

y

=

a

(

b

)

x

We know the points

(

−

1

,

8

)

and

(

1

,

2

)

, so the following are true:

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

Multiply both sides of the first equation by

b

to find that

8

b

=

a

Plug this into the second equation and solve for

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

)

x

7 0
3 years ago
The expression (X + 3)(x + 2) is the product of two binomials. Which expression is also a product of binomials?
kow [346]

Answer:

B

Step-by-step explanation:

Binomials are expressions containing the sum (or difference) of two terms.

A. is not the answer because pq and qp are <u>products</u>.

C. is not the answer because 3x is not a sum/difference.

D. is not the answer because it is one binomial, not two muliplied together.

6 0
3 years ago
Which number line shows the solution to −6 − (−2)? A number line is shown from negative 10 to 0 to positive 10. There are increm
VARVARA [1.3K]

Answer:

The correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

Consider the provided expression.

−6 − (−2)

Open the parentheses and change the sign.

−6 − (−2)

−6 + 2

Subtract the numbers.

−4

Now draw this on number line.

First draw a number line is shown from −10 to 0 to 10. with scale of 2 unit on either side of the number line. Draw an arrow pointing from 0 to −6 Which show −6. Above this, another arrow pointing from −6 to −4 which shows −6 − (−2) = −4. A vertical bar is shown at the tip of the arrowhead of the top arrow.

The required number line is shown in the figure 1.

Hence, the correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

4 0
3 years ago
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