PLS HELP WILL MARK BRAINLIEST, PLS HURRY

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

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Answer:

I took the quiz.

Step-by-step explanation:

To calculate the relative vector of B we have to:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

The coordenates of:

[tex]p(t)= 12t^3-8t^2-12t+7[/tex], with respect to B satisfy:

[tex]C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3[/tex]

Equating coefficients of like powers of t produces the system of equation:

[tex]\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.[/tex]

After solving this system, we have to:

[tex]C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}[/tex]

And the result is:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

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Answer:400

Step-by-step explanation:

10%= 200

x2=400

Answer:

d)

Step-by-step explanation:

the sites of the boat alone is 16 km/h.

downstream and upstream the effective speed is then influenced plus and minus by the current.

the distance traveled is 15km.

as speed = distance/time

then distance / speed = distance / (distance/time) = time

and we know the time it takes : 5.5 hours.

so, only answer d uses the right values in the "right places".

Answer:

y=2x+1

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 2. So you can right away fill in the equation for a line somewhat to read:

y=2x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,3). When x of the line is 1, y of the line must be 3.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,3).

So, why not plug in for x the number 1 and for y the number 3? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1.

The equation of the line that passes through the point (1,3) with a slope of 2

is

y=2x+1

Answer:

x times (x+1).

If it's wrong, then I'm an idiot.

Step-by-step explanation:

Answer:

11.8

Step-by-step explanation:

brainlest

Answer:

9 routes

Step-by-step explanation:

every time you make a route, you can make a symmetrical route on the other side.

Answer:

9

Step-by-step explanation:

Answer:

There is a area of triangle and there is two trapezium so 8×17=136

Answer:

Step-by-step explanation:

1/8 x 5/6 as a fraction in simplest form

1/8 * 5/6 =

5/48

The fraction in simplest form is 5/48.

Given that are two fractions 1/8 and 5/6, we need to find the product of the fractions,

To multiply fractions, we multiply the numerators together and the denominators together.

In this case, we have 1/8 multiplied by 5/6.

1/8 x 5/6 = (1 x 5) / (8 x 6)

Multiplying the numerators (1 x 5) gives us 5, and multiplying the denominators (8 x 6) gives us 48.

Therefore, 1/8 x 5/6 simplifies to 5/48.

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Step-by-step explanation:

Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=

Answer:

N = -44

Step-by-step explanation:

have a great day! :)

Answer:

n=44

Step-by-step explanation:

n/4=11/1

crossmultiply

n=4×11=44

The number is 3947

It should be noted that 36 hundreds will be equal to:

= 36 × 100

= 3600

It should be noted that 34 tens will be:

= 34 × 10

= 340

7 ones will be:

= 7 × 1

= 7.

Therefore, the sum will be:

= 3600 + 340 + 7 = 3947

Answer:

3947

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope- intercept form:

The line given:

This includes the slope, which is:

Answer:

the answer is 3

Step-by-step explanation:

5 x - 3 + x + 9 =24

6X + 6 = 24

6X =18

×=3

Answer:

21

Step-by-step explanation:

5 + 16 = 21

Answer:

21

Step-by-step explanation:

hope it helps

Answer:

8.28

Step-by-step explanation:

this is the answer because

.08*6= .48

.3*6= 1.8

1*6=6

.48+1.8 = 2.28

6+2.28=8.28

Answer:

The answer should be A.

Step-by-step explanation:

I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)

Answer:

C

Step-by-step explanation:

When

f(x+3) would indicate a Shift 3 units to the left

f(x-3) indicates a Shift 3 units to the right

y+3=f(x) indicates a Shift 3 units up

y-3=f(x) indicates a Shift 3 units down

Because the graph is shifted 3 units up, it would be y+3=f(x), which is option C

Answer:

Step-by-step explanation:

(-8 - 2)/(-6 - 6)= -10/-12= 5/6

y - 2 = 5/6(x - 6)

y - 2 = 5/6x - 5

y = 5/6x - 3

Answer:

Are the triangles similar?

1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate

2) SAS Postulate

3) congruent by ASA Postulate

4) SSS Postulate

5) congruent by AAS Postulate

6) SAS Postulate

Isosceles and Equilateral Triangles

1)  by isosceles something triangle theorem

if two angles of opposite sides are congruent the sides opposite of those are congruent.

4x-12=20

x=8

2) Triangle Sum Theorem - all angles add up to 180.

with Isosceles triangle theorem.

x= 70 degrees

y= 40 degrees

3)  2x-14 = x+17 ( I think )

x=34

4) The picture is cut out.

Step-by-step explanation:

Answer: the tenths place

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given monthly income of Ron is $3,142.23

Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = 0.055/12

time period = 40 years = 480 months

Principal amount = $314.223

Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]

Substitute, we get,

= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P = (A.i/2)/(1-(1+i/12)⁻ⁿ)

Putting values, we get,

P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.

So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

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Answer:

See below for answer

Step-by-step explanation:

Domain is the x-value in the ordered pair    

Range is the y- value in the ordered pair

1.  D = {3, 2, 1, 0}      R = {-5, -4, -3, -2}

2.  D = {-2, 0, 2, 4}   R = {1, 2, 4, 6}

3.  D = {10, 8, 6, 4}   R = {-1, 2, 5, 8}

4.  D = {-5, -3, -1, 1}   R = {-5, -3, -1, 1}

5.  D = {-4, -1, 2, 3}   R = {4, 0, 4, 6}

Answer:

4.00

Step-by-step explanation:

because it is rounding to the whole number

Answer

if 3.50 refers to ounces, it would round to 4.

Step-by-step explanation: