Find an equation for the conic that satisfies the given conditions. parabola, focus (2, −1), vertex (2, 5)

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

\(= 2 \frac{1}{9} \\ \)

Step-by-step explanation:

\(4 \frac{7}{9} - 2 \frac{2}{3} \\ \frac{43}{9} - \frac{8}{3} \\ \frac{43 - 24}{9} \\ = \frac{19}{9} \\ = 2 \frac{1}{9} \)

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9514 1404 393

Answer:

  y = 8

Step-by-step explanation:

It can be useful to write down the values of corresponding parts of the figures. This can help you see the ratio between corresponding measures. Here, we're concerned with sides.

  AB = ?, FE= 6

  BC = 10, EC = 5 . . . . . a ratio of 2:1

  CD = ?, CG = ?

  DA = y, GF = 4

So, the proportionality of the sides in these similar figures means ...

  y/4 = 10/5

  y = 4×10/5

  y = 8 . . . . multiply by 4

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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36=6+6+6+6+6+6=6X6

36=4+4+4+4+4+4+4+4+4=4X9

36=18+18=18X2

37=18,5+18,5=18,5X2

37=9,25+9,25+9,25=9,25X4

38=19+19=19X2

38=9,5+9,5+9,5+9,5=9,5X4

Answer and Step-by-step explanation:

Just flip the triangle upside down, to make it look more sense.

   (Angle) 17

    |\

x   |  \ 47

    |__\

We will use the sine trig function to solve for x.

sin(17) = \(\frac{x}{47}\)

Multiply by 47 to both sides.

47(sin(17)) = x

Now input into a calculator and solve.

x = 13.74147012

x ≈ 13.7 is the answer.

Answer:

answer C

Step-by-step explanation:

because the plan view of a solid 3-D figure is the view from the top which would be 3 squares in a row which is exactly what is shown in answer C.

Answer:

D

Step-by-step explanation:

D is the answer because every part of the cube is formed from 2 horizontal cubes

Answer:

Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,

                             b / sin B = a / sin A

Substituting,

                             b / sin 85.3° = 44 / sin 48°

The value of b from the equation is approximately equal to 59.01.

Answer:

35

Step-by-step explanation:

is correct for ape x

Answer: As much wood as a woodchuck could chuck, If a woodchuck could chuck wood.

Step-by-step explanation: As much wood as a woodchuck could chuck, If a woodchuck could chuck wood.

Answer:

wood, that's how much a wood chuck can chuck

Answer:

D.Z

u see how they have line in between as well, shows that they are going by 5 so 2.0 and then 2.5

and if it was asking for -2.5 which is negative two point five, you would choose A.U

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

Answer:

36

OR

12

?

Step-by-step explanation:

Area of Triangle:   \(\frac{3*4}{2} = 6\)

Volume:   6*6 = 36

Pyramid part confuses me.

volume of a pyramid:   \(\frac{1}{3}*B*H\) = \(\frac{1}{3}*6*6\) = 12

B = triangle area

H = height

9514 1404 393

Answer:

  neither

Step-by-step explanation:

The x-values have a common difference of 1. The y-values have first differences of 10, 20, 30. The second differences are constant at 10, indicating a quadratic relation.

The relation is neither exponential nor linear.

_____

y = 5x^2 -145x +1060

Answer:

a) 1 minute and 12 seconds

b) .833 repeating

c) 25 minutes and 12 seconds

Step-by-step explanation:

A and B are simple so for C:

21 laps = 5 * 4 = 20, 6 * 4 = 24, 20 + 1 = 21, 24 + 1 minute and 12 seconds = 25 minutes and 12 seconds

12 * 5 = 60

If I messed up tell me I keep confusing myself.

Answer:

-9 - 6n is the answer

Steps to solve:

-3(3 + 2n)

~Distribute

-9 - 6n

Best of Luck!

Answer:

2/3 * 660

Step-by-step explanation:

If we convert 65% to a decimal, we get 0.65.

First, it will helpful to find exactly what is 65% of 668:  

0.65 * 668 = 434.2 and thus 65% of 668 is exactly 434.2.

Similarly, if you convert 2/3 to a decimal, you get 0.66 repeating.

2/3 * 660 = 440 which is only 10.2 units larger than 434.2.  Thus, 2/3 * 660 is the most accurate estimate of 65% of 668.

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

The comparison of the connection here between variable and its value is a compound inequality. In a compound inequality, a variable is compared across two ranges which may provide the variable's range by satisfying either one or both of the limitations .

The given absolute value inequalities :

|(x+1)/2 - x/2| < 1/2

Removing the modulus sign will for 2 equations:

(x+1)/2 - x/2 < 1/2  and  (x+1)/2 - x/2 < - 1/2

Simplifying each:

(x+1)/2 - x/2 < 1/2  

x/2 + 1/2 - x/2 < 1/2

Both values will get cancelled:

0 < 0

But 0 = 0

and  (x+1)/2 - x/2 > - 1/2

x/2 + 1/2 - x/2 > -1/2

0 > -1 (correct)

here also the terms are getting completely cancelled to

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

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Complete question:

Find the set of the solutions of the following absolute value inequalities.

|(x+1)/2 - x/2| < 1/2

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer: 5/6

Step-by-step explanation:

Answer:

6 divided by 8 is 3/4 (.78)

2/3 divided by 8 is 1/12 (0.083)

6 2/3 divided by 8 is 5/6 (0.83)

Answer:

A) y = 3x -2 is the answer

Step-by-step explanation:

The y-intercept is -2

The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.

Hope this helps and pls do mark me brainliest:)

Answer:

2055.15

Step-by-step explanation:

A(1+r)^n=4000

A is the money that she need to invest

r is rate

n is the time( depend on monthly or yearly rate)

A(1+4.25%)^16=4000

A=2055.15

Answer:

For the raging river you multiply

X * 9 = Y

And for paddlers the equation is

X + 40 = Y

Answer:

1/3 or .75 pounds of strawberries

Answer:

No pounds

Step-by-step explanation:

you need three (3.00) dollars to get a pound and you only have one (1.00)

Answer:

not sure if I understand the question but a=3,b=0,c=1

Step-by-step explanation:

-2+2(1)-3(-1)=3

-2+1-(-1)=0

2(-2)+2(1)-3(-1)=1

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Answer:

y=−3x-5

Step-by-step explanation:

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y

y=−3x−5y