The graph below represents the parabolic path of a ball kicked by a young child. What are the vertex and the axis of symmetry for the parabola?
1) vertex: (3,8); axis of symmetry: x = 3
2) vertex: (3,8); axis of symmetry: y = 3
3) vertex: (8,3); axis of symmetry: x = 3
4) vertex: (8,3); axis of symmetry: y = 3

Answer:

m∠GFT = 142°

Step-by-step explanation:

∠GFT and ∠DFT are supplementary.

m∠GFT + m∠DFT = 180

7f + 163 + 6f + 56 = 180

13f + 219 = 180

13f = -39

f = -3

m∠GFT = 7f + 163 = 7(-3) + 163 = -21 + 163 = 142

Answer:

0

Step-by-step explanation:

Given equations is

x+2y=8,5x+10y=c

The equations a

1

x+b

1

y=c

1

and a

2

x+b

2

y=c

2

will have uique solutions if

a

2

a

1



=

b

2

b

1



=

c

2

c

1

but from equations,

a

2

a

1

=

5

1

,

b

2

b

1

=

10

2

,

c

2

c

1

=

c

8

∴

a

2

a

1

=

b

2

b

1

The given equations does not have unique solution, so the given statement is false, The correct answer is 0

Answer:

8

Step-by-step explanation:

[tex] \color{plum}\bold{(C)} [/tex] Diameter of circle P is the same length as the radius of circle Q.

Given :

Diameter of circle P = 26 cm

Radius of circle P :

[tex] =\tt \frac{diameter}{2} [/tex]

[tex] = \tt \frac{26}{2} [/tex]

[tex]\color{plum} = \tt13 \: cm[/tex]

Thus, radius of circle P = 13 cm

Diameter of circle Q = 52 cm

Radius of circle Q :

[tex] = \tt \frac{diameter}{2} [/tex]

[tex] =\tt \frac{52}{2} [/tex]

[tex] \color{plum}= \tt26 \: cm[/tex]

Thus, radius of circle Q = 26 cm

Radius of circle R = 52 cm

Diameter of circle R :

[tex] =\tt radius \times 2[/tex]

[tex] =\tt 52 \times 2[/tex]

[tex]\color{plum} = \tt104 \: cm[/tex]

Thus, the diameter of circle R = 104 cm

☆ Conclusion :

▪︎Diameter of circle P is the same length as the radius of circle Q.

Therefore, the correct option is (C) Diameter of circle P is the same length as the radius of circle Q.

Answer:

I got the answer 20y^5/x^8

Step-by-step explanation:

Answer:

500/(7+3)=50; 3*50=150, 7*50=350. 150:350=3:7

Step-by-step explanation:

o Ayan sinolve kayan geh pa follow po

220 is divided in the ratio 3:8 as 60 and 160 respectively.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The given ratio is 3:8 and the number is 220.

Here, 3+8=11

Now, 3/11 ×220

= 3×20

= 60

8/11 ×220

= 8×20

= 160

Therefore, 220 is divided in the ratio 3:8 as 60 and 160 respectively.

To learn more about the ratio visit:

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Answer:

The answer is 1

Step-by-step explanation:

Answer: 3x+6=9

3x=3

x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

To solve this, we must first isolate the variable 'x':

3x + 6 = 9

      -6   -6

3x = 9 - 6

Combine like terms

3x = 3

Isolate 'x' fully

3x = 3

/3    /3

x = 1

Hope this helps :)

Answer:

3x, 2x + 5, and x - 3

Step-by-step explanation:

Since the given figure is a 3-dimensional shape, we know that there must be three zeroes.

Our equation is:

6x³ - 3x² - 45x

First, we can factor out an x:

x (6x² - 3x - 45)

From here, we can see that by factoring out a 3:

3x (2x² - x - 15)

Now, after completing the square and factoring:

3x (2x + 5) (x - 3)

These are our three expressions.

Answer:

The two supplementary angles are 10 and 170 degrees.

Step-by-step explanation:

Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 160 degrees more than the other. We can construct the following equation. x + ( x + 160 ) = 180 x

represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180    2 x = 20 x = 10

Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160 degrees larger than the other one.

10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.

Answer:

Hola losiento no se ablar inglés

Answer: Choice B)  2x-60 = 180

===========================================================

Explanation:

A bit of the question got cut off. I'm assuming the full question reads "In this diagram, the measure of angle RQS is 60 degrees less than the measure of angle PQS"

The portion underlined is the part cut off where I'm making the assumption. If that assumption is correct, then we have

Those two adjacent angles form a straight line of 180 degrees

(anglePQS) + (angleRQS) = 180

(x) + (x-60) = 180

2x-60 = 180

which points to choice B as the answer.

Answer:

Step-by-step explanation:

∠RQS = x - 60°

∠RQS = 180° - x

x - 60° = 180° - x

2x - 60° = 180°

Answer:

98

Step-by-step explanation:

It would be the same amount because when the lines are parallel, the corresponding angles will also be the same.  

We can tell the difference between the two types of angles (Supplementary and complementary) 98 and 82 would be the two types of angles.

So, the angle measure would be 98.

Answer:

x = 3, y = 1

Step-by-step explanation:

By substitution since y = -2x + 7, substitute that for the 2nd y so

-2x +7 = 3x - 8, so x = 3, then substitute the 3 in any of the equations, so y = -2(3) + 7 is equal to 1

If you use elimination you can subtract the two equations from each other to get rid of the y so

y = -2x + 7

-y = -3x + 8

so 0 = -5x + 15, 5x = 15, x=3

Answer:

$67.4

Step-by-step explanation:

Answer:

$101.1

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

Answer:

-3(4q-7)=

4q+3-7

4q-4

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

To learn more about the volume visit:

https://brainly.com/question/13338592.

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Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

-2+(-8+9)

= -2+(1)

= -2+1

= -1

Answer:

13.5 ounces

Step-by-step explanation:

Answer:  28 boys and 16 girls

Step-by-step explanation: Divide 44 by 2 to get 22 subtract 22 by 6 to get the girls and add 6 to 22 to get the boys.

Answer:

44% of the students of a class are girls. If the number of girls is 6 less than the number of boys, how many students are there in the class?

let x be the number of boys, so (x - 6) will be number of girls.

total number of students will be boys plus girls : x + (x - 6) = 2x - 6

now 44% are girls which come from formula no. of girls divide by total students into 100: (x - 6)/(2x-6)*100 = 44

by solving we get x = 28 (where x is number of boys)

now x - 6 = 28–6 = 22 (number of girls)

add both we get total number of students = 28 + 22 = 50

Answer = 50

Step-by-step explanation:

This is not the answer this is a example!

Answer:

y = 6

Step-by-step explanation:

line of an equation: y = mx +c

where c is y-intercept, m is gradient and y and x are the y and x coordinates.

For finding the line of an equation we first find a gradient

gradient = (y2 -y1) / (x2 - x1)

so; (6-6) / (7-(-5)) = 0/12 = 0

next using any pair of coordinates we will find the c (y-intercept)

6= 0 (-5) + c

c = 6

so the equation will be

y = mx + c

(add the values you just found)

y = (0)x + 6 (since anything multiplied by 0 is 0 so we can write its like;)

y = 6

Answer:

15,750 meters

Step-by-step explanation:

There are 1000 meters in a kilometer

.75 of a kilometer is 750 meters

There are 7 days in a week, 7x3 is 21.

750 x 21 = 15,750

Answer:

15750meters

Step-by-step explanation:

3 weeks=3x7

=21days

1day=0.75km

21days=21x 0.75

=15.75km

1km=1000m

15.75km=(1575/100 x 1000)m

=15750meters

Step-by-step explanation:

the sum of the angles = 360

8x+2 + 2x + 14 + 3x -4 +5x + 5 = 360

18x +17 = 360

18x = 343

x = 19.1

angles are:

154.8

52.2 smallest (2x + 14)

53.3

105.5

Answer:

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: [tex]x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}[/tex].

Let be [tex]r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}[/tex] and [tex]r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}[/tex] roots of the quadratic function. By Algebra we know that:

[tex]y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}[/tex] (1)

Then, the quadratic polynomial is:

[tex]y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}[/tex]

[tex]y = 81\cdot x^{2}-36\cdot x -19[/tex]

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

y = 4/7x - 3

hope this helps

Answer:4/7-3

Step-by-step explanation:

Yep

Answer:

hukiiiiibcgczxjwisisisigyjgffguhhhijhf

Step-by-step explanation:

xcfgghsjwueueueuririgg&jjikhffxghjh

Answer:

905.45

Step-by-step explanation:

el treinta y cinco por ciento 35% de 2587 es: 905.45

Answer:

y+1=2(x-1)

Step-by-step explanation:

use point slope form