Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an² + bn + c.
1, 11, 27 and 49
Find the values of a, b and c.

In a unit circle, θ=180, the terminal point is (-1,0)

The terminal point is (-1, 0) in a unit circle at ø=180°.

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

In a unit circle

∵ Ф = 180°

By using the third rule above

Therefore the terminal point is (-1, 0)

To know more about circles follow

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Answer:

2401

Step-by-step explanation:

because 7*7*7*7=2401

Answer:

2,401

Step-by-step explanation:

The question states what is 7^4 simplified, meaning what is 7 to the 4th power!!

=2,401

Answer:

the answer is true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The test said it is right

Answer:

exact form:1/3    

Step-by-step explanation:

Answer: d . 142

Step-by-step explanation:

Answer:

√142

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Hypotenuse² = base² + altitude²

5)  x²  = 12² + 6²

         = 144 + 36

  x²  = 180

x = √180

x = 13.42 ft

6) 25² = x² + 19²

625 = x² + 361

625 - 361 = x²

x² = 264

x = √264

x = 16.25 m

7)  x² = 7² + 576

        = 49 + 576

        = 625

x = √625

x = 25 in

8)  2.5² = 2²+ x²

6.25 = 4 + x²

6.25 - 4 = x²

x² = 2.25

x = √2.25

x = 1.5 yd

Answer:

[tex] \frac{8x}{14y} = \frac{ \frac{8x}{2} }{ \frac{14y}{2} } = \frac{4x}{7y} \\ [/tex]

Hence, they are equivalent.

Answer:

10

Step-by-step explanation:

Answer:

1/10 of the number is 10.

Step-by-step explanation:

We know that 40 is 2/5 of this unknown number, so 4/5 would be 80. Then, to fill up the other 1/5, we must split 40 into half.

1/2 of the number 40 is equal to the number 20.

80 + 20 = 100, so 5/5 would be equal to 100.

Now, we have to find one tenth of the number 100.

1/10 of the number 100 is the number 10. (1/10 of 100 = 10)

The answer to the question is 10.

Law = 99 sq.

L = 2w + 7

---

Law = 99

(2w + 7)w = 99

2ww + 7w = 99

2ww + 7w - 99 = 0

---

the above quadratic equation is in standard form, with a=2, b=7, and c=-99

---

to solve the quadratic equation, plug this:

2 7 -99

the roots of the quadratic are:

-9

5.5

---

the negative root doesn't make sense as a length, so use the positive root:

---

w = 5.5

L = 18

---

Answer:

4

Step-by-step explanation:

if there are 6 numbers on the dice and he rolls it 24 times all you have to do is  24/6 and you get that he is expect to get a 5 4 times

Answer:

4

Step-by-step explanation:

got the answer Hegarty maths

Answer:

8.5

Step-by-step explanation:

58.65/6.9= 8.5

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

there are 11 spaces between the points

just count the number of spaces, no calculations needed.

Answer:

$9.43

Step-by-step explanation:

$47.15 x 0.2 = $9.43

Answer:

$47.15 with a 20% tip would equal to $9.43.

Step-by-step explanation:

47.15 x 20% = $9.43.

Answer: A triangle can either be... an

Acute-angled triangle.

Obtuse-angled triangle.

Right-angled triangle.

Step-by-step explanation: Here is an image of each type of triangle based on its angles.

Answer:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40

Step-by-step explanation:

Let us represent:

Cost of Wedding cakes = x

Cost of Birthday cakes = y

Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500.

2x + 5y = 500..... Equation 1

The next week they made 1 wedding cake and 7 birthday cakes but only made $430.

x + 7y = 430..... Equation 2

x = 430 - 7y

We substitute 430 - 7y for x in Equation 1

2x + 5y = 500..... Equation 1

2(430 - 7y ) + 5y = 500

860 - 14y + 5y = 500

860 - 500 = 14y - 5y

360 = 9y

y = 360/9

y = $40

Solving for x

x = 430 - 7y

x = 430 - 7(40)

x = 430 - 280

x = $150

Therefore:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40

Answer:

No Solution.

Step-by-step explanation:

For starters, here are our two equations:

[tex](x^2-x-6)>0[/tex]

[tex]10-2x<5[/tex]

The first option is to solve for x in our second equation. First, we add 2x to both sides to get [tex]10<5+2x[/tex]. Then, we subtract 5 from both sides to get [tex]2x<5[/tex]. Finally, we divide both sides by 2 to get [tex]x<2.5[/tex]. We can plug in 2.5 into our second equation to test if it works. If it does not work, then anything less than 2.5 won't work, and the solution would be impossible.

Now we can plug in our values into our first equation. We now have the equation [tex]2.5^2-2.5-6>0[/tex]. We can simplify to get [tex]-2.25>0[/tex]. This test failed, so there are no solutions. A solution would be impossible.

7.25h + 9(20) = 288.75

Multiply 9 by 20:

7.25h + 180 = 288.75

Subtract 180 from both sides:

7.25h = 108.75

Divide both sides by 7.25

h = 108.75 / 7.25

h = 15

He spent 15 hours delivering pizzas.

Answer:

12

Step-by-step explanation:

9x20=180 288.75-180=108.75 108.75÷9=12.0833333333

Answer:

y = -8/5x + 23/5

Step-by-step explanation:

Complete question

Write the equation of the line, in slope-intercept form, that has a slope of -8/5and contains the point (6, –5)

The equation of a line in pint slope form is expressed as;

y - y0 = m(x-x0)

Given

m = -8/5

(x0, y0) = (6, -5)

Substitute into the formula

y - (-5) = -8/5(x-6)

y+5 = -8/5(x-6)

Multiply through by 5

5(y+5) = -8(x-6)

5y + 25 = -8x + 48

5y = -8x +48 - 25

5y = -8x + 23

y = -8/5x + 23/5

Hence the equation in slope intercept form is y = -8/5x + 23/5

Answer:

Tu is your answer hope it helps you

Answer:

x=8

Step-by-step explanation:

3/4x + 5 = 11

3/4x = 6

x = 8

Answer: [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Given

Sean paints [tex]\frac{8}{15}[/tex] of a fence in 1 hour

Sean paints [tex]\frac{3}{10}[/tex] part less in the second hour

So, fraction he paints in the second hour = [tex]\frac{8}{15}-\frac{3}{10}=\frac{16-9}{30}=\frac{7}{30}[/tex]

Paint in 2 hours = [tex]\frac{8}{15}+\frac{7}{30}=\frac{16-7}{30}=\frac{9}{30}[/tex]

                          =[tex]\frac{3}{10}[/tex]

No, he did not finish his job

Answer:

[ 8 20 -4 ]

Step-by-step explanation:

2[4 10 -2 ]

=[8 20 -4]

Answer:

Perpendicular

Step-by-step explanation:

2x-10y=14

-2x        -2x

-10y=14-2x

/-10      /-10

y=14+1/5

in order for them to be perpendicular the slope has to be the complete opposite to be more exact the number has to be flipped and so does the sign and since -5 was flipped to +1/5 it shows that they would be perpendicular

( sorry if this doesn't make sense, its hard to explain it virtually.)

To find the answer to this problem, you can tell first that the entire rhombus is 360 degrees. And PLA is the same as ANP so ANP is 122 degrees.

360 - 122 + 122 = 116

116 divided by 2 = 58

measure LPN is 58 degrees

and half of 58 is 29

so measure LPA is 29 degrees

Answer: 7.71666667

Step-by-step explanation:

Answer:

all the time 8:6

Step-by-step explanation: