Quadratics
Give an example of an x-intercept from a vertex form equation.

Answer:

36, 38, 40, 42, 44

Step-by-step explanation:

We can denote an even number as 2n (where n is a natural number).

Each consecutive even number will be 2 more than the previous number.

Let 1st number = 2n

⇒ 2nd number = 2n + 2

⇒ 3rd number = 2n + 4

⇒ 4th number = 2n + 6

⇒ 5th number = 2n + 8

Sum of all 5 numbers is 200.  

⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200

⇒ 10n + 20 = 200

⇒ 10n = 180

⇒ n = 18

If n = 18, then 2n = 36

Therefore, the numbers are 36, 38, 40, 42, 44

Step-by-step explanation:

Hey there!

The points P1(3,-3) and midpoint is (-2,1). Let (X,y) be the end point.

Note: Find through using midpoint formula.

midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Put all values.

(\frac{X+3}{2},\frac{-3+y}{2})

Since they are equal, equating with it's corresponding components.

\frac{3 + x}{2} = - 2

-2 = 3 + x

-4 -3= x

Therefore, X= -7.

Now,

[tex] \frac{ - 3 + y}{2} = 1[/tex]

[tex] - 3 + y = 2[/tex]

Therefore, y= 5

Therefore, the other end point is (3,5).

Hope it helps...

Answer:

[tex]a^{-51} = \frac1{a^{51}}[/tex]

Step-by-step explanation:

When you're multiplying two powers with the same base (in our case, a) you add together the exponents.

[tex](\frac{a^1^4\cdot a^-^6}{a^{25}})^3 =\\(\frac {a^{14+(-5)}}{a^2^5})^3= (\frac {a^{14-6}}{a^2^5})^3 = (\frac {a^{8}}{a^2^5})^3[/tex]

Now, when you are dividing two powers with the same base (in our case, a again) you subtract the exponents:

[tex]= (a^{8-25})^3 = (a^{-17})^3[/tex]

Finally, when you're calculating the power of a power, you multiply the exponents together:

[tex]a^{-17\cdot 3} = a^{-51} = \frac1{a^{51}}[/tex]

At this point you just have to choose - or check with your book/teacher if you prefer a negative exponent, or a fraction.

Answer:

D. 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: company A

Step-by-step explanation: i did this on a quiz and got it right

Answer:

option c is the correct one

Answer:

Option (D)

Step-by-step explanation:

Let the equation of the line be,

y = mx + b

where m = slope of the line

b = y-intercept

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since, line 'l' is passing through two points (0, 1) and (-1, 0),

Therefore, slope 'm' = [tex]\frac{1-0}{0+1}[/tex] = 1

y-intercept 'b' = 1

Therefore, equation of the line will be,

y = 1(x) + 1

y = x + 1

Option (D). will be the answer.

Step-by-step explanation:

a=8cm

b=15cm

c=17cm

s=a+b+c/2

 =8+15+17/2

 =40/2

 =20

Using heron's formula,

ar. of triangle= √s(s-a)(s-b)(s-c)

                     =√20(20-8)(20-15)(20-17)

                     =√20×12×5×3

                      =√2×2×5×2×2×3×5×3

                      =2×2×3×5

                      =60cm²

On side 17cm,

Ar. of triangle=1/2×b×h

60=1/2×17×h

∴h=60×2/17

    =7.05 cm

Answer:

c

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

1000≥150+33(s)

1000-150=850

850≥33(s)

850/33=25.(numbers that don't matter because you can't have a decimal of a student)

You can take at most 25 students because you cant have a half a student.

Anwser 52 degrees

Step-by-step explanation:

first you figure out the 2 angles the triangle is missing so 28-90 would be 62

then to find the other unknown angle you solver for the larger triangle

so 90+48=138

180-138=42

42+62=104

104+2y-30=180

add 30

104+2y=210

-104

2y=106

divide by 2

y=53

I did it wrong :) don't pay attention to this comment XP

0 or something? i'm not sure?

Step-by-step explanation:

?

Answer:

3 2/3

Step-by-step explanation:

Do the multiplications and then convert the denominator to the same number.  Then add the fractions/numbers.

1 5/6 = 11/6

1 5/6 * 2 * 3/4 + 1 5/6 * 1 * 3/4​

(11/6)*(2)*(3/4) + (11/6)*(1)*(3/4)

(11/6)*[(2)*(3/4) + (1)*(3/4)]       [Factor out (11/6) to make it easier to calculate, if you want]

((11/6)*(6/4) + (11/6)*(3/4))

(66/24) + (22/24)                 [The denominators are now both 24, so the numerators may be added]

88/24 = 3 (16/24) or 3 2/3

(11/6)*(2)*(3/4)

(11/6)*(1)*(3/4)

Answer:  30 degrees

Step-by-step explanation:

The x value is known, which x is equal to 5. To solve the angle of RSP, substitute x = 5.

RSP =  x + 25 = 5 + 25 = 30 degrees

Answer:

Ans=80

Step-by-step explanation:

You can see the picture for explanation.....

Have a good day ..!!

.. . Dear

Answer:

Step-by-step explanation:

Given linear equation:

Meaning of each term is:

According to above details the correct answer choise is B

Answer:

b

Step-by-step explanation:

bc i did the schoolnet thingy

Answer:

40.5 Units

Step-by-step explanation:

The area of a kite is A = (d1d2) / 2, where d1 and d2 are the diagonals of the kite.

Since the kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

d1 = 9 units

d2 = 9 units

A = (9units * 9units) / 2

A = 81units² / 2

A = 40.5 units²

Answer:

3 to the 6th and it has a value of 3 times 6 witch is 18 so ya

Step-by-step explanation:

just think about pull factors

Answer:

3^6 = 729

Step-by-step explanation:

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

Explanation:

The box says 10 & 2/3 cups of mix will make 24 pancakes.

Carrie only wants to make half that and only wants 12 pancakes.

So we'll divide the mixed number in half.

This means we divide each piece of the mixed number in half like so

Overall, the mixed number 10 & 2/3 divides in half to get 5 & 1/3 which is the final answer.

------------

To check the result, notice that

Meaning that doubling 5 & 1/3 lands us on 10 & 2/3.

The answer has been confirmed.

Answer:

9/100

Step-by-step explanation:

» The diameter of a circle is 11 in. What is the circle's circumference?

— — — — — — — — — —

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

Therefore, the circumference of the circle is 34.54 inches.

_______________∞_______________

Answer:

[tex]\displaystyle 34,557519189...\:in.[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{d} = C \\ \\ 11\pi = C \hookrightarrow \boxed{34,557519189... = C}[/tex]

I am joyous to assist you at any time.

Answer:

x= 50

Step-by-step explanation:

I forgot what it's called but basically 101+x+29= 180 because it's straight line. So you can just go ahead and add 29 and 101 to get 130 and subtract that from 180 to get 50.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Let banana = b

Oranges = a

3b + 2a = 4.50 - - - (1)

a = 0.75 + b - - - (2)

Substitute (2) into (1)

3b + 2(0.75 + b) = 4.50

3b + 1.5 + 2b = 4.50

5b = 4.50 - 1.50

5b = 3

b = 3/5

b = $0.6

a = 0.75 + 0.6

a = $1.35

8√6 = √64 x √6 = √(64x6) = √384

Answer:

D

Step-by-step explanation:

[tex] \sqrt{14 } = cannot \: be simplified \: further[/tex]

[tex] \sqrt{48} = \sqrt{16} \sqrt{3 } = 4 \sqrt{3} [/tex]

[tex] \sqrt{96} = \sqrt{16} \sqrt{6} = 4 \sqrt{6} [/tex]

[tex] \sqrt{384} = \sqrt{64} \sqrt{6} = 8 \sqrt{6} [/tex]

Answer:

99 customers.

Step-by-step explanation:

Ok so

14 hours = 840 minutes

Each customer requires 8 and a half minutes

8 minutes (to proceed through the line)

and

30 seconds (the interval time in between to get to another customer)

840 minutes ÷ 8.5 = 98.8..

Therefore, you can approximately serve 99 customers in 14 hours.

I didn't simply round that up, but the last customer does not need the 30 seconds of interval so therefore, you would get to serve 99 customers in 14 hours anyway.

Answer:

22 1/2

Step-by-step explanation:

4 1/2 = 9/2

[tex]\frac{5}{1} *\frac{9}{2} =\frac{45}{2} \\\frac{45}{2} =22\frac{1}{2}[/tex]