Harry solved a quadratic equation. His work is shown below.
In which step did Harry make an error?
(x - 5)² + 6 = 42
(x - 5)^2 = 36 Step 1
x- 5 = 6 step 2
x = 11 Step 3
Choose 1 answer:
Step 1
Step 2
Step 3

Answer:

42 Square feet

Step-by-step explanation:

A=(1/2)bh

A=(1/2)(14)(6)

A=42

Answer:

66 m/h

average speed = distance / time

528/8 = 66m/h

Step-by-step explanation:

Answer:

slope is undefined

Step-by-step explanation:

The slope of a vertical line parallel to the y- axis is undefined

Answer:

Step-by-step explanation:

1-2(2x+1)=1-(x-1)

-1(2x+1)=1-(x-1)

-2x-1=1-x-1

-2x+x=0+1

-x=1

x=-1

Step-by-step explanation:

L= W+5

P= 9W

P= 2L+ 2W

9W= 2(W+5) + 2W

9W= 2W +10 +2W

9W = 4W +10

5W = 10

W = 2

L=7

P= 9(2)

P= 18

A= LW

A= 7 x 2

A= 14

Answer:

x =2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Use pythag to create your equation.

x^2+5^2=7^2

x=[tex]\sqrt{24}[/tex]

In simplest radical form: x =2[tex]\sqrt{6}[/tex]

Answer:

adult $13   student $15

Step-by-step explanation:

A=adult        S = student

9A + 4S = 177

1A + 4S =  73

Multiply the second by (-1)

9A +4S = 177

-1A -4S = -73

ADD BOTH (4S will be cancelled)

  8A = 104

   A = 13      ( Adult ticket = $13)

13 + 4S = 73

4S = 60

S = 15  ( student ticket $15)

A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.

Learn more about radian here https://brainly.com/question/19758686

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Answer:

286

Step-by-step explanation:

Use term formula for +/-

Tn = a + (n-1)d

n= number of term

a= first number in sequence

d= difference between each number

T55 = 16 + (55-1)5

T55 = 16 + 270

=286

1 term= 5

10 terms = 50

16+ (55-1)5

16+54x5

54x5= 270

270+16=286

The 55th term would be 286

Answer:

7.9 X 10^3

standard form means it has to between 1 and 10

Answer:

400.

Step-by-step explanation:

4 x 100 = 400

Answer:

150% increase

Answer:

10^x=1/100

10^x=10^-10

x=-10

Step-by-step explanation:

Answer:

B. 54°

Step-by-step explanation:

There are 360° in a circle and sector 4 consists of 15% of it.

We just have to multiply the 2 numbers.

15% = 0.15

0.15(360) = 54

Answer:  [tex]\dfrac{6}{8}[/tex]

Step-by-step explanation:

Given

There are 6 Programmers and 8 Analysts working on a team at CIA.

Ratio of Programmers to analysts is

[tex]\Rightarrow \dfrac{6}{8}[/tex]

Un-simplified ratio is [tex]\dfrac{6}{8}[/tex]

Simplified ratio is [tex]\dfrac{3}{4}[/tex]

Answer:

C, D, B.

Step-by-step explanation:

y=mx+b

look at what numbers are in the variable spots.

Answer:

654 mutiply 78 plus is 28

Answer:

7. V = pi(r)^2(h)

   V = pi(7)^2(20)

   V = 3078.76

8. Same formula as 7.

V = 502.65

10. Same formula again

V = 62.83

11. V = 4/3*pi(r)^3

    V = 4/3*pi(6)^3

    V = 904.78

Answer:

[tex]<D=95[/tex]

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = [tex]\frac{187}{22}[/tex]

Simplify,

z = [tex]\frac{17}{2}[/tex]

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10([tex]\frac{17}{2}[/tex])

Simplify,

<B = 85

Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)

<B + <D = 180

Substitute,

85 + <D = 180

Inverse operations,

<D = 95

Answer:

x+10+88=180

x. =180-98

x. =82

Answer:

the y intercept will be the c value of the parabola so the y intercept is -2, (0,-2)

Step-by-step explanation:

Answer:

5 4/5

Step-by-step explanation:

Answer:

6 1/10

Step-by-step explanation:

Add 4 1/2 and 1 3/5. To add that, you need to multiply the denominators and the numerators, in this case that equals 10. So then add the fractions first 5/10+ 6/10=11/10. Since that is an improper fraction, add +1 to the hole numbers, so you answer would be 6 1/10

Answer: rfthhhhh

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

C. g(x) = -|x|

Step-by-step explanation:

|x| is an upwards v centered at the origin

- |x| is a downwards v centered at the origin

Answer:

Step-by-step explanation:

f(x) = -4cos(3x-pi) +2

compare to f(x) = A cos (B(x+C))+D

A is amplitude =4

Period is 2pi/B so period = 2pi/3

Phase shift is C so phase shift = -pi (this could be positive if it shifted to the left)

Midline is at D so midline is y=2

Answer:  $19,864.60

Step-by-step explanation:

The future value formula could have been used to find the price in the 6th year. As we now know the price, the formula can now be used to find the original price.

Price at 6th year = Original price * ( 1 + rate) ^ number of years

12,045 = Og * ( 1 - 8%) ⁶

12,045 = Og * 0.606355001344

Og = 12,045 / 0.606355001344

Og = $19,864.60

Rate is subtracted because price was reducing.

Answer:

approximately 157 square units

Step-by-step explanation:

To find areas of all shaded regions, find the area of each of the three triangles

Area of circle with diameter of 6, radius of 3 is:

A = π3² = 9π

Area of circle with diameter of 8, radius of 4 is:

A = π4² = 16π

Area of circle with diameter of 10*, radius of 5 is:

A = π5² = 25π

*Found this value by using the Pythagorean Theorem for the right triangle

Total Area = 50π which is approximately 157 square units

Answer:

60

Step-by-step explanation:

hope it helps!