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
Answers
Answer:
x = 11 or x = -1
Step-by-step explanation:
(x-5)^2 = 36
(x-5) = 6 or (x-5)= -6
then x = 11 or x = -1
Answer:
Step 2
Step-by-step explanation:
Related Questions
what is 10^x=1/100?
solve for x
Answers
Answer:
10^x=1/100
10^x=10^-10
x=-10
Step-by-step explanation:
Semicircles are constructed on the three sides of a triangle as shown below. Find the area of the shaded region.
Answers
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
PLEASE HELP ME ASAP!! What is the value of x in simplest radical form? х 13 84
Answers
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]
What is 66.6% as a fraction ( simplest form )
Answers
plz help asap.. I have no idea how to do this.
Answers
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
1% of what number is 4?
Answers
Answer:
400.
Step-by-step explanation:
4 x 100 = 400
While shopping for a big party Nick has $90 worth of item) in his grocery cart. Soda is $2 a
bottle. Nick can spend $112 on everything. How many bottles of soda can Nick buy?
Answers
What is g(x)?
A. g(x) = -x
B. g(x) = -2
C. g(x) = -1
D. g(x) = x²
Answers
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
please answer ASAP. is this undefined(A) or is it 1 (B)
Answers
Answer:
slope is undefined
Step-by-step explanation:
The slope of a vertical line parallel to the y- axis is undefined
#1: Find the area of the triangle shown below.*
6 ft
14 ft
Answers
Answer:
42 Square feet
Step-by-step explanation:
A=(1/2)bh
A=(1/2)(14)(6)
A=42
Could you help me answer this questions?
Answers
Answer:
C, D, B.
Step-by-step explanation:
y=mx+b
look at what numbers are in the variable spots.
Find the y-intercept for the parabola defined by
this equation:
y=-6x² – 7x – 2
Separate the values with a comma.
Answers
Answer:
the y intercept will be the c value of the parabola so the y intercept is -2, (0,-2)
Step-by-step explanation:
Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if the length of the intercepted arc is ___.
A. 6.28 units
B. the same as the length of the diameter
C. the same as the length of the radius
D. pi/4 units
Answers
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.
What is the measure of 1 radian?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
#SPJ2
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answers
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
7900 in standard form
Answers
Answer:
7.9 X 10^3
standard form means it has to between 1 and 10
find the length, width, area, and perimeter of a rectangle where the length is 5 units more than the width and the perimeter is 9 times the width
Answers
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
Ninas car exponentially depreciate at a rate of 8% per year. If Nina bought the car when it was 6 years old for 12,045 , what was the original price
Answers
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.
You and your family are driving to the Wild Animal Park in Escondido, CA. The distance from your house to the park is 528 miles. You hope to get there in 8 hours of driving time. What would be your average driving speed. Explain your thinking
Answers
Answer:
66 m/h
average speed = distance / time
528/8 = 66m/h
Step-by-step explanation:
what are the amplitude period phase shift and midline for F(x)=-4cos(3x-3.14)+2
Answers
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
Todd bags fruit. He has
483 oranges, 822 apples,
199 pears, and 552
bananas. If he puts
8 pieces of fruit in each
bag, how many bags can
he make?
Answers
Answer:
60
Step-by-step explanation:
hope it helps!
HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.
Answers
Answer:
150% increase
what is the answer for this word problem??
The school that Scott goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 4 student tickets for a total of $177. The school took in $73 on the second day by selling 1 adult ticket and 4 student tickets. Find the price of an adult ticket and the price of a student ticket.
Price of an adult ticket $
Price of a child's ticket $
Answers
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)
Mahima bought a laptop from rupees 7500 .she spent rupees 500 on it repair and further sold it at a loss 12 percentage find the loss she suffered.......plz tell me,,, fast...
Answers
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
Answers
Answer:
x+10+88=180
x. =180-98
x. =82
There are 6 Programmers and 8 Analysts working on a team at CIA. What is the unsimplified ratio of Programmers to Analysts?
Answers
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]
please provide an answer
Answers
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
10z=85 degree
8z=68 degree
I need help ASAP!!! 40points!!!
Answers
Answer: rfthhhhh
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
Please help me with all 6 questions ASAP DUE SOON AND SHOW WORK !!!!
Answers
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
please solve the question with the process
Answers
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
Answer in simplest from
Answers
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