Given: 2x^2+ 32x + 16 = 0
Step 1: x^2+ 16x +8=0
Step x^2+ 16x = -8
Write numbers in each box to correctly complete the square In Step 3.
Step 3: x^2+ 16x +
Answers
Answer:
Step 3: x² + 6x + 64 = -8 + 64
Step-by-step explanation:
At step 3 add 64 on both sides to complete the square.
so x² + 6x = -8
becomes x² + 6x + 64 = -8 + 64 when 64 is added both sides giving us step 3.
continuing from there, we get
x² + 6x + 64 = 56
we then use a² + 2ab + b² = (a + b)² on the left side to get
(x + 8)² = 56 (solve the equation for x)
by taking the root on both sides
√(x + 8)² = √56
x + 8 = +- 2√14 (separate the equations
x + 8 = 2√14
x + 8 = -2√14
Solving for x
x = 2√14 - 8 or x = -2√14 - 8
Related Questions
what is 100×100 and 100÷100
Answers
Answer:
100* 100 = 10,000 100 divided 100 is 1
Step-by-step explanation:
100•100 is 10,000
100 divided by 100 is 1
A jet airliner, flying initially 300 mi/hr due
east, suddenly enters a region where the
wind is blowing 100 mi/hr, pushing the
aircraft in the direction 30° north of east.
What is the resultant speed of the aircraft?
Answers
Answer:
389.82 mi/hr
Step-by-step explanation:
For us to find the resultant speed of the aircraft, we will simply add the vector components of the wind and the vector velocity of the aircraft to get;
V = v_xi^ + v_yj^
Now,
v_xi^ = (300 + 100cos30°)i^
v_yj^ = (100 sin 30°) j^
This gives;
v_xi^ = 386.6 i^
v_yj^ = 50 j^
Thus;
V = 386.6 i^ + 50 j^
Resultant velocity is;
|V| = √(386.6² + 50²)
|V| = √151959.56
|V| = 389.82 mi/hr
Help me solve this problem please
Answers
Answer:
x=0
Step-by-step explanation:
Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the jug. How much syrup remains in the measuring cup?
Answers
Helppp Bc I don’t know what to do
Answers
Answer:
Option (b) will be the correct answer.
Step-by-step explanation:
190×10⁸
1.9×10²×10⁸
1.9×10¹⁰
Answer:
B
Step-by-step explanation:
190 x 10^8 = 19000000000
1.9 x 10 ^10= 19000000000
The sum of the digits of a two-digit
number is 12. If the digits are interchanged,
the number is increased by 36. Find the
number
Answers
Answer:
48
Step-by-step explanation:
x+y=12
y=12-x
10y+x =10x+y +36
9y-9x=36
108-9x-9x=36
-18x=-72
x=4
y=8
Help me solve this problem please
Answers
Answer:
JL = 54
Step-by-step explanation:
JL = JK + KL
JK = KL
8x+11 =14x-1
12 = 6x
x = 2
substitute for x:
8(2)+11 + 14(2)-1 = JL
JL = 16+11+28-1
JL = 54
3.
A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
A. The balloon starts at a height of 500 ft and rises at a rate of 300 ft.
B. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.
C. The balloon starts at a height of 0.05 ft and rises at a rate of 150 ft.
Answers
Answer:
Option B will be your answer
Step-by-step explanation:
B. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.
hope it helps ^_^
Answer:
the answer is C
Step-by-step explanation:
It shows the line starts at 0.05 a d to get to 3 it has to raise upb150 ft
16. At the same time a 10-foot pole casts a 22-foot shadow,
a nearby tree casts a 33-foot shadow. How tall is the tree?
Answers
Answer:
iik
Step-by-step explanation:
ko[[[[[[[[[[[[[[[[[[i
Answers
Answer:
70, 000 grams
Step-by-step explanation:
first convert grams to kilograms
there are 1,000 grams in a kilogram so multiply the 200 kg by 1,000
so
200 * 1000 = 200,000
200,000 grams of vegetables is what he started with
then you have to multiply that by the 35% that he sold
so
200,000 * 35% = 70,000
he sold 70,000 grams of vegetables by noon
Help me please and thank you
Answers
Answer:
4.2 hours
Step-by-step explanation:
He spends 6 hours helping customers and 1.8 doing paperwork.
Eh uh I need help lol:)
Answers
Answer:
blue =5/13. speckled=4/13
Enlarge the triangle by scale factor -2, using point (8,8) as the centre of enlargement
(please hurry 15 points)
Answers
Answer:
I understand you probably don't need this anymore but here is the answer anyway.
Step-by-step explanation:
So what you want to do is draw a line from a corner to the centre of enlargement (I'll use the one at (9, 10) ). Then you see that it take 2 boxes to get to that, keep the line going through for double as much as it took to reach the centre of enlargement, this is because the scale factor is two. Do this for every corner, going through the centre of enlargement for the double the length it took to get to it (plot a cross at each bit you end up). Finally, remove the lines you used and connect the crosses. This method may be a bit confusing and someone who understands it more than me would probably explain what the minus means, if I explain it will probably make this more confusing. Hope this Helps!
A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?
Answers
Answer:
52 photos per hour
Step-by-step explanation:
8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52
Answer:
A) 52
Step-by-step explanation:
Sam paid £8 for two footballs.
One football cost £2 more than the other
What was the cost of the more expensive football?
[2 marks]
Answer
Answers
Answer:
£6 you do £8-£2= £6
Step-by-step explanation:
Answer:
£8-£2=£6
Step-by-step explanation:
HURRY
What is the name of the figure?
triangular prism
O triangular pyramid
O rectangular prism
O rectangular pyramid
Answers
Answer:
rectangular pyramid
Step-by-step explanation:
The sum of 2 numbers is 36. Their difference is 24. Find the numbers.
Answers
Answer:
So the answer is 6 and 30.
Answer: 30 and 6
Step-by-step explanation:
According to a 2021 survey, the number of people who voted in favor of online shopping was 2,340. The number of people who voted against the online shopping was 1,260. What percent of the voters were in favor of the online shopping?
Answers
Answer:
Step-by-step explanation:
according to me im and idiont
A line's y-intercept is -9, and its slope is 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=x-9
Step-by-step explanation:
What is the area of the figure below?
Answers
Answer:
86 is the area of the figure
Step-by-step explanation:
16+70
Of the questions on his math test, Shane answered 42 correctly and 18 incorrectly. What percent of the total questions did Shane answer correctly?
Answers
Answer:
She answered 70% of the questions correctly.
what's 0.00908 as a scientific notations
Answers
Answer:
9.08x10^-3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
9.08 × 10^-3
Hope this helps.
Which Graph Matches The Table?
Answers
Answer:
graph W
Step-by-step explanation:
The salary of 12workers is $ 3732 . what will be the salary of 5 workers
Answers
X= ($3732)(5)/12
X= $1555
Salary of 5 workers is $1555
Answer:
746.4
Step-by-step explanation:
30 POINTS HELP MATH PLEASE ILL GIVE BRAINIEST
Show work please :)
Answers
Answer:
yo
Step-by-step explanation:
Answer:
71.55
Step-by-step explanation:
a2 + b2 = c2
c=square route (a2+b2)
Can someone please explain what they did wrong in the problem and explain how you would fix it. (8grade math)
Answers
Answer:
They got their points wrong, and did the wrong quadrant.
Step-by-step explanation:
I need help on this one too and im done! someone please help me!
Answers
Explanation: find the area of one of the triangles, A=(b*h)/2, and then one of the rectangles, A=l*w. Multiply the triangles area by two, there are two triangles. Multiply the rectangles areas by three, there are three rectangles. I’ve included calculations in the picture below.
x^2+3=7x
Quadratic Formula
Answers
Answer:
=
7
±
3
7
√
2
Step-by-step explanation:
Answer:
=7±√37/2
Step-by-step explanation:
NEED HELP ASAP I will give BRAINLIST
Line BD intersects line CE and the measure of ∠BAC
is 6° more than twice the measure of ∠CAD
If m∠DAE=122°
, which equation can be solved for x, the measure in degrees of ∠CAD
?
A
3x+128=180
B
2x+6=122
C
2x+128=180
D
3x+6=122
Answers
Steph makes scones in three flavours: cheese, fruit and plain.
She makes:
• 4 times as many fruit scones as cheese scones,
• 3 times as many plain scones as cheese scones.
She sells each scone for the same price.
She makes a total of £96 from the sale of all the scones.
How much does she make from the sale of the plain scones?
Answers
Answer:
The amount she makes from the sale of plain scones is £36
Step-by-step explanation:
The number of flavors of scones Steph makes =
The number of fruit scones she makes = 4 × The number of cheese scones she makes
The number of plain scones she makes = 3 × The number of cheese scones she makes
The price at which she sells the cheese scones = The price at which she sells the fruit scones
The price at which she sells the cheese scones = The price at which she sells the plain scones
The total amount she makes = £96
Let, 'x', represent the number of cheese scones she makes
Therefore, we have;
The number of fruit scones she makes = 4·x
The number of plain she makes = 3·x
∴ The total number of scones she makes = 4·x + 3·x + x = 8·x
The total number of scones she makes = 8·x
The total amount she makes from selling the 8·x scones she makes = £96
∴ 8·x = £96
x = £96/8 = £12
The amount she makes from the sale of 'x' number of scones = £12
The number of plain scones she makes = 3·x
From the sale of '3·x' number of plain scones, she makes = £12 × 3 = £36