Answer:
cube" (and any subsequent words) was ignored because we limit queries to 32 words.
If using the method of completing the square to solve the quadratic equation
x² + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i
Step-by-step explanation:
For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.
What is a quadratic equation?Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.
It is given that the equation is, x² + 2x + 16 = 0,
The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.
In order to complete the square you have to take out the following operations,
x² + 2x + 16 = 0
Add and subtract by 1 as
x²+2x+16+1-1
x²+2x+1 +15
(x+1)²+(√15)²
Thus, you must add 1 in order to complete the square.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ2
What two words will fill in the blanks correctly?Single choice.
(1 Point)
In similar figures, the ratio of the lengths of their corresponding sides are ____________ and corresponding angles are ____________.
equal and congruent
similar and similar
similar and congruent
here's the answer :
=》
In similar figures, the ratio of the lengths of their corresponding sides are equal and corresponding angles are congruent.
hence, A. equal and congruent is correct.
Answer:
equal and congruent
Step-by-step explanation:
equal and congruent
Find the equation of the circle with a center at (2,-1) and a radius of square root of 12
Answer:
[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0
Step-by-step explanation:
Given that, center at (2,-1)
let a = 2, b = -1
radius, r = [tex]\sqrt{12}[/tex]
As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.
By this formula , we can get,
[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]
[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12
[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0
This is the answer.
mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall
Answer:
no
Step-by-step explanation:
9x12=108
108 square feet so not enough paint.
needs more paint that covers 4 square feet
Answer fast PLEASE!!! :)
Answer:
i would say... maybe a or c
Step-by-step explanation:
im not sure
Todd can run 1/2 a mile in 1/12 of an hour. what is todd’s rate in miles per hour?
Answer:
Step-by-step explanation:
(1/2 mile)/(1/12 hour) = 12/2 = 1 mph
How long it takes someone to walk a trail depends on the length of the trail, which you did not provide. The formula is distance = rate*time, so time = distance/rate. You know the rate = 1 mph
Which number line shows all the values of x that make the inequality -3x+1<7
true?
Answer:
D
Step-by-step explanation:
Firstly, we need to get the value of x 1-7 < 3x
-6 < 3x
-2 < x
or x > -2
So we need a number line that has the unshaded circle placed at 2 ( since the inequality sign is single) and it faces the right (arrow face right)
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
I'm not sure but I think its a
What is the equation of the line that passes through the point (4,-4) and has a
slope of -5/2
Answer:
y = -5/2x + 6
Step-by-step explanation:
y = -5/2x + b
-4 = -5/2(4) + b
-4 = -10 + b
6 = b
y = -5/2x + 6
Select the correct answer.
Solve the equation using the method of completing the square.
2x^2 + 163 - 8 = 0
Answer:
D
Step-by-step explanation:
[tex]2x^2+16x-8=0[/tex]
Simplify:
[tex]x^2+8x=4[/tex]
Rewrite in the form [tex](x+a)^2=b[/tex]:
[tex]x^2+8x=4[/tex]
Add [tex]4^2[/tex] to both sides:
[tex]x^2+8x+4^2=4+4^2[/tex]
[tex]x^2+8x+4^2=20[/tex]
[tex]\left(x+4\right)^2=20[/tex]
[tex]x+4=\sqrt{20}[/tex] or [tex]x+4=-\sqrt{20}[/tex]
x = -4±[tex]\sqrt{20}[/tex]
x= -4±[tex]2\sqrt{5}[/tex]
IS IT A FUNCTION? PLEASE HELP ILL HIVE BRAINLEST! SHOW WORK ‼️‼️
1) (-5,-3)(7,2)(3,8)(5,-3) (3,-8)
Answer:
No, this is not a function. If you place the points, it will not pass the vertical line test. And, in a function, each x-coordinate has to have one y-coordinate. In this problem, there are two x-coordinates of 3, and they both have a different y-coordinate.
Step-by-step explanation:
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
А. The lines intersect at one point.
В. The lines are parallel
C. The lines are the same line.
D. The lines cannot be graphed.
Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?
Thanks For answering!
Answer:
64 slices
Step-by-step explanation:
The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.
16⋅8=128 slices of bread in total
Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.
128÷2=64.
Find the volume of the rectangular prism below.
Answer: 540 cm cubed
Step-by-step explanation:
Formula = L*W*H
18 * 7.5 * 4 = 72 * 7.5 = 540
Find the area of the circle with a diameter of 12 m.
a 95.64 m2
b 112.27 m2
C 113.04 m2
d 210.36 m2
Answer:
113.04 is our answer
Step-by-step explanation:
When finding Area the formula to do so is
radius x radius x pi
Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So
3.14 x 36 = 113.04 So c is our answer!
What number will complete the square for the following equation:
x² + 8x =6
Answer:
4² = 16Step-by-step explanation:
x² + 8x = 6x² +2*x*4 + 4² = 6 + 4²(x + 4)² = 22Number needed is 4² = 16
Answer:
Solution given:
x² + 8x =6
x²+2.x.4+4²-4²=6
(x+4)²=6+16
(x+4)²=22
so
no needed is 4² or 16.
3. If x and y vary directly, and x = 60 when y = 5, what is the value of у when x = 36 ?
Answer:
y = 3
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 60 as x and 5 as y, and solve for k
y = kx
5 = k(60)
1/12 = k
So, the equation is y = 1/12x
Plug in 36 as x and solve for y
y = 1/12x
y = 1/12(36)
y = 3
So, when x = 36, y = 3
10 points. . .. this is for my brother they have changed stuff so much from when i was in 6th
Answer: 1.885 miles
Step-by-step explanation:
Given: One lap around a park = 0.58 mile
The number of laps walked by Jessica= 3.25
Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :
Hence, Jessica walked 1.885 miles around the park.
Answer:
im a dad, and i have the best woman in the world, best wife and mother to are boy
Step-by-step explanation:
At a football stadium, 10% of the fans in attendance were teenagers. If there were 100 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
The answer is 1000.
*Explanation*
Attendance at the football stadium is 100%
100% - 10% = 90%
10% = 100 attendance
900% = 900 attendance
900 + 100 = 1000 attendance
An article is bought for Rs. 125 what is the profit percentage?
Step-by-step explanation:
Solution given;
cost price=Rs125
profit%=?
we have
profit%=[Selling price-cost price]/cost price×100%
=[selling price-Rs.125]/Rs 125×100% is your answer
whowever answers any 2 I will follow them
Answer:
1. x = 5 y = 6
2. x = 3 y =5
3. x = 2 y = 4
4. x = 2 y = 1/2
5. x = 6 y = 4
6. x = 2 y = 1
Step-by-step explanation:
i hope it helps u
Help please due in a few minutes will give brainliest for correct answer
Answer:
Hi love
1. is D
2. is B
Hope this helps
A company surveyed its employees regarding the number of miles
commuted each day. The data set below shows the results
9, 15, 26, 32, 65, 5, 10, 19, 26, 32, 8, 15, 25
30, 40, 7, 12, 21, 27, 35, 60, 29, 23, 14,8
Using a box plot, determine the outlier value of the data set above.
A. 65
OB. 23
C. 60
D. The data set does not contain an outlier.
E. 5
Answer: According to Study Island the answer is 65
Step-by-step explanation:
In order to determine the outlier value, create a box plot.
To create a box plot, order the data.
5, 7, 8, 8, 9, 10, 12, 14, 15, 15, 19, 21, 23, 25, 26, 26, 27, 29, 30, 32, 32, 35, 40, 60, 65
Find the median, the first quartile (Q1), the third quartile (Q3), and the interquartile range (IQR).
Median = 23
Q1 =
10 + 12
2
= 11
Q3 =
30 + 32
2
= 31
IQR = Q3 - Q1 = 31 - 11 = 20
Find the upper and lower fences for the given data.
Lower Fence = Q1 - 1.5 × IQR
= 11 - 1.5 × 20
= -19
Upper Fence = Q3 + 1.5 × IQR
= 31 + 1.5 × 20
= 61
Zac collected 4 pounds of aluminum cans. Brittney collected 1 1/3 times as many pounds as Zac. How many pounds of aluminum cans did Brittney collect? *
Answer:
5 1/3
Step-by-step explanation:
You turn 1 1/3 into an improper fraction by multiplying 3 time 1 plus 4 and you get 4/3. you multiply 4/1 time 4/3 and get 16/3. 16/3 divided by 3 = 5 with a remainder of 1 and get 5 1/3
I will mark brainliest
Answer:
4.89
Please mark brainliest
helpppppppppppppppppppp
Answer:
10
Step-by-step explanation:
The pattern is multiplication by 2,
5x2 is 10
10x2 is 20,
and so on
Answer:
your answer is 10
Step-by-step explanation:
5 ,10 ,20 ,40 ,80
Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answer:
3.3 = [tex]3^{2}[/tex] = 9
Step-by-step explanation:
Solve for X pleaassee help
What is the total number of unique triangles with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?\
Answer:
Total 9 unique triangles can be formed
Step-by-step explanation:
For triangles to be unique, length of one side can be arranged in 3 different ways
Let us L1, L2 and L3 are the three sides
Now, length of 6.5 cm can be at maximum three positions i.e L1, L2 and L3
Like wise length of 6.0 cm can be at maximum three positions i.e L1, L2 and L3
and length of 2.5 cm can be at maximum three positions i.e L1, L2 and L3
Hence, total ways of making unique triangles are
3 + 3+ 3= 9
For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?
Answer:
72 kg
Step-by-step explanation:
For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?
We are given the ratio
cement: sand:stones
= 1:2:4
The sum of proportion =
1 + 2 + 4 = 7
We are given the kg of sand = 144kg
Step 1
We find the total kg of cement, sand and stones = x
Using the proportion of sand,
2/7 of x = 144kg
2/7 × x = 144kg
2x/7 = 144kg
Cross Multiply
2x = 7 × 144kg
x = 7 × 144kg/2
x = 504kg
Therefore the total kg of cement, sand and stone = 504kg
Step 2
The amount of cement required is calculated as:
1/7 × 504 kg = 72 kg
Therefore, 72kg of cement is required.