Solve the quadratic equation by completing the square.
x^2+2x+5=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Form:
Solution:
Answer:
[tex] x = - 1 + 2i, \: \: - 1 - 2i[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 2x + 5 = 0 \\ \\ {x}^{2} + 2x + 1 + 4 = 0 \\ \\ {x}^{2} + 2x + 1 = - 4 \\ \\ {(x + 1)}^{2} = - 4 \\ \\ (x + 1) = \pm \sqrt{ - 4} \\ \\ x + 1 = \pm 2i \\ \\ x = - 1\pm 2i \\ \\ x = - 1 + 2i, \: \: x = - 1 - 2i \\ \\ x = - 1 + 2i, \: \: - 1 - 2i[/tex]
Is 864,050 divisible by 10?
Answer:
Yes; 86,405.
Step-by-step explanation:
If the last digit of a number is 0, then it is divisible by 10.
[tex]864,050/10 = 86,405.[/tex]
kim is completing a 40 mile bicycle race she completed 65% of the race how many miles are left?
Answer:
all you need to so is multiply 40 by .65 then you will get your answer of 26 miles left
Step-by-step explanation:
how many number from 1-100 are divisible by 3 or 4
Need help ASAP! What is this
180 - 64= 116
116 divided by 4 = 29
x=29
Have a good day:>
Answer:
x = 29
Step-by-step explanation:
Supplementary angles add up to 180 degrees:
4x+64 = 180
Subtract 64 from both sides:
4x+64-64 = 180-64
4x = 116
Divide both sides by 4:
4x/4 = 116/4
x = 29
David drew this diagram of a picture he is going to make. Each square represents one square inch. What is the area of the picture frame? The picture frame represent blue squares.
Answer:
8
Step-by-step explanation:
7
Each side of a square is 6 2/3 m long. Find its Area
Answer: 80/3
Step-by-step explanation:
What is the domain of the square root function graphed below?
Answer:
x ≥ 3
Step-by-step explanation:
The domain is the set of x values in a function
The ordered pair ( 3 , 1 ) represents the point where the function starts
( note that the point is "closed" which means that ( 3 , 1 ) represents a solution to the function ) ( which also means that we will be using ≤ or ≥ )
The x value of that ordered pair is 3 which means that the domain must include 3.
The line then goes to the right of the x value 3, infinitely which means that the domain is anything greater than or equal to 3
or x ≥ 3
60% of 30 can someone help
the answer to ur question is 18
Question 5 Multiple Choice Worth 1 points)
(06.03)
What is the axis of symmetry for f(x) = -5x2 – 20x - 10?
Ox = 6
Ox= -6
Ox=2
Ox= -2
Answer:
a
Step-by-step explanation:
A car used 1/ 64 of a gallon of gas to drive 1 4of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?
Answer: 16 miles
Step-by-step explanation:
The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:
1/64 gallons : 1/4 miles
1 gallon : x miles
Cross multiply:
1/64x = 1/4
x = 1/4 ÷ 1/64
= 1/4 * 64/1
= 16 miles
On one gallon of gas, the car can travel 16 miles.
‼️I WILL MARK BRAINLIEST‼️
A set of data is shown in the table below. Determine the values of the slope and the y-intercept, and complete the table helow
Please help!! Thank you !!
Answer:
55 degrees
Step-by-step explanation:
Angle ACE and BDE are congruent so segments AC and BD are parallel. That makes angles CAE and DBE congruent.
6x - 15 = 5x - 1
x - 15 = -1
x = 14
So, the measure of angle BDE = 4x = 56 degrees. The measure of angle DBE = 5x - 1 = 69 degrees.
The total of all angles in triangle BDE is 180 degrees, so the measure of angle E = 180 - 56 - 69 = 55
Which property of equality justifies the statement If MN + PQ = RS + PQ, then MN = RS?
Answer:
Additive Property of Equality
Step-by-step explanation:
If we are discussing equations, then the property would be the Additive Property of Equality. It states that if we know something is added to both sides of an equation, the sides remain equal. If y+x=z+x, we know that y=z.
I'll give brainiest just please help
Answer:
1.9
Step-by-step explanation:
just put it into he calculator, because with 3 above the square root.
Answer:
Approximately 1.9 (rounded to the nearest tenth)
Step-by-step explanation:
First, we are left off with the equation:
[tex]y^{3} = 7[/tex]
We know we want to solve for y. So, let's do the opposite of what is being done to y. In other words, let's find the cube root of [tex]y^{3} = 7[/tex].
[tex]\sqrt[3]{y^3} = \sqrt[3]{7}[/tex]
Then, the [tex]\sqrt[3]{y^3}[/tex] just simplifies to y. On the other side, we cannot find the cube root of 7 in our minds, so that is why it tell us to use a calculator. So...
y = 1.9
Therefore, the cube root of 7 is around 1.9. Hope this helps!
Drag each amount to the correct location on the expression
Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900 for 7 days.
Complete the expression to find Joana's average daily balance.
750
1,000
900
30
850
90
) + 10(
) + 71
)
) + 4
( )
Answer:
Average daily balance ≈ $873
Step-by-step explanation:
We are told the balance were;
$1,000 for 9 days
$750 for 10 days
$850 for 4 days
$900 for 7 days
Thus;
Average = ΣFx/Σx
Where ΣFx = (1000 × 9) + (750 × 10) + (850 × 4) + (900 × 7)
ΣFx = $26,200
Σx = 9 + 10 + 4 + 7
Σx = 30
Thus;
Average daily balance = 26200/30
Average daily balance ≈ $873
Answer:
9(1,000) + 10(750) +4(850) + 7(900)
(30)
Step-by-step explanation:
2x-56=34 solve for x
Answer:
x = 45
Step-by-step explanation:
2x - 56 = 34
2x = 34 + 56
2x = 90
x = 45
Answer:
x = 45
Step-by-step explanation:
2x-56=34 add 56 to both sides
2x = 90 divide both sides by 2
x = 45
The area of a circular plate is 625 pi square inches. If the radius of the circle is tripled, what is the area of the new circle?
A).1090 π in²
B).1270 π in²
C).6715 π in²
D).5625 π in²
Answer:
D.) 5625 pi inches squared
Step-by-step explanation:
square root of 625 = 25
25 x 3 = 75
A= pi r(squared)
A= 75squared pi
A= 5625 pi inches squared
Answer: D
Step-by-step explanation:
If a quadratic function is concave down, which of the following is true?
a is positive
a is negative
a is zero
Answer:
a is negative i think
Marking brainliest if you answer all 3 of them n
1) Equation: y = 5x + 1
Missing Value: 51
2) Equation: y = 4x
Missing Value: 28
3) I have no idea for this one... sorry!
Dameon wants to move to a new apartment in his neighborhood. The data shows the monthly rate for the one bedroom apartments in his neighborhood. What is the monthly rent for his apartments?
Answer:
1,010
Step-by-step explanation:
Answer:
1010
Step-by-step explanation:
formula of circumference of a circle
Answer:
C=2πr
Step-by-step explanation:
This is the formula for the circumference of a circle
If this helps please mark as brainliest
PLEASE HELP ME 15 POINTS
1- Which vehicle has the better gas mileage? Explain your reasoning using a line graph comparing the number of gallons to the number of miles covered.
2- Describe the graph:
Produce Stand
Carmen owns a produce stand. She sells fruits and vegetables grown by local
farmers. The list shows the prices of the produce Carmen has available this week.
Price List
Apricots
$1.65/pound
Cucumbers
$0.25/pound
Blueberries
$1.99/pint
Green Beans
$1.80/pound
Cantaloupes
$2.99 each
Yellow Squash
$1.85/pound
Strawberries
$3.75/quart
Zucchini
$1.95/pound
1. Yung is a pastry chef. He needs 18 pounds of apricots and 13 quarts of
strawberries for desserts he is making today.
Part A
Write an expression for the amount Yung will spend.
18 * 1.65 + 13 * 3.75
3) Find the percent of each number
38% of 50=
27% 300=
60% 75=
Answer:19, 81, 45
Step-by-step explanation:
U have $77 in your bank account than you write a check for $100 at the store how many do I have now? Please show work
Answer:
$-23
77 - 100 = -23
a point plotted at 30.05 on a number line which of these describes the location of the point
Answer:
Between 30 and 31
Step-by-step explanation:
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is $
Answer:
I'm pretty sure it's $5.00.
What is the volume of the following image?