Solve x2+8x-10=0 by completing the square. What are the solutions? *answer choices are in the picture
Answers
Answer:
Last option
Step-by-step explanation:
Step 1: Write out equation
x² + 8x - 10 = 0
Step 2: Add 10 to both sides
x² + 8x = 10
Step 3: Complete the Square
x² + 8x + 16 = 10 + 16
(x + 4)² = 26
Step 4: Square root both sides
x + 4 = ±√26
Step 5: Subtract 4 on both sides
x = -4 ± √26
Related Questions
A hot-air balloon starts 6 feet above the ground and then rises 20 feet each minute.
What equation gives the height h in feet as a function of time t in minutes?
A. h=61
B. h=202
С. h = 204 + 6
D. h=6+ 20
Answers
At starting hot-air balloon starts 6 feet.
So, at t = 0 , h = 6 feet.
Now, distance travelled per minute is 20 feet.
So, extra distance travelled in t minutes is 20t feet.
Now,
Total height = Staring height + increase in height w.r.t time.
h = 6 + 20t
Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .
Hence, this is the required solution.
7
(a) Olivia deposits $8600 in a bank. The interest rate is 2.6% per annum.
Find the total interest she will earn in 4 years.
Answers
Answer:
Below in bold.
Step-by-step explanation:
You do not say if the interest is simple or compound.
Simple Interest: I = PRT/100
= (8600* 2.6 * 4)/ 100
= $894.40.
Compound Interest:- amount after 4 years
= 8600(1 + 0.026)^4
= $9529.89
So the compound interest
= 9529.89 - 8600
= $929.89.
Find the sum of the first 15 terms of an ap whose 1st and last term are -4 and 46 respectively?
Answers
#2, no
first year --- 8 = 8*2^0
2nd year --- 16 = 8*2^1
3rd year --- 32 = 8*2^2
...
6th year ---- ??
#3 >>>
can someone please do this ill mark brainliest
Answers
Answer:
-60 im pretty sure this is it
Please help quick!!!!
Answers
Answer:
they all fit correctly
There are 15 pens and 10 pencils in a box. One object is selected at random and then replaced. Another is the selected. Find the probability that:
1. The first object selected is a pen and the second is a pencil
2. One is a pen and the other is a pencil
3. Both are pencils
4. At least one is a pen
Four questions in total
Answers
Step-by-step explanation:
1. P(pen then pencil) = 15/25 × 10/25 = 3/5 × 2/5 = 6/25
2. P(pen then pencil) + P(pencil then pen) = 6/25 + 6/25 = 12/25
3. P(pencil then pencil) = 10/25 × 10/25 = 2/5 × 2/5 = 4/25
4. P(at least 1 pen) = 1 − P(no pen) = 1 − 4/25 = 21/25
need help with this question.. PLEASE HELP!
Answers
x + 84 = 4x
These are equal because they're vertical angles. Now, let's subtract x from both sides.
84 = 3x
Divide both sides by 3
28 = x
x + 84 = 28 + 84 = 112 degrees
Which equation matches the following graph?
Answers
Answer: y = | x-2 | - 1
Step-by-step explanation:
If you graph or look at the numbers included, they match up with the one provided
Question 5 of 10
Solve 2x + 4 > 16.
O A. x<10
O B. x> 10
O C. x>6
O D. x< 6
Answers
Answer:
C
Step-by-step explanation:
2x +4 > 16
If you plug in 6 where the x is, and multiply 2 by 6, you get 12. Add 4 to 12 to get 16. If x is 6 it equals 16, so if x > 6 the answer will be more than 16.
Evaluate ab - 0.50 when a = 1 and b = 5
Answers
Answer: 4.5
Step-by-step explanation:
To evaluate ab - 0.50, we want to plug in the given values for a and b and then solve.
(1)(5)-0.5 [multiply]
5-0.5 [subtract]
4.5
After plugging in the values of a and b, we found that the solution is 4.5.
need help with my words in vocab
Answers
What number should be placed in the box to help complete the division calculation. Pls help
Answers
Answer:
I believe it would be 4
An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?
Answers
Answer:
7.2 gallons
Step-by-step explanation:
2.25 x 3.2 = 7.2
Answer:
7.2
Step-by-step explanation: :>
need help with this 9/11+3/4=?
Answers
Answer:
1.57
Step-by-step explanation:
9/11+3/4
=1.56818181818181.....
=1.57
Answer:
69/44
Step-by-step explanation:
=(9x4) + (3x11)
___________
11x4
=69/44 or 1 25/44
The perimeter of a square is 60. If one side length of the square is X-4, then what is the value of x
Answers
Answer:
X= 19
Step-by-step explanation:
If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.
What is the answer please show work 7x + 4 = 5x + 10
Answers
Answer:
x=3
Step-by-step explanation:
subtract 5x from 7x
subtract 4 from 10
divide 2x and 6 by 2
Answer:
x=3
Step-by-step explanation:
7x +4 =5x +10
7x - 5x =10 - 4
2x =6
x=6 :2
x=3
7 ×3 +4 =5 ×3 +10
21 +4 =15 +10
25 =25
A dot plot shows the
on a number line.
symmetry
cluster
frequency of data
Answers
Answer:
Frequency
Step-by-step explanation:
"A dot plot is a visual display in which each piece of data is represented by a dot above a number line, showing the frequency of each data value. The total number of dots in the plot is the total number of values in the data set. The data points must all be in the same units."
What is the length of side AB of the triangle
Answers
the length of sides AB of the triangle is sum of all sides..
An equation in slope-intercept form is ______
Answers
an equation in slope intercept form is
y=mx+b
Answer:
y=mxb,
cuz the mx stands for slope, and the b stands for y-intercept
An ounce of silver is worth $20.16 per ounce. How much is 13.5 ounces of silver worth?
Answers
Answer:
13.5 ounces of silver is worth $272.16
Step-by-step explanation:
since it is $20.16 per ounce, simply multiply 20.16 and 13.5 to get 272.16
Step-by-step explanation:
Times 20.16 by 13.5 and you will get 272.16
solve for 2(5y-1)=28
Answers
answer: x=3
you divide both side by 2
f(x) = x2. What is g(x)?
Answers
Answer:
I think ot a it been awhile sense I did algebra
I don’t understand this
Answers
Answer: a=x represents sinks
b=the amount of money he will spend overall on the sink and sealent
c= 100x represents 100 sinks
d=joe will have to charge 85 dollars per sink
Step-by-step explanation:
ana wants to paint her dogs doghouse. she has 4 colors: Green,Maroon,blue and wheat. one color will cover the walls and another color will be us for the trim.(for example, green walls with wheat trim=GW). which of these answers show all the possible color conbination
Answers
Answer:
Step-by-step explanation:
Let us take this one by one. One color can pair with three colors.
Green = Maroon, Blue, Wheat = GM, GB, GW
Maroon = Green, Blue, Wheat = MG, MB, MW
Blue = Green, Maroon, Wheat = BG, BM, BW
Wheat = Green, Maroon, Blue = WG, WM, WB
So the combinations are:
GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
Which is letter B.
Answer:
A.
Step-by-step explanation:
The formula a = m – n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon n. A. n = a + m B. n = m – a C. n = a – m D. n = – m – a
Answers
Answer:
n = m - a
Step-by-step explanation:
Given that:
The expression of the formula a = m - n
where;
a = actual cost of an item
m = original price
n = amount of coupon in dollars
The objective is to solve for the amount of the coupon.
In order to determine the amount of the coupon, we need to make n which is the amount of coupons in dollars the subject of the formula from the given expression.
So if a = m - n
a + n = m
n = m - a
can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!
Answers
Answer:
Corresponding angles
Step-by-step explanation:
Corresponding angles are formed when two lines are crossed by another line (which is called the Transversal) So , the angles in matching corners are called corresponding angles.
write 8 is the whole number 11 is the
numerator and 20 is the denominator
Answers
Answer:
Fraction: 8 [tex]\frac{11}{20}[/tex]
Decimal: 8.55
Step-by-step explanation:
8 11/20 is the answer because:
1) Since 8 is the whole number, 8 wouldn't be part of the fraction
2) The numerator is the top number in the fraction, so 11 is at the top since 11 is the numerator
3) The denominator is the bottom number in the fraction, so 20 is at the top since 20 is the denominator
8.55 is the answer because:
1) Since 8 is the whole number, 8 would be in front of the decimal point
2) When you multiply the fractions, you have to multiply until you get a hundred. Therefore, 20*5 = 100 and 11*5 = 55
Hope this helps!
Now, graph the equation x - 2y = 7 below the
equation 8x - 4y = 56
What are the coordinates for x and y at the
intersection of the two lines?
Answers
Answer:
(7,0)
Step-by-step explanation:
True or false: To determine the absolute value of a number, you can count how many units it is from zero.
Answers
Answer:
True the absolute value is how many digits away the number is from zero.
Step-by-step explanation:
Jerry is counting his shirts. he notices that for every 5 black t-shirts in his drawer he has two red t-shirts. if he owns 28 t-shirts how many black t-shirts does jerry own?
Answers
Answer:
20
Step-by-step explanation: