Amil is given the equation shown.
x2 + 14x + 37 = 0
He completes the square and rewrites the given equation. Which equation is
equivalent to the given equation?
A.
(x + 7)2 – 12 = 0
B.
(x – 7)2 – 12 = 0
C.
(x + 7)2 + 12 = 0
D.
(x – 7)2 + 12 = 0
The equation equivalent to the Amil equation is (x + 7)² - 12 = 0 thus option (A) is correct.
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given Amil equation,
x² + 14x + 37 = 0
Add 12 on both sides,
x² + 14x + 37 + 12 = 0 + 12
x² + 14x + 49 = 12
(x + 7)² = 12
(x + 7)² - 12 = 0
Hence "(x + 7)² - 12 = 0 represents the Amil equation's equivalent".
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What is the volume of the prism.
If angle 2 is 45 degrees, what is the measurement of angle 4?
Answer:
angle 4 = angle 2{opposite angles are equal} =45 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
Angle 4 is an exterior angle which corresponds to the remote interior angles of 33 degrees and 75 degrees. Through the remote interior angle theorem, we can add the remote interior angles to get the exterior angle So we simply add 33 and 75 to get 33+75 = 108 If you chose not to use this theorem, then you can find angle three by using the fact that all three angles of the triangle must add to 180 degrees. So, 33+75+(angle 3) = 180 108+(angle 3) = 180 108+(angle 3) - 108 = 180 - 108 angle 3 = 72 degrees Then use the fact that angle 3 and angle 4 are supplementary (angle 3) + (angle 4) = 180 72 + (angle 4) = 180 72 + (angle 4) - 72 = 180 - 72 angle 4 = 108 degrees either way, we get the same answ
How many cubes with side lengths of 1/2 cm does it take to fill the prism?
Length:3
Width: 1
Height: 1
Answer:
3???
Step-by-step explanation:
hope this helps
Can someone help me ;-;
With any questions, it doesnt have to be all of them-
Gabby made a sandwich that is 0.20 meter long. Each bite that she takes has a length of 0.03 meter.What is the length of the sandwich that remains after Gabby takes 3 bites?
Answer:
0.11 meter
Step-by-step explanation:
0.20m - (0.03m x 3)
0.20m - 0.09
0.11m
AME SCENARIO - DIFFERENT QUESTION
The owner of a new coffee shop is keeping track of how much each customer spends (in dollars). One hundred of these amounts are shown in the table below. These amounts will form the population for this question.
dollar amounts
A random number table was used to generate the following random sample of dollar amounts:
7.43, 5.38, 6.39, 6.53, 4.72, 5.58, 3.63, 7.43, 5.29, 5.70
What is the mean of the given random sample? Round your answer to the hundredths place.
Question 4 options:
$5.8
$5.81
$5.80
$5.00
Lisa drinks 20 fl oz of water after she runs 1 mile. She wants to make a table to see how much water she will need to drink as she increases the number of miles she runs. What will the row look like for 5 miles?
Answer:
20=1
She drinks 20 fl oz per 1 mile she runs.
5x20=100
Your answer is C) 100.
dexter deposited $6,300 into a savings account that earns 2.60% simple interest per year. how much will he earn in 4 years?
Answer:
= $655.20
Step-by-step explanation:
Simple Interest =( Principal * rate * time)/100
=( $ 6300 * 2.60% * 4years)/100, workout in the brackets first then divide by 100.
= 65520/100
= $655.20
Dexter will earn $655.2.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
Formula to calculate the simple interest is;
S.I. = P x T x R / 100 ,
Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.
Dexter deposited $6,300 into a savings account that earns 2.60% simple interest per year.
P = $6300
R = 2.60% and T = 4 years
Then by the formula;
6300 x 2.6 x 4 /100
= $655.2
Therefore, Dexter will earn $655.2.
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can someone plz help me with this i will give brainliest
Answer:
for the 180 rotation question,it wouldnt be a rotation from the origin since it clearly looks lower and for the 2nd question,A' most likey be on the same spot,B' would be at (0,-2),C' would be at (0,-4),and D' would probably be at the spot B is currently in hopefully I helped you good luck
Please help me!! ill mark you brainliest. please actually answer all of em.
Answer:
1-a
2-a
3-b
Step-by-step explanation:
hope that helps
The measures of two adjacent angles have a ratio of 2:3. The sum of the measures of the two adjacent angles is 145. What is the measure of the larger angle.
Please help me i'll mark you brainlest or whatever.
help last question I think
Answer:
For every 10 blondes there are 6 brunettes, for every 5 blondes there are 3 brunettes
Step-by-step explanation:
20 blondes for every 12 brunettes is equivalent to the answers I gave
Help me??? please?? thank youuu
Answer:
B
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Supplementary angles have a sum of 90 degrees.
a+52=90
a=90-52
a=38 degrees
. If it takes $36 to mow 4 yards of lawn, what is the cost of mowing 13 yards of lawn?
Answer:
117
Step-by-step explanation:
plz, help!!! I have no idea what I need to do or how!
Answer:
Download photomath, or mathpapa
and for the graphing download graphing calc
it helps allot :)
Answer:
(2,-2)
(-2,0)
(4,1)
Step-by-step explanation:
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?
8 more girls; 3 for every 5
There are _ boys and _ girls in the class.
Answer:
16 girls
8 boys
Step-by-step explanation:
Answer:
There are 8 boys and 16 girls
Step-by-step explanation:
3 + 5. 8
8 plus 8 16
Please help me solve this
Answer:
The answer is that angle 1 is 70 degrees.
Step-by-step explanation:
Alright so all vertical angles are congruent and the sum of all angles IN and triangle equals 180 degrees. So, the angle on the inside of the top of the triangle is 60 degrees because vertical angles are congruent. Now the angle across from the 130 degree angle is 130 degrees, and we know that the outer and inner angles are supplementary, (add up to 180 degrees) so the angle on the inside is 50 degrees. Then, all angles of a triangle equal 180 degrees therefore, 180-(60+50)= the final angle. Now 70 degrees is the last angle and this angle is vertical to angle 1 which means that angle 1 equals 70 degrees.
Find the value of x in this figure
Paxton has completed 2/3 of the math questions on his homework. If Paxton has completed 8 math problems so far, write and solve an equation to find, n, the total number of problems on his homework. (Please show work!)
giving brainliest!!!!!!!!!!!!!!
Answer:
C.
Step-by-step explanation:
The mean is figured out by using this formula: sum/size. The mean here is 4
The median is basically the middle number. The middle number here is 5.
5 > 4 The median is greater than the mean, 4.
Solve each system by substitution. please help me
2x{+y=6
x{+y=3
Which is not a solution to x + 6 < 20?
a. 11
b. 9
C. 14
d. 13
PLEASE HELP
check #4, explain. i need answers.
Please help me!!!
What is the value of x?
Enter your answer in the box.
Answer:
39°
Step-by-step explanation:
You would do 39+102 Which equals 141°
Because a triangle has 180° in it you would then do 180-141 which is 39°
Answer: The answer is 39
Step-by-step explanation:
39 + 102 = 141
180 - 141 = 39
Sam drew a rectangle measuring 9 feet in length by 15 feet in width. If she wants to make a similar rectangle measuring 27 feet in length, what should the width be?
Answer:
45
Step-by-step explanation:
If sam made a rectangle 9 feet in length and 15 in width. And we already know the next rectangle is 27 feet we can divide it by 9.
27/9=3
Now that we know its 3x the normal size we can grab the 15 and multiply it by 3.
15x3=45
PLs awnser all 3 questions thank you
Store A sells boxes of rice for $2.50 each.
Store B sells rice by the pound for $2.50 per pound.
The cost of an amount of rice at either store can be modeled by the function c(n) = 2.5n, where n is the number of boxes for Store A and n is the number of pounds of rice for Store B.
The domain of c(n) = 2.5n is all the real numbers.
For each store, drag the restriction needed on values of n for c(n) to model each situation.
Answer: the answer might be 7b.
Step-by-step explanation:
A scale model drawing of a backyard is 6 centimeters wide and 8 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.6 meters.
What is the area of the actual backyard?
*if you can please explain how you got the answer I get confused on these questions*
11.52 m²
22.40 m²
30.72 m²
48 m²
Answer:
First you need to divide 1.6 by 2 to get .8 then multiply
.8 x 6 = 4.8
.8 x 8 = 6.4
Then multiply 4.8 by 6.4 and get 30.72
Step-by-step explanation: