Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87
Answers
Answer:
3rd option
Step-by-step explanation:
(x + 7)(x - 9) = 25 ← expand left side using FOIL
x² - 2x - 63 = 25 ( add 63 to both sides )
x² - 2x = 88
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 88 + 1
(x - 1)² = 89 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{89}[/tex]
Related Questions
Write the equation of the line graphed below in slope-intercept form.
Answers
Answer:
y=1/2x+3
Step-by-step explanation:
grabbing two points in this case (0,3) and (2,4)
we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2
to get the y intercept just look at where the line touches the y line in this case at 3
using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers
so we get y=1/2x+3
You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to
find the measures of the angles described.
The measure of an angle increased by 24° is equal to the measure of its complement.
The measure of the angle is
Jº and the measure of its complement is
Answers
Answer:
33°90° -J°Step-by-step explanation:
1)If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...
x +24 = 90 -x
2x = 66 . . . . . add x-24
x = 33 . . . . . . divide by 2
The measure of the angle is 33°.
__
2)Using J for x in the given complement relation:
The measure of the complement of J° is (90 -J)°.
A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.
Answers
Answer:
12.5 hours
Step-by-step explanation:
[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]
The student worked for 12.5 hours.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A student earns $8 per hour plus a $15 bonus each weekend day worked.
Now, let the student works for h hours.
So, the earning would be= 15+ 8h
As, he earned $115
So, 15+ 8h= 115
8h = 100
h = 12.5 hours
Hence, the student worked for 12.5 hours.
Learn more about Algebra here:
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6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answers
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
All of these statements are true EXCEPT which one?
A.
Answers
Answer:
Optio a is rhe right one
i m not sure
Answer:
where's the choices
Step-by-step explanation:
complete your question
Graph the solution to the inequality on the number line.
p<20.2
help
Answers
Answer:
it is an open circle on 20.2 and is going to the left
Step-by-step explanation:
I hope this helps :)
whats the answer pls
Answers
Answer:
y=0.75x-1
Step-by-step explanation:
what two decimal
are between the square root of 62
Answers
Which 2 values are greater than 3/5?
1/4
0.68
2/3
0.599
1/2
Answers
The answer is 0.68 and 2/3
Hoped that helped
what is the slope of the line
Answers
Which of the following is equivalent to:
−−(2+5)−(3−7)?
Answers
Answer:
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
Step-by-step explanation:
A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?
O 20
O 5
02
O 16
Answers
The sample standard deviation is 2. Therefore, the correct answer is option C.
Given that, a sample of n=5 scores has M=20 and s²=4.
The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.
The standard deviation is simply the square root of the variance;
Here, [tex]s=\sqrt{4}[/tex]
[tex]s=2[/tex]
Therefore, the correct answer is option C.
Learn more about the standard deviation visit:
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I will give up to 40 points if you help answer 5 questions
Answers
Answer:
SSSthe answer is ASAS1, 2, 3, 4, and 5using alternate interior angles theorem on angles A and C, verticle angles theorem on angle O, and the Parallelogram Diagonals Theorem Converse you can prove triangles ADO and BOC are similar. Then using CPCTC "Corresponding parts of congruent triangles are congruent" you can prove that line segment AO is congruent (equal) to line segment COStep-by-step explanation:
if my answer helps plz give me brainliest :)
Answer:
I hope this helps. I'm sorry in advance if it isn't.
Step-by-step explanation:
1) SSS
2) The first bullet point
3) SAS
4) They are congruent by SAS, ASA
5) Segment AO is congruent to segment CO because:
The diagonals AC and BD both have O as the intersection point. AC = BD since the geometric means of the legs is equal. Thus AO is congruent to CO
A _______ is a variable, an integer or a product of variables and
integers.
Answers
I’m a right or nah.
Helppp
Answers
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
Hellooo, is this simple graphing or do I have to like solve something
Answers
Answer:
Just graph the points
Step-by-step explanation:
no need to solve anything
Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.
Answers
Answer:
60 degrees
Step-by-step explanation:
4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking
helpp
Answers
Answer:
if you find the age of bob the rest is easy
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
27.2 ft
Step-by-step explanation:
similar triangles
51/90=x/48
x=27.2 ft
Urgent!
<6 and what angle are corresponding angles?
Answers
Answer:
11
Step-by-step explanation:
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
find the perimeter of a regular pentagon with each side measuring 6cm.
Answers
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
negate the following statements.
Answers
The earth is not the center of the solar system
Angle A and angle B are not congruent
The money you gave me was not enough
She is enjoying her time
I did bring the key
I hope this helps.
100 POINTS PEOPLE!!!!!
Answers
Answer: Poggers, what if i did 2000 points???
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.
WILL GIVE BRAINLY TO FIRST ANSWER
Answers
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
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At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation.
AND
Solve the system and interpret the answer.
Your Answer:
Answers
Answer:
[tex]x + y = 42,[/tex]
[tex]4x + 14y = 568,[/tex]
[tex]x = 2, y = 40[/tex]
Step-by-step explanation:
Learn the FULL explanation at: https://brainly.com/question/25629296
I am asking how this is when I found the median is 14!
Answers
Hi there!
2 3 5 5 9 11 13 14 14 17 20 22 24 28
If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.
Count 6 from both sides and we get the middle two numbers to be:
13 14
Take the average:
(13 + 14)/2 = 13.5
**This must be done if the amount of numbers given is EVEN.**
Answer:
Step-by-step explanation:
There are an even number of entries that make up the Data Set. (14 entries)
When you have an even number, you take the two entries that are at the center to find the median.
The values at the middle are entry seven which is 13 and entry eight, which is 14.
Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5
Otherwise I think you are correct.
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))
Answers
Answer:
868,412 visitors
Explanation:
434,206 x 2 (double)
NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination.
x = -2
3x + y = 8
Answers
x = −2
Step: Substitute −2 for x in 3x + y = 8:
3x+y=8
(3)(−2)+y=8
y−6=8(Simplify both sides of the equation)
y−6=8 (Add 6 to both sides)
+6 +6
y = 14
Answer:
x = −2
and
y = 14
Find the surface area of a cylinder with radius 8m and height 5 m
Answers
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
Find the surface area of the rectangular prism. 7 m 4 m 5m
Answers
Answer:
A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166
Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166
Step-by-step explanation: