−2x=x2−6 Rewrite the equation by completing the square.
Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
Scientific notation of 48200
Answer:
4.82 × 10^4
Step-by-step explanation:
I need help on this pls help meh
Answer:
the missing side T-F is 8. the missing side F-K is 3.
Step-by-step explanation:
hope I helped
Answer:
(SR*ST)+(FK*KL)=66cm²
Step-by-step explanation:
RL=ST+F K
9= 6+x
F K=3
T F=8
Area of this figure= (3*2)+(6*10)
=6+60=66 cm²
im using all my points for this pls help
A. The area of a square is 196 cm.?. What is the length of each side?
B. The area of a rectangle is 94.5 in.. The length is 9 inches. What is the
width?
What is the answer to a and b
Answer:
A. 14 cm
B. W== 0.5in
Step-by-step explanation:
Hope this helps
ORDER
ORDER OF OPERATIONS
21 divided by 3 +4
Answer:
11
Step-by-step explanation:
21/3+4
7+4
11
.......
Which description matches the function represented by this graph?
A. exponential growth
B. linear growth
C. linear decay
D. exponential decay
Answer:
your answer will be option D. exponential decay
Step-by-step explanation:
have a nice day/ night bye ^_^
What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic foot?
Answer:
V=π(d
2)2h=π·(12.8
2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so
Tania earns $16 per hour at the Glendale Florist. She regularly works 40 hours per week.
She is paid time-and-a-half for each hour of overtime work. Last week she worked 43
hours.
7) How much was she paid for her regular hours?
a $600
b. S520
C. S640
Answer:
$640 is how much she will make in in regular hours.
Step-by-step explanation:
Create an equation from the word problem and solve.
Option A is correct, $640 is the pay for her regular hours.
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
Given that Tania earns $16 per hour at the Glendale Florist.
She regularly works 40 hours per week.
She is paid time-and-a-half for each hour of overtime work
Last week she worked 43 hours.
We need to find the payment she received for her regular hours.
16h is the expression to find the pay for h hours.
As she work for 40 hours.
Now plug in h as 40.
16×40
$640
Hence, option A is correct, $640 is the pay for her regular hours.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
PLEASE SOMEONE HELP ME! I NEED THE ANSWER ASP
The water spray from a spinning lawn sprinkler covers a circular area of 196π square feet. If Ray is standing 30 feet away from the sprinkler as it is spraying water, which of the following statements is true?
A. Ray will get wet because the sprinkler sprays an area with a radius of 196 feet and 30<196.
B Ray will stay dry because the sprinkler sprays an area with a radius of 14 feet and 14<30.
C. Ray will stay dry because the sprinkler sprays an area with a radius of 28 feet and 28<30.
D. Ray will get wet because the sprinkler sprays an area with a radius of 98 feet and 30<98.
Answer: B
Step-by-step explanation:
196π=πr^2
196=r^2
14=r
14<30
If the original square is 3 in by 7 in, but then you enlarge the square to 6 in by 14 in, what percent of the smaller original square's area is the larger square's area?
Answer:
Step-by-step explanation:
100(14(6))/(3(7))
100(84/21)
100(4)
400%
triangle ABC is similar to triangle EHG , find the measure of angle EHG .
Answer:
[tex]\angle EHG = 80[/tex]
Step-by-step explanation:
Given
ABC ∼ EHG
See attachment
Required
Determine [tex]\angle EHG[/tex]
First, we calculate x in ABC
[tex]x + 2x + 60= 180[/tex]
[tex]3x + 60= 180[/tex]
[tex]3x = 120[/tex]
[tex]x = 40[/tex]
The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]
and
[tex]\angle ABC = 2x[/tex]
[tex]\angle ABC = 2 * 40[/tex]
[tex]\angle ABC = 80[/tex]
Hence:
[tex]\angle EHG = 80[/tex]
help if u mayy:)))))))
Answer:
R= 16
M= -12
N= -4
Step-by-step explanation:
what you need to do next time is when you figer out one of the numbers see what it is multiplying by so you know what the numbers would be
Have a nice week. Please mark as brainllest
[o]-[o]
\___/
1) calcula a.b , si 120 =1+2+3+... +ab
Answer:
ab=195
Step-by-step explanation:
can y’all please help. I will send points if you want me to.
Answer:
the third one has a 2 acute angles 2 abuse angles and the x value is 110
Step-by-step explanation
the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
An accountant rents three notebook computers for temporary workers
to use during tax season. The total rental amount is $2,750. The
accountant makes monthly payments of $1,100.
How many payments does the accountant make?
How much interest does the accountant pay on the rental?
Answer:
possibly $1
Step-by-step explanation:
don’t know how to explain but I hope this helps
Answer:
4454
Step-by-step explanation:
I need help on this pls
Answer:
Area= 56 cm²
Step-by-step explanation:
Figure given is a rhombus
Area= 1/2*d1*d2
Find the surface
area of 11mm 8mm 22mm
Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.
Step-by-step explanation:
Find the value of i^9
Answer:
The answer is i (i^9)
Step-by-step explanation:
Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)
Step-by-step explanation:
<c =90 °
So, Pythagoras theorem can be used,
Hypotenuse ² = base ² + altitude ²
AB²=AC²+BC²
11²=AC²+4²
11²-4²=AC²
121-16=AC²
Root 105=AC
AC=10.2 cm
The length of AC is 10.25 cm
What is pythagorean theorem ?
If ΔABC is a right angle triangle, then
AB² = BC²+AC²
where AB = Hypotenuse, BC & AC are adjacent sides of the right angle
What is the required length of the side ?Given, hypotenuse = AB = 11 cm
One of adjacent sides = BC = 4 cm
We have to find the length of AC.
Using pythagorean theorem,
AB² = BC²+AC²
⇒ AC² = AB² - BC²
⇒ AC² = 11²-4²
⇒ AC² = 121-16
⇒ AC = √105
⇒ AC = 10.25
So the length of AC = 10.25 cm
Learn more about pythagorean theorem here :
https://brainly.com/question/343682
#SPJ2
What is the value of the expression below when z=6z=6?
2z2 -8z-2
A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?
Answer:
60 gallons
Step-by-step explanation:
144/12 = 12 mi/gal
720/12 = 60
HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.
Answer:
3.8 quarts
Step-by-step explanation:
identify the vertex of the function graphed below.
A. (3,1)
B. (0,-2)
C. (1,1)
D. (2,2)
Answer:
D. (2,2)
Step-by-step explanation:
I did the test and I got it correct. :DD
Please help
1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the
viewing platform as 37º. How far up the tower is the viewing platform?
Answer:
41.4feet
Step-by-step explanation:
Using the SOH CAH TOA identity
Given the following
Distance of Rafael from the tower = 55feet = Adjacent
Angle of elevation = 37degrees
Required
Height of the tower = Opposite
Since Tan theta = opp/adj
Tan 37 = x/55
x = 55tan37
x = 55(0.7536)
x = 41.4
Hence the tower is 41.4feet up the viewing platform
Please help me with this question!
Answer:
Your Answer Is 10
Step-by-step explanation:
1st Factor the Numerator and Denominator then cancel the common factor.
Hope It Help You If Yes then Please make me the Brainiest.
Thank You
Parshv
In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24
Answer:
Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.
Step-by-step explanation:
What is a congruence statement? PLEASE ANSWER HURRY
Answer:
A congruence statement says that two polygons are congruent.
Step-by-step explanation:
To write a congruence statement, list the corresponding vertices in the same order.
Will the product of two positive numbers be positive or negative? Why?
PLEASE HELP1!1!1!1!!1
Answer:
Positive
Step-by-step explanation:
Two positive integers multiplied will always be positive.
Answer:
Positive
Step-by-step explanation:
two positive will always be a positive because of the rule of multiplication
please help will ill brainiest if correct
Answer:
The answer would be -4.
Step-by-step explanation:
yeah I didn't do too good on that unit with the integers kind of thing so, yeah....
how I did this question: imagine if you owe someone $9 but you only have $5 so you give them those $5 so now you only owe them for dollars.