Answer:
x²+8x+16=24
Step-by-step explanation:
x²+8x=7 (+16)
x²+8x+16=7+16=24
(x+4)²=24
The values to be entered in the boxes are 16 and 23.
Given the equation is [tex]x^2[/tex]+8x=7
To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.
First, take half of the coefficient of the x-term (8) and square it:
[tex](8/2)^2[/tex] = 16
Now, add 16 to both sides of the equation:
[tex]x^2[/tex] + 8x + 16 = 7 + 16
Simplifying:
[tex]x^2[/tex] + 8x + 16 = 23
Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23
The values to be entered in the boxes are 16 and 23.
Hence, [tex]x^2[/tex] + 8x + 16 = 23.
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Ashin has been working in UAE for a decade and saved AED 125,500 which he wants to transfer now to his parent's account in India. Keeping in mind the AED – INR exchange rate for the day, which is AED 1 = 20 (approx.), find the amount of money which Arshad's parents will withdraw in India.
Answer:
2510000 INR
Step-by-step explanation:
Given
[tex]Savings = AED 125500[/tex]
[tex]1\ AED =20\ INR[/tex]
Required
The amount that will be withdrawn in India
We have:
[tex]1\ AED =20\ INR[/tex]
Multiply both sides by the savings
[tex]125500 * 1\ AED =20\ INR * 125500[/tex]
[tex]125500\ AED =125500 * 20\ INR[/tex]
So, we have:
[tex]125500\ AED =2510000\ INR[/tex]
Hence, the amount that will b withdrawn is: 2510000 INR
someone please help im gonna fail
Answer:
The order will be 2, 3, 4 & 1
Answer:
Juana lee Ann Jackson ryne
Step-by-step explanation:
can i have brainly
plz help what is the slope of this line shown?
Answer:
slope= -3
Step-by-step explanation:
i hope this helps :)
solve for x PLEASE HELP
Answer:
x=5
Step-by-step explanation:
11^X=11²×11³
11^X=11^5
x=5
Answer:
Anwer is x=5
Step-by-step explanation:
11^x-3=11
11^x-3= 121
x-3=2
add 3 both side
x=5 help this help 5 star please :)
If the measure of arc AD is 65 degrees and the measure of arc BC is 45 degrees, what is the measure of angle BEC?
Answer:
[tex]\angle BEC=55 \textdegree)[/tex]
Step-by-step explanation:
From the question we are told that:
Arc [tex]AD =65 \textdegree[/tex]
Arc [tex]BC =45 \textdegree[/tex]
Given The angle of intersecting chords theorem
Generally the equation for angle BEC is mathematically given by
[tex]\angle BEC=\frac{1}{2} (\angle of arc AD+\angle of arc BC)[/tex]
[tex]\angle BEC=\frac{1}{2} (65 \textdegree+45 \textdegree)[/tex]
[tex]\angle BEC=55 \textdegree)[/tex]
20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates and 11 diplomas how many have a school certificate only
Given:
Either has a school certificate or diploma or even both = 20 people
Having school certificates = 14
Having diplomas = 11
To find:
The number of people who have a school certificate only.
Solution:
Let A be the set of people who have school certificates and B be the set of people who have diplomas.
According to the given information, we have
[tex]n(A)=14[/tex]
[tex]n(B)=11[/tex]
[tex]n(A\cup B)=20[/tex]
We know that,
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]20=14+11-n(A\cap B)[/tex]
[tex]20=25-n(A\cap B)[/tex]
Subtract both sides by 25.
[tex]20-25=-n(A\cap B)[/tex]
[tex]-5=-n(A\cap B)[/tex]
[tex]5=n(A\cap B)[/tex]
We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].
[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]
[tex]n(A\cap B')=14-5[/tex]
[tex]n(A\cap B')=9[/tex]
Therefore, 9 people have a school certificate only.
answer for brainlest and 10 points
Answer:
Rational
Step-by-step explanation:
any number that can be written in fraction form is a rational number
hope this helps
The size and shape of a figure will stay the same after a translation is performed.
o True
o False
Answer: true
Step-by-step explanation:
True, because translation means just to move a figure, not to change a shapes's size, width, height, or any other property of the shape.
Help on this complete the square problem.
[tex]x^2+3x+7[/tex]
The midpoint of AB isM(2,5). If the coordinates of A are (−3,6), what are the coordinates of B?
Answer:
(7,4)
Step-by-step explanation:
Midpoint Formula = [tex](x_{1} + x_{2}/2)=[/tex] x coordinate of midpoint
same for y coordinate of midpoint
so
2=-3+x/2
4=-3+x
x=7
for y
5=6+y/2
10=6+y
y=4
therefore B(7,4)
solve each of the following equations show solution set on a number line 3x-1=8
Answer:
x=3
Step-by-step explanation:
here u go!!! :)
answer
I’ll mark brainliest. I really need help on this pleaseee!!
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form
Answer:
Step-by-step explanation:
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form
PLZZ HELP ILL GIVE BRAINLIST
plz help with both questions (no link plz) 15 point and will make brainly
Answer:
question 5) 340.5
Step-by-step explanation:
abigails decorating buissness charge for every hour = $100+$13.50= 113.5
for 3 hour charges will be= 113.5 x 3= 340.5
hope it helps ❤️
PLS, I NEED HELP ASAP!!
Answer:
3x+18
Step-by-step explanation:
3 times x
3 times 6
3x
18
3x+18
which is an example of growth and decay:
f(x)=250(0.87)x
f(x) = 15 (1.25)x
Answer:
Both or neither
Step-by-step explanation:
If you input them into a calculator, then they have very similar slopes, and both go the same direction.
Sorry that I can't give you an absolute answer.
Hope that this helps!
Consider the figure to the right.
T
Given: CT PM, CT 1 PM
Prove: CA - MA
А,
P4
M
Shown below are the statements and reasons for the proof.
They are not in correct order.
Statements
Reasons
1.
ACAT AMAP
AAS
II.
LCAT ZPAM
Vertical Angles Theorem
III.
CT & PM, CT || PM
Given
IV.
CAMA
CPCTC
V.
LCTA E LMPA
Alternate Interior Angles Theorem.
Which of these is the most logical order for the statements and reasons?
(А.
I, II, III, IV, V
Answer:B
Step-by-step explanation:
Just did it on math nation
The most logical order for the statement and reasons III, II, V, I, IV. Therefore, option B is the correct answer.
CP=PM, CT||PM (Given)
∠CAT=∠PAM (vertical angles theorem)
∠CTA=∠MPA (Alternate interior angles theorem)
ΔCAT≅ΔMAP (AAS)
CA=MA (CPCTC)
The most logical order for the statement and reasons III, II, V, I, IV. Therefore, option B is the correct answer.
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How do I do this problem
Answer:
The Ross family used it for 15 hours
The Watson family used it for 20 hours
Step-by-step explanation:
We can rewrite this word problem using variables.
[tex](x*40)+(y*20)=1000[/tex] and [tex]x+y=35[/tex]
Now we can split 35 between x and y. Since 35 can't be split into a whole number, I have split it into 17 and 18
(17*40) + (18*20) = 1040
This is close but 40 too much. Since this is 40 off, we need to move 2 more hours to the Watson family.
(15*40) + (20*20) = 1000
This means -
The Ross family used it for 15 hours
The Watson family used it for 20 hours
Learning task 3
What polygon is being described in the picture
Are the ratios 4:1 and 14:3 equivalent?
Answer:
False
Step-by-step explanation:
NO they are not equivalent
You want to take 12 shirts, but you can only fit 3 in your suitcase. How many different ways can you choose shirts to pack?
Answer:
220 ways.
Step-by-step explanation:
This can be gotten by using the formula of combination in statistics.
The formula for combination is given below
nCr = n! / r!(n - r)!, where
r = total number of object, and
n = number of objects we're choosing from
Applying this to the question we have
12C3 = 12! / 3!( 12 - 3)!
12C3 = 12! / 3! * 9!
12C3 = 220
Therefore, we can choose to pack the shirts in 220 different ways
PLZZ HELP WITH THIS HOMEWORK
If f(x)= -9x+12, then f(20)=__
What is the answer?
Answer:
-168
Step-by-step explanation:
if this is right but hopefully
what does the word "solution" mean has to be in your own words please help
Answer:
an answer to a problem
Step-by-step explanation:
What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)
Answer:
There is a vertical stretch when I graphed it.
Step-by-step explanation:
Hope this helps:)
A lighthouse can light up to 40 miles away through an angle of 125 degrees. What area can the lighthouse light? Round your answer to the nearest tenth.
Answer: 12
Step-by-step explanation:
PLEASE HELP 50 POINTS
The angle measurements in the diagram are represented by the following expressions.
Answer:
30°Step-by-step explanation:
A and B are same side interior angles and hence supplementary:
m∠A + m∠B = 180°Substitute values and solve for x:
6x - 18 + 14x + 38 = 18020x + 20 = 18020x = 160x = 160/20x = 8Find the measure of ∠A:
m∠A = 6*8° - 18° = 30°Question (point
Find the volume of the pure below leave in terms of IT for answers that contain T Round your answer to the nearest hundredthir
necessary
811
101
214.21 10
186,67
115.78
Od
560
Question 61 point)
Answer:
186.67 ft³
Step-by-step explanation:
Volume of a pyramid
= [tex]\frac{1}{3} [/tex] × base area × height
The volume of the pyramid
[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]
[tex] = \frac{1}{3} \times 80 \times 7[/tex]
[tex] = 186.666...[/tex]
= 186.67 ft³ (rounded to the nearest hundredth)
Which of these tables represents a function?
Answer:
Table W represents a function
Step-by-step explanation:
Mathematically, for us to have a function , no two y-values can take a single x value
But it is possible that two x-values have a single y value
So let us make a selection from the table
We have the correct option as;
W