Solve, by completing the square, x^2=22x-5, leave your answer in surd form
Answer:
a) The complete square form = ( x-11)² = 116
b) x = 11 + 2√29
Step-by-step explanation:
Step(i):-
Given equation x² = 22x -5
⇒ x² - 22x + 5 =0
⇒ x² - 2× 11 x + (11)² -(11)² + 5=0
⇒ ( x- 11)² -121 +5 =0
⇒ ( x-11)² = 116
The complete square form = ( x-11)² = 116
Step(ii):-
⇒ (x-11) = √116 = √29 ×√4
⇒ x-11 = 2√29
⇒ x = 11 + 2√29
Pls help me I need to pass
How do I find the area of a trapezoid?
Answer:
Step-by-step explanation:
Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.
The two parallel sides are the bases, and height, as always, is the perpendicular distance from one base to the opposite. The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2).
2x - 3y = 2, 4x + 7y = -9.
Step-by-step explanation:if you like it press thank you ❤❤❤
2x-3y=2 4x+7y= -9
2x=2+3y
2x=2+3y
2 2
x=2+3y 4(2+3y) + 7y= -9
2 2
8+12y + 7y= -9
2
8+12y+14y = -9
2
8+12y+14y= -18
26y= -26
26y = -26
26 26
y= -1
4x+7(-1)= -9
4x+(-7)= -9
4x-7= -9
4x = -2 now lets check,4(-1) + 7(-1)= -9 or 2(-1)-3(-1)=2
4 4 2 2
x=-1 -4 +(-7) = -9 -1-(-3)=2
2 2 -1+3=2
-2-7= -9 2=2
-9= -9
so the answer is x= -1 and y= -1
2
if manuel deposits 25% of $130 into a saving account
Answer:
25% = 25/100 = .25
25% of 130 = .25(130) = $32.50
$32.50
if thats what you were saying
Step-by-step explanation:
Answer:
He will have deposited $32.50 and kept $97.50
Step-by-step explanation:
solve 2(x + 3) = x-4 pls <3
Answer:
Step-by-step explanation:
Step 1
Having all the
x
terms on one side of =
Subtract
2
x
from both sides
2
x
−
2
x
+
3
=
3
x
−
2
x
−
4
0
+
3
=
x
−
4
Swap round
x
−
4
=
3
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step 2
Have just
x
on the left of =
Add
4
to both sides
x
−
4
+
4
=
3
+
4
x
=
7
plz help!! A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was recorded, and the marble was placed back in the jar. The table shows the results after 60 trials. What was the relative frequency of selecting a red marble? Outcome Number of times outcome occurred Red 13 Green 30 Blue 17
Give your answer as a fraction in simplest form.
Answer:
To calculate the relative frequency, first we need to know what exactly is and how to calculate it.
Relative frequency is the ratio between the absolute frequency (how many repetitions have a specific outcome) and the total outcomes. Also, this type of frequency is used to show the representation that some data have over the whole distribution.
So, in this case, we need to just divide 13, which belongs to red marble's results, to 60 which is the total outcomes, as it's presented:
13redmarble Fr = -------------------------
60 totalmarbles
Normally, relative frequency is shown as a percentage multiplying this result by 100. Therefore, 22% is the approximate percentage of the relative frequency, which means that 22% is the representation of red marbles outcomes of the whole distribution, or we can say it as a probability: there's 22% of chances when someone extract a marble, it will be red.
The label on a \frac{1}{4}
4
1
-pound bag of seeds states that it will cover an area of 7575 square feet. How many square feet do the seeds cover per pound?
Answer:
[tex]183.63[/tex] square feet area is covered by seeds per pound
Step-by-step explanation:
Given
[tex]41\frac{1}{4}[/tex] pound bag of seed cover an area of [tex]7575[/tex] square feet
[tex]\frac{165}{4}[/tex] pound bag of seed cover an area of [tex]7575[/tex] square feet
Or
[tex]7575[/tex] square feet area is covered by [tex]\frac{165}{4}[/tex] pound bag of seed
Area in square feet covered by one pound bag of seed
[tex]= \frac{7575}{\frac{165}{4} } \\= \frac{7575 * 4}{165} \\= 183.63[/tex] square feet
3x + 5 < -16 or -5x – 8 < -13
Answer: -5x-8<-13
Step-by-step explanation:
please help will mark brainlyist
Solve the inequality 5p -3 < 7 + 3p for p
Step-by-step explanation:
p<5 that's the answer for the question
If P (A) =24/33
what is the value of P (A')?
Answer:
Every Maths Que can Solve by ABi Nandan Logics
complete the equation of the line through (-8,-2) and (-4,6).
use exact numbers.
y= ?
Answer:hey
Step-by-step explanation:
The quotient of a number and 2 is 3. Find the number.
Answer:
6
Step-by-step explanation:
6 divided by 2 is 3
PLEASE HELP IM CRYING Find the vertex of f(x)=(x+1)(x-6)
Answer:
(1/2,−25/4)
Step-by-step explanation:
just did this problem
Calculate the median of the data set {27, 33, 42, 26, 27, 41, 25, 40, 29}
A. 17
B. 27
C. 29
D. 32
Answer:
should be 27 which is B so
Write in ordinary form
2.8 x 10'5
Answer:
Step-by-step explanation:
the ordinary form of 2.8 * 10^5 is
= 280000
Find the slope and the y-intercept of the line. y = -5/4 x + 2 slope: ?? y-intercept: ??
Answer:
Step-by-step explanation:
Slope-intercept equation for line of slope m and y-intercept b:
y = mx+b
y = (-5/4)x + 2
slope = -5/4 = -1.25
y-intercept = 2
3. A manufacturer of cell phones checks every fifth phone off the line for defects. Out
of 200 phones, 4 are defective. In a shipment of 5,000 phones, how many would you
expect to be defective?
Answer:
100 defects would be expected
Step-by-step explanation:
200/4=50 for every 50 phones there is one defect
5000/50=100
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-4x-3 \\\\ y=-2x+1 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=−4x−3
y=−2x+1
x=x=x, equals
y=y=y, equals
Answer:
x = -2, y = 5.
Step-by-step explanation:
y=−4x−3
y=−2x+1
Because y is common to both left sides:
-4x - 3 = -2x + 1
-4x + 2x = 1 + 3
-2x = 4
x = 4/-2
x = -2.
So y = -4(-2) - 3
= 8 - 3
= 5 .
Math can someone please help me I am struggling and about to give up plaese help.
Please help it should be fairly easy I also would appreciate if you could explain it but if not that’s okayy
Answer:
The distance between point R and point Z is 7 blocks below.
Step-by-step explanation:
The question says the distance between Point r and Point Z. R to Z is going down. You start at R and find Z. When you have done that, You count the number of blocks or spaces that they have in between the space. And when you have counted you get your answer. The answer is never a negative number always positve even if the point is has a negative number with posivte or a negivate with negative or a postive wwith a postive.
Hopefully, it helps and mark me brainiest (AKA: yellow crown) please!
How far has the red runner gone in 3 second?
Answer:
30 yards
Step-by-step explanation:
just look at the time 3 seconds and see where the distance matches
Answer:
30 yards
Step-by-step explanation:
two friends purchase 2 1/2 pounds of pinto beans 1 1/3 pounds of brussels sprouts and 2 pounds of olives
Answer:
Step-by-step explanation:
Total Weight = 2½ + 1⅓ + 2
= 5/2 + 4/3 + 2
= 15/6 + 8/6 + 12/6
= 35/6
= 5⅚ pounds
Keisha is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 54 feet and its width is 30 feet. Suppose each can of wood stain covers 135 square feet. How many cans will she need to cover the court?
Answer:
12
Step-by-step explanation:
Hope this helps correct me if I'm incorrect
19w = -228 slove plz
Answer:
w= -12
Step-by-step explanation:
I need help asap!!!!!!!!!!!!!!!!!!!!
Answer:
13
Step-by-step explanation:
we know both triangles are congruent, so we can make an equation
3x+7=10x-7
take 3x from both sides
7=7x-7
14=7x
x=2
20-7=CAD
m<CAD is 13
The value of the angle CAD in the figure given is 13°.
So, the correct option is 1.
Given is a figure, we need to find the measure of the angle CAD,
To find the required measurement we will show the triangles ABD and ACD are congruent,
So, considering the Δ ABD and Δ ACD,
BD ≅ DC [marked in the figure]
∠B ≅ ∠C [all the right angles are ≅]
DA = DA [common in the both Δs]
Hence, Δ ABD ≅ Δ ACD by SSA rule.
We get, ∠CAD ≅ BAD by CPCTC.
Therefore,
3x + 7 = 10x - 7
Combining the like terms,
10x - 3x = 7 + 7
7x = 14
x = 2
Put x = 2 in ∠CAD = 3x + 7,
∠CAD = 3(2) + 7
∠CAD = 6 + 7
∠CAD = 13°
Hence, ∠CAD = 13°.
Learn more about Congruent triangles click;
https://brainly.com/question/29116501
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hello! can you please help me <3
Answer:
Increasing and linear: B
Decreasing and linear: E
Increasing and nonlinear: A
Decreasing and nonlinear: D
Angel is saving all of his money for a ticket to Grad Bash. Before he started working, he had $7.50 in his bank account On Saturday, he works 5 hours and earns $42.50 On Sunday, he works 8 hours and earns $68,00
Which of the following functions models Angels savings?
Answer:
The second choice is correct. (f(x) = 8.50x+7.50)
Angel had +7.50 dollars to start off with and then worked 5 hours to get 42.50 dollars. This means, she earns 8 dollars 50 cents per hour, meaning that 8.50x would represent the total amount of money that she would earn from her job.
Let me know if this helps!
The figure shows the height, h, of a thrown ball as a function of time. Height is measured in feet and time is measured in seconds. How long will it take for the ball to return to the ground? 40 30 Height in Feet 20 10 1 2 3 4 5 Time in Seconds A 2.5 seconds C 5.0 seconds B 3.5 seconds D 35.0 seconds
Answer:
Step-by-step explanation:
A 2.5