Answer:
x = - 12, x = 2
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
HOPE THIS HELPS
Answer:
x = 2 , − 12
Step-by-step explanation:
Use the formula ( b /2 ) (^)2 in order to create a new term. Solve for x by using this term to complete the square.
How much space will the tissue box take up on
my desk if the base dimensions are 3.5 inches
and 8 inches?
square inches
Answer:28
Step-by-step explanation:
3.5 times 8 is 28
please help me!!!!!!!
a+b=9 a+c=4 b+c=5 . Find a+b+c.
(A) 4 (B) 5 (C) 7 (D) 8 (E) 9
show your work please.
thanks!
Answer:
(E) 9
Step-by-step explanation:
A= 4
B= 5
C= 0
a+b+c= 4+5+0= 9
a+b=9= 4+5=9
a+c=4= 4+0=4
b+c=5= 5+0= 5
Answer:
E(9) pls mark brainleast
Step-by-step explanation:
If you add the left sides you get 2a+2b=2c then add the right sides which is 18. Now you have an equation 2a+2b+2c=18 then you can factor out the 2 that becomes 2(a+b+c)=18 then divide by two on both sides then get a+b+c=9.
Please help
Find the unknown radius of the circle. A measures 628 sq cm find r
Answer:
14.14 cm
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi *radius^2[/tex]
In order to find the radius you would first have to divide the area of 628 by pi, this gives you 200. This is because by dividing the area by pi it will leave us with the radius squared.
The next step is to find the square root of 200, this gives us 14.14. This is because by finding the square root it will leave us with the radius. The square root is another number that when multiplied by itself equals the number.
1) Divide 628 by pi.
[tex]628/\pi =200[/tex]
2) Find the square root of 200.
[tex]\sqrt{200}=14.14[/tex]
Pi as in 3.14
Evaluate (if possible) the six trigonometric functions of the real number t. (if an answer is underfunded, enter UNDEFINED)
T= 4 π/3
Sin t=
Cos t=
Tan t=
Csc t=
Sec t=
Cot t=
Answer:
Step-by-step explanation:
sin= - square root 3/2
cos= -1/2
tan= square root 3
csc= -2 square root 3/2
sec= -2
cot= square root3/4
Answer:
[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]
We first find the corresponding angle of 4π/3.
[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.
[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Learn more: https://brainly.com/question/12356025
jina works mowing lawns and babysitting she earns $7.90 an hour for mowing $7.40 an hour for babysitting how much will she earn for 1 hours of mowing and 5 hours of babysitting
Answer:
44.90
Step-by-step explanation:
1 hour mowing = 1*7.90 = 7.90
5 hours babysitting = 5*7.40 =37.00
The total is 7.90+37 =44.90
Find the measures of the vertical angles shown. Show all work for full credit.
Answer:
40 degrees
Step-by-step explanation:
Look at the attachment
A store bought 30 cases of notebooks for a back-to-school sale. Each case has 36 notebooks. How many total notebooks did the store have for the sale
Answer:
1080 notebooks
Step-by-step explanation:
30×36 You can simplify this...
3*36=108
108×10=1080
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Anyone know the answer to this ?
Answer:
Triangle HBN ~ triangle LYR
=> HN/LR = HB/LY
=> (3x - 7)/(x + 11) = 28/21
=> 21(3x - 7) = 28(x + 11)
=> 63x -147 = 28x + 308
=> 35x = 455
=> x = 455/35 = 13
There is no answer to select. But I still believe there is no mistake in my calculation.
Hope this helps!
:)
22 .Siswa dapat menganalisis persamaan menggunakan identitas trigonometri
a) cot x.cos x per cosec x
b) cos pangkat 4 x - sin pangkat 4 x
30 students apply for a scholarship,
10 have college degrees
18 have school certificates
8 have both qualifications.
(a) Draw a Venn diagram to show thi
information.
(b) How many students have no
qualification?
Answer:
A - school certificates
B - college degrees
So 30 - (10 + 8 + 2) = 10 have no qualification
If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?
Answer:
(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to rent a lounge chair and umbrella each during their vacation. Lisa rented the chair and umbrella for 1 day less than Dan. The following equation represents this situation, 20x+15x+20(x-1) = 245. What is the total amount Dan paid to rent the lounge chair and umbrella during his vacation
Answer:
$151.88 costs to Dan algebraic form
$245/2 = $122.50+20+15 = 157.5 is the answer though.
Step-by-step explanation:
35x+20(x-1)
35x + (20x -1)
35x +20x -1
35x -20x-20
x= 53/11
53/11 = 4.81
4.81 x 20 = $96.20 on chairs
4.81 x 15 = 72.15 on umbrella
96+72 = 168.35
245-168.35 = 76.65
76.65 + 20 = 96.65
Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20
Added together his costs out of 245 was $104.37+ 76.65 = $181.20
Costs of umbrella = 76.65/2 = 39.325
181.20 -29.325=151.87 rounded up to 151.87
As x = 53/11 the decimal of this is 4.81 = x
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
12+(5(12))/3
42
Answer:
42
Step-by-step explanation:
[tex]A = \frac{a+b}{2} h[/tex]
[tex]A = \frac{1+6}{2} 12[/tex]
[tex]A = \frac{7}{2}12[/tex]
[tex]A=7*6[/tex]
[tex]A = 42[/tex]
HURRY STRANGERS PLEASE I REALLY NEED THIS!!! A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company.
Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answer:
Step-by-step explanation:
Base on my own understanding what should be done is that three stacks will not work, because it wont be a symmetric arrangement and also one will be left out. So, two stacks of five each would be better and easy to carry. But the stacks should be arranged in such a manner that the lengths will be parallel to each other and not in-line which would increase the length making it comparatively very long. its easier to hold a (2*8.5,11,2*5=17,11,17) compact box, because it will be easy to carry a long and not heavy.
WILL MARK BRAINLIEST!!! OWO
Answer:
G equilateral
Step-by-step explanation:
scalene = all the sides of the triangle are not equal
isosceles = two sides of the triangle is equal
Answer should be equilateral = All the sides of the triangle is equal.
F H J are not describing any triangle.
Answer:G equilateral
Step-by-step explanation:
^///^
math help pls, will reward.
Answer:
6. B
7. A
8. A
9. A
Step-by-step explanation:
6. As x approaches ∞ (as x goes to the right), y approaches ∞ (y goes up).
7. f(x) = -x⁴ + 5x³ − 2x + 5
The leading coefficient is negative, and the highest power is 4 which is even. So as x→-∞, f(x)→-∞, and as x→∞, f(x)→-∞.
8. The roots are 3, -4, and 1, so the polynomial is:
f(x) = (x − 3) (x − (-4)) (x − 1)
f(x) = (x − 3) (x + 4) (x − 1)
9. The roots are 0 (multiplicity of 1), 1 (multiplicity of 2), and -2 (multiplicity of 2).
f(x) = (x − 0)¹ (x − 1)² (x − (-2))²
f(x) = x (x − 1)² (x + 2)²
RUNNING OUT TIME SOMEONE HELP! :)
Answer:
top right
Step-by-step explanation:
linear function means straight line
The only function that is a straight line is the top right
Answer:
Upper Right
Step-by-step explanation:
A linear function is a line
Circle P has a circumference of approximately 75 inches
What is the approximate length of the radius, n Use 3 14
for . Round to the nearest inch
12 inches
24 inches
38 inches
046 inches
Answer: The radius is 12.
Step-by-step explanation:
75/n where N is representing pie. We have to divide pie to find the diameter.
75/3.14= 24 Now we know the diameter is about 24 so we will divide by 2 to find the radius.
24/2=12
Answer:
1) 12in
Step-by-step explanation:
The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.
Jill charges an hourly rate for babysitting one or two children. Kara charges a lower hourly
rate but adds an additional charge for more than one child.
The tables show the amounts Jill and Kara charge for babysitting two children for up to three
hours. Based on this information, which statement is true?
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
ASAP : What is the y-coordinate of the center of the circle for the following circle equation? x2 + y2 - 10y + 18x = 2
Answer:
y = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre ad r is the radius
Given
x² + y² - 10y + 18x = 2 ( Rearrange collecting x and y terms together )
x² + 18x + y² - 10y = 2
Using the method of completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(9)x + 81 + y² + 2(- 5)y +25 = 2 + 81 + 25
(x + 9)² + (y - 5)² = 108 ← in standard form
with centre = (- 9, 5 )
The y- coordinate of the centre is therefore y = 5
Which statements describe the sequence -3,5,-7,9,11...? Check all that apply
Answer:
number series puzzele??
Step-by-step explanation:
need answer asap!!!!!!!!!!!
Answer:
126 degrees
Step-by-step explanation:
A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.
AL
What is the measure of <R?
74°
92
R
B
Do
Answer:
74
Step-by-step explanation:
It would be 74 because use the concept of vertical angels to help you find out whatm it is going to be.
Hope this helps!
The volume of the sphere is 904.32 m. To the nearest meter, what is the radius of the sphere????? Use 3.14 for pi.
Answer:
6
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Plugging in the values that you are given, you get:
[tex]904.32=\frac{4}{3}\pi r^3[/tex]
Dividing both sides by pi or 3.14:
[tex]288=\frac{4}{3}r^3[/tex]
Dividing both sides by 4/3:
[tex]216=r^3[/tex]
Taking the cube root of both sides:
[tex]r=6[/tex]
Hope this helps!
ANSWER ASAP PLS AND TY
4. At Lowell High School, the cost to attend special events depends on whether or not a student has
purchased a S10 discount card.
Option A: The student buys a discount card. The cost is $5 per event.
Option B: The student does not buy a discount card. The cost is $7.50 per event.
Graph the relationship between total cost and number of events for each option on the grid.
LABEL BOTH LINES!! (Option A/Option B)
a) Under what conditions is it best to buy a discount card?
b) Under what conditions is it best to not buy the discount card?
c) Are there any conditions where it doesn't matter!
Which graph represents this system?
3x+2y=-6
y=-x+2
2
Answer:
Look at the attched image
Hope it helped, mark as brainliest please :)
pls help will mark as brainliest
Answer:
C F
Step-by-step explanation:
Answer:
2/10 is equivalent to 1:5
6:30 is equivalent to 1:5
8 to 40 is equivalent to 1:5
Step-by-step explanation:
The storage box shown has these dimensions.
length: foot width: foot height: foot
What is the volume of the box?
1 cubic feet
cubic foot
1 cubic foot
A
11/foot
1 cubic foot
foot-
Answer: 1 3/4 cubic feet
Step-by-step explanation:
1234567890
Answer:
a
Step-by-step explanation:
You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?
Answer: On loan of $5000 at that rate, you would be owing $9400
Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.
Hence, the formula for a simple interest computation is given as follows;
Interest = P x R x T
Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)
Interest = 5000 x 0.22 x 4
Interest = 20000 x 0.22
Interest = 4400
Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.
Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)
