Answer:
E
Step-by-step explanation:
Label the two equations:
4p +3q +2r= 3 -----(1)
-4p -2q -2r= 4 -----(2)
(1) +(2):
4p +3q +2r -4p -2q -2r= 3 +4
Grouping like terms together:
4p -4p +3q -2q +2r -2r= 7
Simplify:
q= 7
Please help I’ll give brainliest
Answer:
[tex]A=60m^2[/tex]
Step-by-step explanation:
formula for area of a parallelogram is [tex]A=bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.
[tex]A=12(5)[/tex]
[tex]A=60[/tex]
Translate the sentence into an equation. Twice the difference of a number and 6 is 2.
Answer:
let the number be x.
2(x-6)=2hope it helps
stay safe healthy and happy....A backpack that normally sells for $40 is on sale for $38. Find the percent of increase or decrease. *20 POINTS* (PLS SHOW WORK)
Answer:mj,bhvb n
mnbnmb mbnmbnb
Step-by-step explanation:
What two numbers multiply to 800 but add up to -60?
Answer:
The answer is -40 and -20
Nick has an album that holds 800 coins each page of the album holds eight coins is 82% of the album is empty how many pages are filled with coins
Answer:
18 Pages are filled with photos because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled
Step-by-step explanation:
Because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled
p(Febuary 31) Calculate the probability of the event
Answer:
You can't find the probibilty of the event because it doesn't exist
Step-by-step explanation:
Will Give Brainly if you answer fast.
Find the volume of the following figure.
12 cm3
15 cm3
14 cm3
13 cm3
Answer:
v = 12cm³
Step-by-step explanation:
v = lwh
v= 6 * 2 * 1
v = 12cm³
Answer:
its 9?
Step-by-step explanation:
Put these numbers in order from least to greatest.
1/5, 0.78,0.71, and 0.63
Answer:
1/5, 0.63, 0.71, 0.78
Step-by-step explanation:
1/5 = 0.2
Hudson wants to write a letter to his friend. He took out
square paper which covers the total area of 225 feet^2
.
What is the length of any side of the paper?
Answer:
length = 15 feet.
Step-by-step explanation:
This paper is 15 feet across on any side. Who will deliver this monster?
Area = s^2 where s is the length of 1 side.
Area = 225 feet^2 (You sure this isn't inches).
s^2 = area
s^2 = 225 Take the square root of both sides of the equation.
sqrt(s^2) = sqrt(225)
s = 15
Solve:
ab^2-(a-c)b-c=?
Answer:
ab^2-(a-c)b-c
ab^2-ab+bc-c
ab(b-1)+c(b-1)
(b-1)(ab+c)
If f(x) = 1 - 2x^3, find the inverse of f.
Solve the equation
3/4x+3-2x= -1/4+1/2x+5
Please help I have tried everything and I haven’t gotten the right answer and it won’t let me move on
Which graph of f(x) = 1/4(4)c?
Answer:
f(x)= 1/4
(4)
x
for x=1→f(1)=
4
1
⋅4
1
=1→(1; 1)
for x=2→f(2)=
4
1
⋅4
2
=
4
1
⋅16=4→(2; 4)
Answer: The graph nr 4.
Other method:
f(x)=\dfrac{1}{4}\cdot4^x=4^{-1}\cdot4^x=4^{x-1}f(x)=
4
1
⋅4
x
=4
−1
⋅4
x
=4
x−1
Used:
\begin{gathered}a^{-1}=\dfrac{1}{a}\\\\a^n\cdot a^m=a^{n\cdot m}\end{gathered}
a
−1
=
a
1
a
n
⋅a
m
=a
n⋅m
Draw the graph of y = 4^x and next shift it 1 unit right.
Mr. Jones' other friend Ms. O'Neill has "x" meters of fencing, what is the maximum area in square meters she can have?
Answer:
[tex]Max\ Area = \frac{x^2}{16}[/tex]
Step-by-step explanation:
Given
[tex]P = x[/tex] ---- the perimeter of fencing
Required
The maximum area
Let
[tex]L \to Length[/tex]
[tex]W \to Width[/tex]
So, we have:
[tex]P = 2(L + W)[/tex]
This gives:
[tex]2(L + W) = x[/tex]
Divide by 2
[tex]L + W = \frac{x}{2}[/tex]
Make L the subject
[tex]L = \frac{x}{2} - W[/tex]
The area (A) of the fence is:
[tex]A = L * W[/tex]
Substitute [tex]L = \frac{x}{2} - W[/tex]
[tex]A = (\frac{x}{2} - W) * W[/tex]
Open bracket
[tex]A = \frac{x}{2}W - W^2[/tex]
Differentiate with respect to W
[tex]A' = \frac{x}{2} - 2W[/tex]
Set to 0
[tex]\frac{x}{2} - 2W = 0[/tex]
Solve for 2W
[tex]2W = \frac{x}{2}[/tex]
Solve for W
[tex]W = \frac{x}{4}[/tex]
Recall that:
[tex]L = \frac{x}{2} - W[/tex]
[tex]L = \frac{x}{2} - \frac{x}{4}[/tex]
[tex]L = \frac{2x- x}{4}[/tex]
[tex]L = \frac{x}{4}[/tex]
So, the maximum area is:
[tex]A = L * W[/tex]
[tex]A = \frac{x}{4}*\frac{x}{4}[/tex]
[tex]Max\ Area = \frac{x^2}{16}[/tex]
9-3 additional practice circles in the coordinate plane
Answer:
1. The center is (-5, 6)
The radius is 11
2. The center is (3, -9)
The radius is 6
3. The center of the circle is (-4, -2)
The radius is 3
4. The coordinate of the center of the circle is (2, 2)
The radius of the circle is 4
5. The equation of the circle is (x - 4)² + (y + 3)² = 2²
6. The equation of the circle is (x + 1)² + (x - 10)² = 7²
7. The given point (6, 8) does not lie on the circumference of the circle
8. Yes, the point (√17, 4) lies on the circumference of the circle
9. Please find the attached graph created with the aid of MS Excel
10 Please find the attached graph created with the aid of MS Excel
11. The equation of the circle is (x - a)² + (y - b)² = c²
12. The equation of the circle is x² + y² = 1
Step-by-step explanation:
1. The equation of the circle is (x + 5)² + (y - 6)² = 121
The standard form of the equation of a circle is (x - h)² + (y - k)² = r²
Where;
The center of the circle = (h, k)
The radius of the circle = r
By comparison we have;
h = -5, k = 6, and r = √121 = 11
The center of the circle, (h, k) = (-5, 6)
The radius of the circle, r = 11
2. (x - 3)² + (x + 9)² = 36
Similar to question 1, above, we have by comparison;
h = 3, k = -9, r = √36 = 6
The center of the circle, (h, k) = (3, -9)
The radius of the circle, r = 6
3. From the graph of the circle on the coordinate plane, we have;
The center of the circle = (-4, -2)
The radius of the circle = -1 - (-4) = 3
4. From the graph of the locus of the circle, we have;
The coordinate of the center of the circle, r = (2, 2)
The length of the radius of the circle = The distance from the center to the point (-2, 2)
Therefore, the radius of the circle, r = 2 - (-2) = 4
5. The given radius of the circle, r = 2
The center of the circle, (h, k) = (4, -3)
The equation of a circle in standard form is (x - h)² + (y - k)² = r²
By comparison, we have the equation of the circle given as follows;
(x - 4)² + (y - (-3))² = (x - 4)² + (y + 3)² = 2²
The equation of the circle is (x - 4)² + (y + 3)² = 2²
6. The given radius of the circle, r = 7
The center of the circle, (h, k) = (-1, 10)
The equation of a circle in standard form is (x - h)² + (y - k)² = r²
By comparison, we have the equation of the circle given as follows;
(x - (-1))² + (y - 10)² = (x + 1)² + (y - 10)² = 7²
The equation of the circle is (x + 1)² + (x - 10)² = 7²
7. The given point = (6, 8)
The radius, r = 4
The center of the circle = (3, 5)
The point lies on the circle if the distance. 'd', from the point to the center of the circle = The radius of the circle
∴ d = √((6 - 3)² + (8 - 5)²) = √((3² + 3²) = √(18) = 3·√2
Given that the distance from the point to the center of the circle, d = 3·√2 ≠ 4 = r, the point (6, 8), does not lie on the circumference of the circle
8. The point = (√17, 4)
Radius, r: 9
The center: (0, -4)
The distance from the point to the center of the circle, d = √((√17 - 0)² + (4 - (-4))²) = 9 = r, the radius of the circle
Therefore, given that the distance of the point from the center of the circle = The radius of the circle, the point, (√17, 4), lies on the circumference of the circle
9. The given equation of the circle is (x - 5)² + (y - 1)² = 49
Comparing with the equation of a circle in standard form, we have;
The center of the circle, (h, k) = (5, 1)
The radius of the circle, r = √49 = 7
Please find the attached graph created with the aid of MS Excel
10. The given equation of the circle is x² + (y - 3)² = 25
The center of the circle, (h, k) = (0, 3)
The radius of the circle, r = √25 = 5
Please find the attached graph created with the aid of MS Excel
11. Given that the center of the circle is (a, b) and the radius of the circle is c, the equation of a circle in standard form, (x - h)² + (y - k)² = r², becomes;
(h, k) = (a, b)
r = c
∴ (x - a)² + (y - b)² = c²
12. The diameter of the circle, d = 2 in.
The center of the circle = The origin with coordinates, (0, 0)
Therefore;
The radius of the circle. r = d/2 = 2 in./2 = 1 in.
The center of the circle, (h, k) = (0, 0)
The equation of the circle is therefore;
(x - 0)² + (y - 0)² = 1²
Which gives the equation of the circle as x² + y² = 1.
Find the distance between the ordered pairs to
the nearest hundredth.
(1,-8) and (2,4)
Answer:
12.05
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(2 - 1)² + [4 - (-8)]²
√(1)² + (12)²
√(1) + (144)
√145
12.05
tori uses 1/4 yard of fabric to make a eyeglass case. how many can she make out of 3 yards of fabric? write a division equation. then solve
Use the slope formula to find the missing coordinate.
m = -7/2 , T(13, 2), W(_, -5)
-11
15
11
15
Answer:
Solution given;
m = -7/2 , T(13, 2), W(_x, -5)
m=(y2-y1)/(x2-x1)
-7/2=(-5-2)/(x-13)
-7/2=-7/(x-13)
doing crisscrossed multiplication
x-13=2
x=2+13
x=15
Answer:
the answer is 15
Step-by-step explanation:
correct me if I'm wrong thanks
A confectioner bought 15 chocolates for Rs. 1. If he sold all chocolates at 25% profit, how many chocolates were sold for Rs. 1? please step by step answer without and link or something please
Answer:
He sold 12 chocolates for 1 Re.
Step-by-step explanation:
He bought 15 chocolates for 1 Rupee
He sold for a profit of 25%
Sale price = profit + cost price
SP= 25%of 1 + 1 Re
SP = 0.25*1+ 1
SP = 1.25 Rs
He sold 15 chocolates fro 1.25 Rs
Chocolates Rupees
15 1.25
x 1
Applying cross product
x*1.25= 15*1
x= 15*1/1.25
x= 12
He sold 12 chocolates for 1 Re.
You bought your car at the cost of $3000.If the value depreciates each year at a rate of 5%.By how much did the value of the bicycle devalued
Answer:
$150
Step-by-step explanation:
Given
Price of car = $3000
Percent depreciation = 5%
Depreciation amount = 5% of $3000
Depreciation amount = 0.05 * 3000
Depreciation amount = $150
New value for the car = 3000 - 150
New value for the car = $2850
The value of the car devalued by $150
pleaseeee answer as fast as possible
Rohan went to bank with Rs. 75,000 to buy American dollars. Then he brings ______ USD. If selling rate = Rs. 76/USD & buying rate = Rs. 75/USD *
Answer:
$986.84
Step-by-step explanation:
exchange rate is the rate at which one currency is exchanged for another currency
Amount of dollars bought = amount of RS / selling rate
75,000 / 76 = $986.84
step by step explanation pls
Answer:
For the first circle: x=40°
For the second circle: x=94°
Step-by-step explanation:
First circle:
The angle you are trying to figure out is congruent to the 40° angle. This is because they are parallel to one another with a perpendicular intersection.Second circle:
The angle starting in the center of the circle is twice as large as the angle starting at the edge of the circle.You need to do a little math:20+27 = 4747x2 = 94°Triangle X Y Z is shown. Line Z X is extended through point W to form exterior angle W X Y.
Which statement regarding the diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
Answer:
C: m∠WXY + m∠YXZ = 180°
Step-by-step explanation:
edu is annoying to do, i got you :)
What is the surface area
Answer:
184 m²
Step-by-step explanation:
Surface Area = 2(10*2) + 2(10*6) + 2(2*6)
Surface Area = 2(20 + 60 + 12)
Surface Area = 2(92)
Surface Area = 184 m²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help me please , show your work
Please help! No links or Files please :)
Leonard made a deposit of $4,500 into a savings account which earns 7% annual compound interest. Assuming he makes no other deposits or withdrawals, which of the following shows the amount of interest his account should earn after 15 years?
Answer:
29.6925
Step-by-step explanation:
stuck on this ixl, help me!
Answer:
-1
Step-by-step explanation:
in negative numbers, it goes the opposite of positive numbers
Please help and show clear instructions will give brainliest !
Answer:
Answer is 3 because
Step-by-step explanation:
a=2
20*2= 40
40-1 = 39
b = 13
so 39/13 = 3
Angle A and B are supplementary. If the measure of a = 6x+17 and the measure of b = 3x+10, find the measure of a
Answer:
∠ a = 119°
Step-by-step explanation:
Supplementary angles sum to 180° , then
6x + 17 + 3x + 10 = 180, that is
9x + 27 = 180 ( subtract 27 from both sides )
9x = 153 ( divide both sides by 9 )
x = 17
Then
∠ a = 6x + 17 = 6(17) + 17 = 102 + 17 = 119°
What is the distance around the perimeter of the garden?
O 60 ft
O 60v3 ft
O 120 ft
O 120v3 ft
Answer:
120 ft
Step-by-step explanation:
Find c and multiply it by 4. You're working with one triangle only at first.
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp
Cos(60) = 15 / hyp
hyp = 15/cos(60)
hyp = 30