Step-by-step explanation:
-2x - 5y = 16___(1)
2x - 3y = -16___(2)
(1) + (2) ==> -2x -5y = 16
(+) 2x -3y = -16
-8y = 0
y = 0/-8
y = 0
y=0 in (1)
(1)---> -2x-5y =16
-2x - 5(0) = 16
-2x - 0 = 16
-2x = 16
x = 16/-2
x = -8
x = -8 , y = 0
-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)
multiply eqn(1) with 2
2 × (1) : -10x + 4y = 22___(3)
(3) - (2) :. -10x + 4y = 22
(-) -3x + 4y = -13
-7x = 35
x = 35/-7
x = -5
x=-5 in (1)
(1) : -5x + 2y = 11
-5(-5) + 2y = 11
25 + 2y = 11
2y = 11 - 25
2y = -14
y = -14/2
y = -7
x = -5 , y = -7
You are investing $1500 at 5.2% compounded annually. How much money will you have in 12 years?
Answer:
$2756.01 to the nearest cent.
Step-by-step explanation:
A = P(1 + r)^t where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.
So here, we have:
A = 1500(1 + 0.052)^12
= 1500 * 1.837337
= $2756.01
a) If a regular octagon and regular hexagon both have the same side lengths, which will have the greater area?
Answer:
Octagon
Step-by-step explanation:
Formula for a polygon is :
A = 1/2 x a x Pa = apothem (distance from center to the midpoint of a sideP = perimeter (sum length of the sides)Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.
Please, someone help. I will give brainliest. (I dont need an explanation just an answer please.)
Answer:
C
Step-by-step explanation:
In 3 options, the coefficient of x on both sides is the same. Hence, they will all have no solution. The only one which has exactly one solution is :
C. 6x + 8 = -6x + 20The width of a rectangle is 2/3 its length. The perimeter of the rectangle is 400 ft. What is the length, in feet, of the rectangle?
Answer:
here's your answer....
help me pleeeeeeease
[tex]P = l + l + b + b[/tex]
[tex]P = 2(2a + 3) + 2(8a - 12)[/tex]
[tex]\boxed{\sf{P=20a-18}}[/tex]
Question 2:[tex]P = 20(3) - 18[/tex]
[tex]P = 60 - 18[/tex]
[tex]\boxed{\sf{P = 42 cm}}[/tex]
Question 3:[tex]P = (3b + 7) + (7b - 2) + (7b - 2)[/tex][tex]\boxed{\sf{P = 17b+3}}[/tex]
Question 4:[tex]P = 17(6) + 3[/tex]
[tex]P = 102 + 3[/tex]
[tex]\boxed{\sf{P = 105 \: m}}[/tex]
Select the correct answer. Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0 A. (x − 10)2 = 21 B. (x − 10)2 = 36 C. (x − 5)2 = 21 D. (x − 5)2 = 36
Answer:
D. [tex](x - 5)^{2} = 36[/tex]
Step-by-step explanation:
given equation: [tex]x^{2} - 10x - 11 = 0[/tex]
Helppp!
The net of a solid figure is shown below:
Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 3 inches
Which calculation will give the total surface area of the solid figure?
3 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 ⋅ 3 square inches
3 ⋅ 6 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 square inches
Answer:
It's the the 4th one. 6.3.3
what is the surface area of the green shapes there all the same
Answer:
I believe the answer is 10
Step-by-step explanation:
4x5 is 20 divided by 2 is 10. I hope you find this as helpful and correct, I am sorry if I am wrong.
If the area of a circle is 90 cm, what is its radius?
Answer:
r= 5.35
Step-by-step explanation:
Answer:
the radius is .... 5.35 :P
kaii~
11z-6=16, then z=
First answer get to be brainliest!
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]
11z-6=16, what is z?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We need to make sure that all variables are on the left-hand side and the numbers are on the right-hand side.
Since we have a number on the left-hand side, we need to move it to the right-hand side with the opposite operation:-
11z=16+6
[tex]\it{11z=22}[/tex]
Divide by 11 on both sides:-
[tex]\it{z=2}[/tex]
We can check our solution by replacing z with 2 and seeing whether or not we end up with a true statement:-
[tex]\it{11(2)-6=16}[/tex]
[tex]\it{22-6=16}[/tex]
[tex]\it{16=16}[/tex]
So we conclude that our solution, z=2, is correct.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
z=2
Step-by-step explanation:
11(2)-6=16
22-6=16
Using the image above, what is the measure of Side AC? Round to the nearest hundredth
To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units
Trigonometric RatioIn the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.
Data;
Angle = 32.9 degreesHypothenuse = 3.4Let's use cosine rule for this.
[tex]cos\theta = \frac{adjacent}{hypothenuse}[/tex]
Proceed to substitute the values into the equation and solve.
[tex]cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85[/tex]
From the calculations above, the value of side AC is 2.85 units
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What is the area of this quadrilateral?
41
3 ft
10 ft
10 ft
3D
4 ft
O A. 30 square feet
O B. 36 square feet
O c. 42 square feet
O D. 12 square feet
Answer:
42 square feet
Step-by-step explanation:
10 ×3= 30
4×3=12 divided by two =6 ×2= 12
(multiply because there are two triangular ends)
12+30=42
Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y
Answer:
B) y = x - 50
Step-by-step explanation:
https://brainly.com/question/27646495
SOMEBODY CAN YOU PLEASE HELP ME?!
Answer:
7.81
Step-by-step explanation:
I attached a drawing explaining how to use the Pythagorean theorem to solve this problem. Let me know if you have any questions!
Juan bought 48 ounces of nuts at the store. How much is this in pounds?
Please help me with this, Thank You.
Answer:
missing side is 5x - 4
Step-by-step explanation:
x - 1 + ( 3x + 6 ) + third side = 9x + 1
x - 1 + 3x + 6 + third side = 9x + 1
4x + 5 + third side = 9x + 1
third side = 9x + 1 - ( 4x + 5 )
third side = 9x + 1 - 4x - 5
third side = 5x - 4
HELP ASAP WILL MARK AS BRAINLIST IF YOU SOLVE 2 OF THESE QUESTIONS
1. What base 10 number does 257 eight represent
2. A new operation, #, is defined this way: m#n=m^2-mn. Find the value of 7#(3#2).
Answer:
1. 175
2. 28
Step-by-step explanation:
If you're converting from another base, just multiply each digit, then add up the numbers:
ones digit × 8^0,
tens digit × 8^1
hundreds × 8^2
see image.
The second problem gives you a new operation. Follow the rule by squaring the first number and taking away the first×second. Do the parenthesis first!
see image.
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
22.62 degrees
Step-by-step explanation:
Right triangle
you can pick cosine or sine to calculate angle r
sin r = opposite leg/ hypotenuse = 5/13
arcsin(5/13) = 22.62 degrees
cos r = 12/13
r = arccos(12/13) = 22.62 degrees
Which equation is the inverse of y = x2 – 36? y = plus-or-minus startroot x endroot 6 y = plus-or-minus startroot x 36 endroot y = plus-or-minus startroot x endroot 36 y = plus-or-minus startroot x squared 36 endroot
The inverse of the given function is expressed as y = ±√x + 38
Inverse of an equationGiven the equation below expressed as:
y = x² - 36
Replace y with x
x = y² - 38
Add 38 to both sides of the equation
x + 38 = y² - 38 + 38
y² = x + 38
Take the square root of both sides
√y² = ±√x + 38
y = ±√x + 38
Hence the inverse of the given function is expressed as y = ±√x + 38
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Answer:
B on edge 2022
Step-by-step explanation:
took the quiz
The polynomial function f(x) = 3x5 – 2x2 7x models the motion of a roller coaster. the roots of the function represent when the roller coaster is at ground level. which answer choice represents all potential values of when the roller coaster is at ground level? begin by factoring x to create a constant term. 0, plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 0, plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7 plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7
The root of the polynomial function f(x) = 3x⁵ - 2x² + 7x is 0
How to determine the roots of the equation?The polynomial function is given as:
f(x) = 3x⁵ - 2x² + 7x
Set the function to 0
3x⁵ - 2x² + 7x = 0
Factor out x
x(3x⁴ - 2x + 7) = 0
Divide both sides by (3x⁴ - 2x + 7)
x = 0
Hence, the root of the equation is 0
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Answer:
B
Step-by-step explanation:
cause math
Which expression is equivalent to the area of square A, in square inches?
Answer:
the required expression equivalent to the area of the square A in inches is (10² + 24²).
Step-by-step explanation:
Which of the following indicates that AABC and ADEF are similar?
Answer:
C. ΔABC ~ ΔDEF
Step-by-step explanation:
The operators in the different answer choices are used to describe different kinds of relations.
A. "almost equals" or "is approximately"
B. "equals"
C. "is similar to" (tilde operator)
D. "is congruent to"
__
Additional comment
"Congruent" is used to describe geometrical figures in which all corresponding measures are identical. "Equal" generally refers to the relationship between algebraic or numerical values or expressions.
"Is approximately" is used to describe values that are the same within a suitable tolerance or error range. For example, 23.4 ≈ 23.352, where the value on the left has been rounded to the nearest tenth. (It is within 0.05 of the value on the right.)
A circle is centered at R(2, 4). The point L(0,8) is on the circle.
Where does the point Q(6, 7) lie?
well, since we know the point L is on the circle, that means that the segment RL is really the length of the radius of that circle, hmmm let's see what that might be
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad L(\stackrel{x_2}{0}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RL=\sqrt{[0 - 2]^2 + [8 - 4]^2}\implies RL=\sqrt{(-2)^2+4^2}\implies \boxed{RL=\sqrt{20}}[/tex]
since RL is its radius, anything larger than that is outside the circle, and anything smaller than that is inside it. Let's check for the distance RQ.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RQ=\sqrt{[6 - 2]^2 + [7 - 4]^2}\implies RQ=\sqrt{4^2+3^2}\implies RQ=\sqrt{25}[/tex]
needless to say RQ is larger than RL.
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
See below
Step-by-step explanation:
If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.
None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.
Answer:b
Step-by-step explanation:
Estimate, to the nearest degree, the size of each radian measure in degrees.
a) 2.5
b) 5.2
c) 6.8
B. Just saying, this is an estimate, yet it seems more logical.
What is 5log3+log4 as a single logarithm?
[tex]~~~5 \log 3 + \log4 \\\\=\log 3^5 + \log 4~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log(3^5 \cdot 4)~~~~~~~~~~~~~~~~~~~~~~;[\log_b(mn) = \log_b m + \log_b n]\\\\=\log(972)[/tex]
WILL MARK BRAINLIEST!!!
A bag contains four red marbles, three blue marbles, two yellow marbles, and one green marble. Two marbles are drawn from the bag, one at a time, without replacement. What is the probability of drawing two blue marbles?
Answer:
1/12
Step-by-step explanation:
The initial probability of drawing a blue marble would be 3/9 as there are initially 3 blue marbles and in the bag there are a total of 9 marbles however, to get the second blue marble, the probability would be 2/8 since there's one less blue marble in the bag, making it 2 and one less marble in the bag, in general, leaving 8 marbles in the bag. To find the combined probability of getting both blue marbles, multiply the probabilities so:
3/9 x 2/8 = 1/3 x 1/4 = 1/12
somebody please help me on this.
radius of a cylinder is 4 cm and height given is 6 cm. Find the volume in terms of pi
height= 6 cm
radius= 4 cm
to find:the volume of the given cylinder.
solution:[tex]v = \pi {r}^{2} h[/tex]
[tex]in \: terms \: of\pi = {r}^{2} h[/tex]
[tex]v = {4}^{2} \times 6[/tex]
[tex]v = 96\pi \: {cm}^{3} [/tex]
which of the following is an example of exponential growth? A. y=4e^ B. y=2(0.5)^x C. y=3 (1/4) ^x D. none of these
Answer:
it's D, cause for one, on b and c, their are multiplying by fractions, their is a rule like, either divide by 2 or multiple by one half, and the first one doesn't make sense so
