[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
By squaring the sum of two variables identity ~
[tex]\qquad \sf \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]
Now, plug in the given values ~
[tex]\qquad \sf \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]
[tex]\qquad \sf \dashrightarrow \:36 = 2(10 + ab)[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 36 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 18[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 18 - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 8[/tex]
I hope it was clear through my steps ~
Answer:
8
Step-by-step explanation:
(a+b)^2 = (-6)^2
a^2 + 2ab + b^2 = 36
a^2 + b^2 = 36 - 2ab
Equating 36 - 2ab with 20
36 - 2ab = 20
2ab = 16
ab = 8
Hope this helps out, feel free to mark this answer as brainliest :)
Write an equation for the line that has a slope of -2/3 and goes through the point (-6,8)
Answer:
The solution is in the image
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
the equation of a line is given by the formula y = mx + b where m is the slope and b is the y intercept.
so,
y = (-2/3)x + b
to find b we plug in the values of x and y given by the point (-6,8)
8 = 4 + b
b = 4
so y = (-2/3)x + 4
It’s mathematical and musical at the same time
Answer:
I dont think I can type the answer on keyboard
HELP PLS I'LL MARK U BRAINLISTT
Answer:
KM = 7
LM = 7
KL = 11
Step-by-step explanation:
Isosceles triangles have 2 congruent sides (in this case they are KM and LM
This means 4d-13 = 12-d
We can now solve for d
4d-13 = 12-d | add d to both sides
5d-13 = 12 | add 13 to both sides
5d = 25 | divide both sides by 5
d = 5
Now we can solve for the 3 sides of triangle KLM
KM = 7
LM = 7
KL = 11
That is your answer
- Kan Academy Advance
Please Help if you can.
Answer:
6.28 meters
Step-by-step explanation:
Circumference is D[tex]\pi[/tex]
D=2 meters
2*3.14 = 6.28
10% of 2100 is 210
Work out 43% of 2100
Answer:
43÷100*2100=903
Step-by-step explanation:
43 devide by 100 because it is a percentage, we always devide percentages by 100. It gives an answer of 0,43.
0,43 multiply by 2100 because we need a cost.
if the legs of a right triangle are 3 and 6, what is the length of the hypotenuse?
Answer:
[tex]3\sqrt5[/tex]
Step-by-step explanation:
The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.
so, [tex]3^2+6^2=c^2[/tex]
9 + 36 = 45
[tex]\sqrt45=\sqrt{c^2}[/tex]
c = [tex]3\sqrt5[/tex]
if sally drives to work 25% faster than she did yesterday, what would be her
percentage decrease in the time it takes her to get to work
Answer:
50 percent
Step-by-step explanation:
because sally was tried yesterday and went 25 percent faster today.
An isosceles triangle has an angle that measures 58°. What measures are possible for the other two angles? Choose all that apply.
Answer:
it's probably 58 and 64 just a random guess but I think all triangles add up to 180
jordan is cutting a 2 m by 1 1/4 m piece of rectangular paper into two pieces along its diagonal. find the area of each of the pieces
Answer:
The area of a rectangle is 5/4
Step-by-step explanation:
(3x + 1) + 8 (2x - 3) = 4 (3x -1) -7 (x -4) ayúdenme
Step-by-step explanation:
[tex](3x + 1) + 8(2x - 3) = 4(3x - 1) - 7(x - 4) \\ 3x + 1 + 16x - 24 = 12x - 4 - 7x + 28 \\ 19x - 23 = 5x + 24 \\ 19x - 5x = 24 + 23 \\ 14x = 47 \\ x = \frac{47}{14} [/tex]
PLEASE HELPP
Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D. 32%
Answer:
D. 32%
Step-by-step explanation:
In an exponential function, exponential growth is modeled by f(x) = a(1 + [rate])ˣ. In this function, the initial value a, which is 2.3, is multiplied by 1.32 x times, so 1.32 represents the actual growth happening.
This means that to find the actual rate of exponential growth, you’d have to set 1.32 equal to (1 + [rate]). If (1 + [rate]) = 1.32, then the rate = .32, and because rates are written as percentages, we change .32 to 32%.
Help pls
In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75,
respectively. Find the area of rectangle D.
If the areas of rectangles A, B, and C are 11, 33, and 75, respectively. Then the area of the rectangle D will be 25 square units.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75, respectively.
Then the area of the rectangle D will be
Let a be the length and b be the width of the rectangle D. Then we have
The ratio of the area of the rectangles will be
[tex]\rm \dfrac{A_A}{A_B} = \dfrac{A_D}{A_C}\\\\\\A_D = \dfrac{A_A \times A_C}{A_B}\\\\\\A_D = \dfrac{11 \times 75}{33}\\\\\\A_D = 25[/tex]
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Put this equation into slope-
intercept form.
5x – 4y = 12
PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST
Answer:
For the circle with the diameter of 7cm, the area is about 38.48cm and the circumference is about 22cm
For the circle with the diameter of 5cm, the area is about 19.63cm and the circumference is about 15.7cm
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2
The formula to find the circumference is 2*pi*r
r = radius, which can be determined simply by taking the diameter, and dividing it by 2.
Answer:
See below ~
Step-by-step explanation:
Circle 1 :
Area = πr² = 22/7 x (7/2)² = 11 x 7/2 = 77/2 = 37.5 cm²Circumference = 2πr = 2 x 22/7 x 7/2 = 2 x 11 = 22 cmCircle 2 :
Area = πr² = 22/7 x (5/2)² = 22/7 x 25/4 = 550/28 = 19.64 cm²Circumference = 2πr = 2 x 22/7 x 5/2 = 220/14 = 15.71 cmFind the circumference,
18 ft
Answer:
56.549 feet
Step-by-step explanation:
Diameter. ft in m
18′0″ 56.55. 678.6 17.24
18′1″ 56.81.
18′2″ 57.07. 684.9
18′3″ 57.33. 688.0
18′4″ 57.60. 691.2
18′5″ 57.86. 694.3 17.64
18′6″ 58.12. 697.4 17.71
18′7″ 58.38 700.6 17.79
18′8″ 58.64 703.7 17.87
18′9″ 58.90. 706.9 17.95
18′10″ 59.17. 710.0 18.03
18′11″ 59.43. 713.1 18.11
Given the expression: 3x¹0 - 48x²
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
According to a recent survey, it is known that 90% of people enjoy disney movies, 70% of
people enjoy pixar movies, and 65% of people enjoy both. what is the probability that a
randomly selected individual enjoys disney movies, given that they enjoy pixar movies? round
your answer to the nearest hundredth place."
Answer:
[tex]P(\text{Disney}| \text{Pixar})\approx0.929[/tex]
Step-by-step explanation:
[tex]P(\text{Disney}| \text{Pixar})=\frac{P(\text{Disney and Pixar})}{P(\text{Pixar})}\\\\P(\text{Disney}| \text{Pixar})=\frac{0.65}{0.70}\\\\P(\text{Disney}| \text{Pixar})\approx0.929[/tex]
3
What is the quotient of and 3?
-
O -1/1/2
-100
110
118
The simplified quotient of 300 and 3 is 100
How to determine the quotient?The complete statement is given as:
What is the quotient of 300 and 3?
This is represented as:
Quotient = 300/3
Divide 300 by 3
Quotient = 100
Hence, the quotient of 300 and 3 is 100
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A triangle has sides with lengths of 31 feet, 72 feet, and 78 feet. Is it a right triangle?
yes
no
=========================================================
Explanation:
We have a triangle with these side lengths
a = 31b = 72c = 78The order of 'a' and b doesn't matter, but we must have c as the largest value. Usually a,b,c are in ascending order.
Plug those values into the formula for the pythagorean theorem. If we get the same thing on both sides, then we have a right triangle.
[tex]a^2 + b^2 = c^2\\\\31^2 + 72^2 = 78^2\\\\961+5184 = 6084\\\\6145 = 6084\\\\[/tex]
We have a false statement at the end, which means the original equation is false for those a,b,c values.
Therefore, we do not have a right triangle.
Instead, this triangle is acute since the [tex]a^2+b^2[/tex] side is larger than the [tex]c^2[/tex] side
---------------
Rules to have in your notebook or on a reference sheet:
[tex]\text{If }a^2 + b^2 = c^2 \text{ then it is a right triangle}\\\\\text{If }a^2 + b^2 > c^2 \text{ then the triangle is acute}\\\\\text{If }a^2 + b^2 < c^2 \text{ then the triangle is obtuse}\\\\[/tex]
For more information, check out the converse of the pythagorean theorem.
Solve this questiion please asap
Answer:
Y=3
Step-by-step explanation:
please mark brainliest
Answer:
Y = 3
If you need me to explain it step by step lmk.
Evaluate the expression is 4*3^z when c is 2
Hey there!
ASSUMING….
4 * 3^c
= 4 * 3^2
= 4 * 3 * 3
= 12 * 3
≈ 12 + 12 + 12
≈ 24 + 12
= 36
Therefore, the answer should be: 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
question 7. evaluate the expression
[tex]\left(3^3 - 6 \cdot 8 \right) \div 7\\\\\\= \dfrac{27-48}{7}\\\\\\=-\dfrac{21}7\\\\\\=-3\\[/tex]
Answer:
-3
Step-by-step explanation:
Using PEMDAS :
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionExponent (in Parentheses)
(3³ - 6 × 8) ÷ 7(27 - 6 × 8) ÷ 7Multiplication (in Parentheses)
(27 - 6 × 8) ÷ 7(27 - 48) ÷ 7Subtraction (In Parentheses)
(27 - 48) ÷ 7-21 ÷ 7Division
-21 ÷ 7-3The students in Mr. Tate's art class painted landscapes showing the different seasons of the year. There were 7 paintings of winter, 5 paintings of spring, 8 paintings of summer, and 5 paintings of autumn.
What percent of the paintings were of summer?
Step-by-step explanation:
7+5+8+5=25 All the paintings
paintings of summer:8
8 of 25
25×4=100
8×4=32
paintings of summer:32%
3/8 of Shiva's weekly allowance is $150. He spent half of his allowance on food. a.How much money did he spend on food.
b.how much money did he remain with
Answer:
He spent 200$ on food and remained with 200$
Step-by-step explanation:
150/3 = 50
50 * 8 = 400
400/2= 200
400- 200= 200
1
maining:
out of
question
Is it a Function?
Instructions: Determine whether the following relationship is a function.
You're headed to the bank with two friends to exchange your American dollars for the South
African currency rand, for an upcoming trip to South Africa. You and one friend both plan to
exchange $100. If you go first and then your friend goes right after you, think about what you
would expect about the amount of rand you both get back. Does the relationship between dollars
turned in and rand received represent a function?
Is it a function? No
Check
The relationship between dollars delivered and rand received represents a function.
What is a function?Corresponds to a mathematical relationship between two variables, x and y, where the set of x values is associated with a y value. Being expressed by the formula:
y = f(x)Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.
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When two numbers are not equal, an ___ is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.
Answer:
Inequality
Step-by-step explanation:
Inequality is show a comparison between the two quantities which are unequal.
It can be represented:
≤ ⇒ less than or equal to
< ⇒ less than
≠ ⇒ not equal to
> ⇒ greater than
≥ greater than or equal to
Kavinsky
What is the value of y in the solution to the system of equations?
x+y=1
2x - 3y = -30
O-8
O-3
O 3
08
Answer:
y=6.4
Step-by-step explanation:
The solution is in the image
The system of equations are solved and the value of y = 32/5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x + y = 1 be equation (1)
2x - 3y = -30 be equation (2)
Multiply equation (1) by 2 , we get
2x + 2y = 2 be equation (3)
Subtracting equation (2) from equation (3) , we get
5y = 32
Divide by 5 on both sides , we get
y = 32/5
Hence , the equation is solved and y = 32/5
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Mac has 40 ounces of juice. He pours 6 ounces in each glass. How many glasses can he fill?
Answer:
6
Step-by-step explanation:
What is the median of this data set?
{12, 8, 9, 12, 10, 13, 8}
The median of the data set is 10.
What is the median of the data set?Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. It is a measure of central tendency.
Data set = 8, 8, 9, 10, 12, 12, 13
Median = 10
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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the median of this dataset?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
❖ First, arrange the data in the data set from least to greatest:-
[tex]\textsc{12, 8, 9, 12, 10, 13, 8}\mapsto\textit{8, 8, 9, 10, 12, 12, 13}[/tex]
Now, the median is the number in the middle, or
[tex]\textit{10}[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Point S is the midpoint of RT the coordinates of point R and point T are listed below R(-11,-12) T(-7,-4) what are the coordinates of point S
Answer:
S (- 9, - 8 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here the endpoints are R (- 11, - 12 ) and T (- 7, - 4 ) , then
midpoint = ( [tex]\frac{-11-7}{2}[/tex] , [tex]\frac{-12-4}{2}[/tex] ) = ( [tex]\frac{-18}{2}[/tex] , [tex]\frac{-16}{2}[/tex] ) = (- 9, - 8 )
