WILL GIVE BRAINLIEST: Show that ABCD is a rhombus if A(0, –2), B(10, 3), C(21, 5), and D(11, 0). Find the slope m1 of AC and the slope m2 of BD and verify that m1m2 = –1.
Answers
Answer:
Answers in the pics
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
Related Questions
the diagonal of a square is x what is the perimeter of the square
Answers
Answer:
2[tex]\sqrt{2}[/tex] x
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and hypotenuse x
Using Pythagoras' identity on one of the right triangles, then
s² + s² = x²
2s² = x² ( divide both sides by 2 )
s² = [tex]\frac{x^2}{2}[/tex] ( take the square root of both sides )
s = [tex]\sqrt{\frac{x^2}{2} }[/tex] = [tex]\frac{x}{\sqrt{2} }[/tex]
Thus
perimeter = 4s = 4 × [tex]\frac{x}{\sqrt{2} }[/tex] = [tex]\frac{4x}{\sqrt{2} }[/tex]
Multiply numerator/ denominator by [tex]\sqrt{2}[/tex]
perimeter = [tex]\frac{4x\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex] x
Given g(x) = x2-4
Find g(-3)
Answers
Answer:
-10
Step-by-step explanation:
g(-3)=3×3 -4
=9-4
=5
Answer: 5
Step-by-step explanation:
g(x)=x²-4
g(-3)=(-3)²-4
g(-3)=9-4
g(-3)=5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
I NEED THIS ANSWER ASAP!!!! The height of tower A is 644 feet more than tower B. The two towers have a combined height of 1590 feet. What are the heights of each tower?
Answers
Answer: oop ;-;
Step-by-step explanation: We have two basic equations
A = B + 826 A is 826ft taller than B
A + B = 1516 Combined height is 1516 ft
Replace A with B+826 in 2nd equation and solve for B
B + 826 + B = 1516 Combine like terms
2B + 826 = 1516 Subtract 826 from both sides
2B = 690 Divide both sides by 2
B = 690/2
B = 345 ft
We know that A = B + 826 so you simply need to do
that addition to have the height of both towers.
Simplify the algebraic expression. (m - 7) + 5(m - 3)
Answers
Answer:
6m -22
Step-by-step explanation:
(m - 7) + 5(m - 3)
= m - 7 + 5m - 15
= 6m -22
Answer: 6m-22
Step-by-step explanation:
Given
(m-7)+5(m-3)
Take off parentheses/distributive property
= m-7+5m-15
Move like terms together
=m+5m-7-15
Combine like term
=6m-22
Hope this helps!! :)
Please let me know if you have any question
Subtract - 10x + 7y from -15x+6y
Answers
Answer:
Here is the solution solution-
(-15x+6y)-(-10x+7y)
= -15x+6y+10x-7y
= (-15x+10x)+(6y-7y)
= -5x-y
The quotient rule for exponents states that bm bn=_______, b≠0 . When dividing exponential expressions with the same nonzero base, _______ the exponents.
Answers
Answer:
The quotient rule for exponents states that [tex]b^{m}\div b^{n}=b^{m-n}[/tex].
When dividing exponential expressions with the same nonzero base, subtract the exponents.
Step-by-step explanation:
Some rules to solve exponents are:
[tex]x^{0}=1[/tex] [tex](x^{m})^{n}=x^{mn}[/tex] [tex]x^{-n}=\frac{1}{x^{n}}[/tex] [tex]x^{m}\cdot x^{n}=x^{m+n}[/tex] [tex]\frac{x^{m}}{x^{n}}=x^{m-n}[/tex]The quotient rule for exponents states that:
[tex]b^{m}\div b^{n}=b^{m-n}[/tex].
When dividing exponential expressions with the same nonzero base, subtract the exponents.
When dividing exponential expressions with the same nonzero base, subtract the exponents.
Exponential functions in indices
According to the quotient law of indices
[tex]\frac{a^m}{a^n} = a^{m-n} [/tex]Based on the law, you can see that the expoenented was subracted since the base are equal.
The same is applicable to [tex]\frac{b^m}{b^n} [/tex]. this can be expressed as [tex]b^{m-n}[/tex]. This shows that when dividing exponential expressions with the same nonzero base, subtract the exponents.
Learn more on quotient law of indices here: https://brainly.com/question/8952483
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran miles.
1. How many feet is that
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Answer: 5,280
Step-by-step explanation:
Rachel states that -5.5 is an integer because it is negative. Is she correct. Why or why not?
Answers
Answer:
She is incorrect.
Step-by-step explanation:
She is incorrect.
An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.
Here are the integers:
..., -3, -2, -1, 0, 1, 2, 3, ...
-5.5 is not an integer.
Rachel's statement that -5.5 is an integer because it is negative is not correct because -5.5 is a rational number.
Given,
Rachel states that -5.5 is an integer because it is negative.
We need to find out whether Rachel's statement is correct and give a reason.
What are integers?Integers are 0,±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8,......
It includes all whole numbers.
We have,
-5.5 is a negative rational number.
Integer has no decimal point.
-5.5 is not an integer.
Thus Rachel's statement that -5.5 is an integer because it is negative is not correct.
Learn more about the difference between integers and rational numbers here:
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40% of one spig is a spoog. 25% of a speeg is a spoog. 70% of a speeg is a spug. What percent of 1 spig is 5 spugs
Answers
The percentage of 1 spig to 5 spug is 17.9%
What is percentage?
Percentages are essentially fractions where the denominator is 100.
40% of spig =1spoog
25% of speeg = 1 spoog
therefore 40%spig = 25% speeg
1 spig = 25/40 speeg
1 spig = 5/8 speeg
70% of speeg= 1 spug
70/100 speeg = 1 spug
therefore dividing both sides by 100/70
1 speeg = 100/70spug = 10/7spug
similarly 8/5 spig = 1 speeg
therefore 8/5 spig = 10/7 spug
divide both sides by 5/8
1 spig = 50/56 spug
percentage of 1 spig to spug =
89.3 % spug is 1 spig
therefore the percentage of 1 spig of 5 spugs is 89.3% /5 = 17.9%
laern more about percentage from
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Andrew walked 24 laps during a walkathon to raise money for his schools art department. Each las was 1/4 of a mile, and his dad donated $5.25 for every mile that Andrew walked. How much money did Andrew's dad donate?
Answers
Answer:
$31.50
1/4 of 24 is 6 and 6x5.25 is 31.50
Answer:
31.50
Step-by-step explanation:
how to do this question plz answer me step by step plzz
Answers
Answer:
The four angles are;
30 degrees, 85 degrees, 95 degrees , and 150 degrees
Step-by-step explanation:
Call the four angles of this quadrilateral A, B, C, and X (being X the smallest angle)
Then angle A is 55 degrees larger than X , therefore we can write it as X+55
Angle B is 65 degrees larger than X , therefore we can write it as X+65
Angle C is 120 degrees larger than X , therefore we can write it as X+120
Then we know that the addition of all four angles of a quadrilateral must give 360 degrees , so we have:
X + X + 55 +X + 65 + X + 120 = 360
that is:
4 X + 240 = 360
4 X = 360 -240
4 X = 120
X = 120/4
X = 30 degrees
and the other angles are:
30 + 55 = 85 degrees
30 + 65 = 95 degrees
30 + 120 = 150 degrees
The members of a cooking club are making cakes, which they will sell at a street fair for $9 apiece. It cost $50 for a booth at the fair, and the ingredients for each cake cost $4. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How much will the sales and expenditures be?
Answers
Answer:
Sales= $90
Expenditures= $90
Step-by-step explanation:
The members of a cooking club are making cakes.
The cakes will be sold at a street fair price of $9 for each cake.
It cost $50 for a booth at the fair.
The ingredients for each cake cost $4
Let y represent the number of cakes that was sold
Since the price of each cake is $9 then,
Sales = $9y
Since the booth cost $50 and ingredients cost $4 then,
Expenditures = $50 + $4y
Sales = Expenditures
9y= 50 + 4y
Collect the like terms
9y-4y= 50
5y= 50
Divide both sides by the coefficient of y which is 5
5y/5= 50/5
y= 10
Sales= 9×10
= $90
Expenditures= $50 + 4(10)
= $50+$40
= $90
Hence the sales is $90 and the expenditures is $90
Solve for the value of z in this equation:
2z+ 18 = 5z ;
Z =
Answers
Answer:
z=6
Step-by-step explanation:
2z+18=5z
5z-2z=18
3z=18
z=18/3
z=6
Hope this helps!!!
(Please mark me brainliest)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{z = 6}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2z + 18 = 5z}[/tex]
Move 5x to left hand side and change it's sign
Similarly, Move 18 to right hand side and change it's sign
⇒[tex] \sf{2z - 5z = - 18}[/tex]
Collect like terms
⇒[tex] \sf{ - 3z = - 18}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3z}{ - 3} = \frac{ - 18}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{z = 6}[/tex]
Hope I helped!
Best regards!!
(7-2)^2/4+3^4-10
Can somebody please help me please
Answers
Step-by-step explanation:
bodmas
7-4/4+12-10
7-4/16-10
3/4
0.75
what number sets or set does 11 belong to?
Answers
Answer:
Prime number
Step-by-step explanation:
Because it cannot be be multiplied by any other number less then it.
A circle has a circumference of 50.24 units.
What is the radius of the circle?
units
Show Calculator
Answers
Answer:
radius = 8 unitsStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the question
Circumference = 50.24 units
To find the radius substitute the value into the above formula and solve for the radius
That's
[tex]50.24 = 2\pi \: r[/tex]
Divide both sides by 2π
We have
[tex]r = \frac{50.24}{2\pi} [/tex]
r = 7.9959
We have the final answer as
radius = 8 unitsHope this helps you
Answer:
8 units
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
50.24 = 2 * pi * r
Using 3.14 to approximate pi
50.24 = 2 * 3.14 * r
50.24 = 6.28 r
Divide each side by 6.28
50.24/6.28 = r
8 = r
Some 5th grade boys are playing with sugar cubes. Each sugar cube measures 1x1x1 cm. The box is 5 cm long,10 cm high and 12 cm wide. How many sugar cubes can fit in the box
Answers
Answer:
Number of sugar cubes fit in box = 600 sugar cube
Step-by-step explanation:
Given:
Size of sugar cube = 1 x 1 x 1 cm
Size of box.
Length = 5 cm
Width = 12 cm
Height = 10
Find:
Number of sugar cubes fit in box
Computation:
Volume of sugar cube = 1 x 1 x 1
Volume of sugar cube = 1 cm³
Volume of box = 5 x 10 x 12
Volume of box = 600 cm³
Number of sugar cubes fit in box = Volume of box / Volume of sugar cube
Number of sugar cubes fit in box = 600 / 1
Number of sugar cubes fit in box = 600 sugar cube
Answer:
600
Step-by-step explanation:
volume of the cube a^3 = 1×1×1 = 1 cm^3
Volume of the box = 5×10×12 =600 cm^3
No. of the sugar cubes fit in the box = Volume of the box/ vol. of the cube
=600/1 =600
Y=4x-9
(3, )
Complete the missing value in the solution to the equation
Answers
y=4(3)-9
solve for 4(3), which equals 12 and then subtract 9, which would give you y=3.
hope this helps!!
Write the function g(x) as a transformation of the parent function
f(3) = |sc|, where the graph has been vertically compressed by a factor of
ş, shifted right 2 units, and shifted up 10 units.
A g(x) = 12 +2] +10
B g(x) = {\2 + 101 – 2
C g(x) = - +2] + 10
D g(x) = 42-2/+10
Answers
brainleist find the set of which -8/9 belongs to A integers b whole numbers c irrational numbers d real numbers e rational numbers f natural numbers
Answers
Deshaun and Isabel each have opened a savings account today. Deshaun opened her account with starting amount of $590 and she'll take out $35 each month Isabel opened here with a start of $790 and she'll take out $55 per month (A) For each account write an expression for the amount of zkids in the account after x months (B) Write an equation to show when the two accounts would have the same amount of money
Answers
Answer:
Deshaun = $590 - $35x
Isabel : $790 - $55x
$590 - $35x = $790 - $55x
Step-by-step explanation:
For Deshaun :
Amount in her account = $590
Amount she would have withdrawn by month x = $35 × x = $35x
The amount she would have in her account = $590 - $35x
For Isabel :
Amount in her account = $790
Amount she would have withdrawn by month x = $55 × x = $55x
The amount she would have in her account = $790 - $55x
Let x be the time when the money in their account would be equal =
$590 - $35x = $790 - $55x
Prove theorems about triangles examine each triangle
Answers
Answer:
not possible
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
25 + 196 = 400
221=400
at the grocery store, coco choco bars outsells cinnamon granola bars by a five-to-one ratio. if the store sold 246 bars, how many of them were cinnamon granola bars?
Answers
Answer:
41 cinnamon granola bars were sold.
CAN SOMEONE PLEASE HELP ME WITH THIS FUNCTION PROBLEM
Answers
Answer:
Choose f(x) = 11x + 1
Step-by-step explanation:
Note that we will simply plug the value of 2 into the equation for February:
f(2) = 11(2) + 1 = 23
And plug the value of 6 into the equation for June:
f(6) = 11(6) + 1 = 67
Note how the points on the graph seem to match up with these values. If we evaluate following the same style for each:
f(3) = 11(3) + 1 = 34
f(4) = 11(4) + 1 = 45
f(5) = 11(5) + 1 = 56
Note, these values seems to be very close in approximation to the graph points for each month.
The other three functions return values that are just to far away from what are represented in the graph.
Cheers.
You have to simplify this expression.
-2x+3-(5-6x)
Answers
Answer:
4x−2
Step-by-step explanation:
Answer:
4x -2
Step-by-step explanation:
-2x+3-(5-6x)
Distribute the minus sign
-2x+3-5+6x
-2x+6x +3-5
4x -2
Analyze the logical statements to fill in the missing information.
1. If a line is horizontal, then it has a slope of 0.
Hypothesis:
Conclusion:
2. A vertical line has an undefined slope.
The statement in equivalent "if-then" form would be:
Hypothesis:
Conclusion:
Answers
Answer:
1,2,2,1,2
Step-by-step explanation:
on edg
Conclusion: a slope of 0
Hypothesis: is there is a vertical lineConclusion: then it has an undefined slope.
What is Hypothesis?
A hypothesis, in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
given:
1. If a line is horizontal, then it has a slope of 0.
Hypothesis: line is horizontal
Conclusion: a slope of 0.
2. . A vertical line has an undefined slope.
Hypothesis: is there is a vertical line
Conclusion: then it has an undefined slope.
Learn more about hypothesis here:
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You deposit $140 in a bank account that pays an annual interest rate of 3.5%.
How much simple interest will you earn after one year? Show your work.
Answers
Answer:
$4.90
Step-by-step explanation:
Simple Interest = Principle x interest rate x time period
Principle = $140
Interest rate = 3.5% or .035
time = 1 year
interest = 140 x .035 x 1
interest = $4.90
I hope this helps!
-TheBusinessMan
50 divided by a number y
Answers
You have r red balls, w white balls in a bag. If you keep drawing balls out of the bag until the bag now only contains balls of a single color (ie you run out of a color) what is the probability you run out of white balls first
Answers
Answer:
[tex] \frac{w}{w + r} [/tex]
Which table represents a linear function? sorry im dumb ;w;
Answers
Answer:
Your answer is the third option
A linear function has to be added or subtracted by the same number every time. The independent variable is x and the dependent variable is y.
So for side "x" 1 is being added to each number and for side "y" is being subtracted by 2