Answer:
12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²
Step-by-step explanation:
a(b ± c) = ab ± ac (distributive property)
[tex]a^{m} * a^{n} = a^{m+n}[/tex]
2r²(6r³ + 14r² - 30r + 14) = 12 [tex]r^{5}[/tex] + 28 [tex]r^{4}[/tex] - 60 r³ + 28 r²
Answer: 2r2(6r3+14r2−30r+14)
Step-by-step explanation:
Apply the distributive property
2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14
Simplify
2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2
Simplify each term
12r5+28r4−60r3+28r2
Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options
The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
What is incenter of triangle?
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle. The incenter of a triangle is also known as the center of a triangle's circle since the largest circle could fit inside a triangle. The circle that is inscribed in a triangle is called an incircle of a triangle.
According to the question
Point A is the incenter of triangle DEF .
Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. (X,Y,Z are points on middle of sides )
Now,
According to the properties of incenter of the triangle
1.> The circle that is inscribed in a triangle is called an incircle of a triangle.
i.e
Point A is the center of the circle that passes through points X, Y, and Z.
2> The incenter of a triangle is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle.
i.e
Line segment A X is-congruent-to line segment A Y .
3> A triangle's incenter always lies inside the triangle.
i.e
Point A is always inside triangle DEF .
Hence, The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
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Estimate the quotient using compatible numbers.
3,512 ÷ 9
30
400
300
40
Answer:
400. just use simple devision and it'll tell you.
Write the equation of a quadratic function whose graph has x-intercepts at x=3 and x=-4 and a y-intercept at 48.
Answer:
Step-by-step explanation:
okay i will answer but i dont see the question
solve for x. √(x+3)=2√(x-1)
Answer:
I got 7/3
Step-by-step explanation:
Hope this helps!!
Answer:
exact form: x=7/3
decimal form: x=2.3 (repeating)
mixed number: x= 2 1/3
Step-by-step explanation:
The elevator of a building is currently 10 feet above ground level on the first floor. The building's elevator rises at a rate of 5 feet per second. You enter the elevator on the first floor. Let t, represent the number of seconds you are in the elevator and h(t) represent the height of the elevator (in feet). Write an equation for h(t) b. What will your height be in 12 seconds? c. What does h(5) = 35 represent?
Answer:
[tex]h(t) = 10 + 5t[/tex]
70 feet
Your height in 5 seconds is 35 feet
Step-by-step explanation:
From the question, we understand that:
[tex]Initial\ Height = 10[/tex]
[tex]Rate = 5[/tex] per second
Solving (a): Equation for h(t)
This implies that the height at t seconds and is calculated as thus:
[tex]h(t) = Initial\ Height + Rate * t[/tex]
Where t represents seconds
Substitute values for Initial Height and Rate
[tex]h(t) = 10 + 5* t[/tex]
[tex]h(t) = 10 + 5t[/tex]
Solving (b): Height in 12 seconds
This implies that:
[tex]t = 12[/tex]
Substitute 12 for t in [tex]h(t) = 10 + 5t[/tex]
[tex]h(12) = 10 + 5 * 12[/tex]
[tex]h(12) = 10 + 60[/tex]
[tex]h(12) = 70[/tex]
Hence, your height will be 70 feet
Solving (c): h(5) = 35 means?
Using the illustration in (b) above;
This means that your height in 5 seconds is 35 feet
Need answer ASAP
A book weighing 1.0 newton is lifted 2 meters. How much work was done?
(Calculating work and power)
Formulas: Work= force × distance
Power= work/time or power= (force × distance)/time
The population of a municipality in the beginning of 2071 B.S. was 1,80,000 and at
the end of 2073 B.S. was 2,39,580. Find the rate of growth of population per year.
The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?
Answer:
The width is 20.625 and the length is 19.375
Step-by-step explanation:
Let 2 1/2 + w = length
Let w = width
Equation:
2 1/2 + w + w = 80 Combine liked terms
2 1/2 + 2w = 80
-2 1/2 -2 1/2 Subtract 2 1/2 from both sides
2w = 77.5
÷ 2 ÷ 2 Divide 2 from both sides
w = 41.25
Length:
2 1/2 + 41.25 = 165/4 or 38.75
Width:
41.25
41.25/2 = 20.625
38.75/2 = 19.375
Please help will mark brainliest if correct
Answer:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
The table shows the cost of ordering a certain number of pizzas. What is the
value of x if the cost is proportional to the number of pizzas ordered?
Answer:
y=px
so the answer would be $49.95
pretty sure
Step-by-step explanation:
What is the image of (0,–8) after a reflection over the line y = –2?
Pls help 2n+8>12 ............................................................
Given:
The inequality is
[tex]2n+8>12[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]2n+8>12[/tex]
Subtract 8 from both sides.
[tex]2n+8-8>12-8[/tex]
[tex]2n>4[/tex]
Divide both sides by 2.
[tex]\dfrac{2n}{2}>\dfrac{4}{2}[/tex]
[tex]n>2[/tex]
It means, the value of n is greater than 2.
Therefore, the solution of given inequality is n > 2.
Please hurry bb :) Please don't put the wrong answer if u don't know <3
Sketch a 9 red counters and 4 yellow counters.How many zero pairs can you make?How many counters do you have after you remove the zero pairs? What do they represent
Answer:
36.75 and 1/6 ( 6 accounts equally distributed )
Step-by-step explanation:
Number of Red counters to be sketched = 9
Number of Yellow counters = 4
The number of Zero pairs that can be made = 36.75
When you remove the Zero pairs the number of counters you would have = 6 accounts ie. 1/6
Evaluate the expression 2(3x-2y) when x=5 and y=2
Answer:
22
Step-by-step explanation:
2(3(5)-2(2)
2(15-4)
2(11)
2*11=22
100x 500 please help me with this quickly
Answer:
50000
Step-by-step explanation:
Answer:
The answer is 50000
Step-by-step explanation:
The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?
Answer:
2.5
Step-by-step explanation:
Use a property of exponents to simplify. 3Use as the base.
Answer:
3^4 because when u divide exponents w same base just subtract the exponents
Step-by-step explanation:
Mr. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plus $0.55 per mile driven, which expression shows the amount he will pay if m=the number of miles driven?
A. 75m+.55
B. 75+0.55m
Answer:
B. [tex]75 + 0.55m[/tex]
Step-by-step explanation:
We know that the constant is $75. You only pay this once.
Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.
This means that the equation will look like:
[tex]75 + 0.55m[/tex]
Hope this helps! :)
How does place value
help me subtract decimals?
Place Value helps you subtract decimals because without it it would be a mess. Everything has to be in order if not you get the wrong answer
Factor the following expression :x3 + x2
Answer:
x^2(x+1)
Plz let me know if im wrong!!!
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
Can ya help me
PLEASE EXPLAIN
Answer: D
Step-by-step explanation:
The point in the grid if you divide by 2 will give you the prime points. Also it flips over the y axis.
If the shirts $42 and it's on sale for $15 how much is a shirt now
Answer:
I think its 27
Step-by-step explanation:
If the vurrent cost is 15 then it took 27 dollars off the original amount
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove
to get to the safe zone at 24 meters per second. After 4 seconds of driving, she was 70 meters away from the
safe zone.
iiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
142meters
There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property? StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction StartFraction 100 times 5 Over 20 times 5 EndFraction = StartFraction 500 Over 100 EndFraction StartFraction 20 times 4 Over 25 times 4 EndFraction = StartFraction 80 Over 100 EndFraction StartFraction 20 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 5 Over 25 EndFraction
Answer:
All you have to do is find 20% of 25
Remember that you have to change the percent to decimal
20% = 0.2
0.2 × 25 = 5
The equation that should be used to find the number of oak trees on the property is 20% of 25.
Given that,
There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees.Based on the above information, the calculation is as follows:
= 20% of 25
= 5
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Given f(x) = 11 - 7x, evaluate f(-2).
Answer:
-7*-2=14+11=25
Step-by-step explanation:
Given the function below, find f(7) f(x)=-x^2+9x
Answer:
14
f(x) = 7
-7^2 + 9(7)= -49 + 63 = 14
Chandler tells Aubrey that the decimal value of − 1 17is not a repeating decimal. Should Aubrey believe him? Explain.
Answer:yes no maybe soooo
Step-by-step explanation:
how do you know that the repeating decimal 0.555... can be written as a fraction
Answer:
555/1000
Step-by-step explanation:
I guess it is the answer.
