Answer:
680
Step-by-step explanation:
85x8
Answer: 680 cubic feet
Step-by-step explanation:
V = B * hV = 85 * 8V = 680 cubic fett12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.
Answer:
VY = 16
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.In the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide VX at the ratio of 2: 1 from the vertex V
∴ VY: YX = 2: 1
∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ VY × 1 = YX × 2
∴ VY = 2YX
∵ YX = 8
∴ VY = 2(8)
∴ VY = 16
I need this ASAP please!
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
Which expression is equivalent to V8x7y8 ?
Answer:
the third one
Step-by-step explanation:
can someone help pleaseee its due soon
Answer:is a rectangle
Step-by-step explanation:
Answer:
rectangle
Step-by-step explanation:
Help me find the values of k and p please
Answer:
B
Step-by-step explanation:
The lines marked with ||| are equal. That means that 2P + 7 equals 17
2P + 7 = 17 Subtract 7 from both sides.
2P + 7 - 7 = 17 - 7 Combine
2P = 10 Divide by 2
P = 5
3k - 5 and 28 are marked with one | That means that they are equal
3k - 5 = 28
3k = 28 + 5
3k = 33
k = 33/3
k = 11
The answer is B
You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rises to 400mL. What is the volume of the ping pong ball?
Answer:
200
Step-by-step explanation:
Which of the following explains why space objects are massive in size?
Icy and gaseous material was pushed out by the sun's heat.
Hydrogen atoms fused to form helium due to high pressure.
Large objects clumped together due to gravity to form larger objects.
Large objects were broken apart due to gravity to form fine stellar dust.
Answer: C) Large objects clumped together due to gravity to form larger objects.
Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.
Answer:
Large objects clumped together due to gravity to form larger objects.
Explanation:
All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.
along with this one please
A game room has a floor that is 350 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.
Answer:
70 by 8?
Step-by-step explanation:
lmk if its right lol..
Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the heights and the areas of the two triangles proportional?
YES
Area of Triangle 1Base=b
Height= h
Area 1=A1=1/2*b*h
Area of Triangle 2Base=b
Height= 4h
Area of triangle 2=A2=1/2*b*4h
Comparing A1 and A2A2/A1= (1/2*b*4h)/(1/2*b*h)
= (1/2*b*4h)/(1/2*b*h)
=4/1
Ratio of heights =h2/h1= 4/1
Ratio of areas =A2/A1= 4/1
They are proportional.
Jaden is wrapping presents for his family. He has 7 boxes to wrap altogether. If he has 6 yards of ribbon, how much will he use for each present?
find the smaller number of two consecutive odd numbers such that the sum of the larger numbers and twice the smaller number is 27 less than four times the smaller number
Answer: 29
Step-by-step explanation:
Let the smaller number be x
Let the bigger number be x+2
The information given in the question can be represented in a equation as:
x + 2 + 2x = 4x - 27
3x + 2 = 4x - 27
4x - 3x = 27 + 2
x = 29
The smaller number is 29
complete the sequence. 4,20,100,500
Answer:2500, 125000
Step-by-step explanation:
Multiply by 5
Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.
B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.
C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.
D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
It's on Gradpoint
Answer:
D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
Step-by-step explanation:
Runner A:
Time it takes for him to finish:
t = 26.2/5.6 = 4.679 hours (to complete race)
.
Runner B:
Time it takes for him to finish:
t = 26.2/6.4 = 4.094 hours
BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.
t = 4.094 + .5 = 4.594 hours
Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?
Answer:
53
Step-by-step explanation:
You need the perimeter, which is all sides added together
Answer:
53
Step-by-step explanation:
Perimeter= w+w+h+h
w=width
h=height
w=14.5
h=12
12+12=24
14.5+14.5=29
29+24=53
If the lengths of the sides of a
Switzerland flag are 10 ft, what is the area of the flag?
Find the product.
(-7)(5) =
Answer:
-35
Step-by-step explanation:
Answer:
-35
Step-by-step explanation:
A negative times a positive is a negative number:
-7*5=-35
use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots. must be right ty helppp asap
Answer:
[tex]k>-3[/tex]
Step-by-step explanation:
We have the equation:
[tex]-3x^2-6x+k=0[/tex]
Where a = -3, b = -6, and c = k.
And we want to determine values of k such that the equation will have real, unequal roots.
In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:
[tex]b^2-4ac>0[/tex]
Substitute:
[tex](-6)^2-4(-3)(k)>0[/tex]
Simplify:
[tex]36+12k>0[/tex]
Solve for k:
[tex]12k > -36[/tex]
[tex]k>-3[/tex]
So, for all k greater than -3, our quadratic equation will have two real, unequal roots.
Notes:
If k is equal to -3, then we have two equal roots.
And if k is less than -3, then we have two complex roots.
PLEASE HELP FOR NUMBERS 5 AND 6!! Thank you!
Answer:
Step-by-step explanation:
5. y=40x
6. y=2.2x
2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)
Answer:
yes the both have all the same angles
Step-by-step explanation:
180-90=90
90-35=55
factor the expression -20x - 15
Answer:
−5(4x+3)
Step-by-step explanation:
i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
Question 1 (Multiple Choice Worth 1 points)
(01.02 LC)
Solve for x: 3(x + 1) = 2(x - 1)
0-5
O-4
w
0-2
0-1
Help plssss
Answer:
-5
Step-by-step explanation:
we distribute the 3 and 2 on both sides to get:
3x+3=2x-2
we can subtract 3 on both sides to get
3x=2x-5
Now we subtract 2x on both sides to get
x=-5
Hope this helps :)
What is the product of (y + 3) and (7y – 1)?
Answer: =7y^2+20y−3
Step-by-step explanation:
In 1990 it would have cost $3.70 to send 13 postcards and 7 letters. It would have cost
$2.65 to send 6 postcards and 7 letters. How much did it cost to send a letter in 1990?
Answer:
$0.37
Step-by-step explanation:
This can be solved by solving a system of linear equations that is shown above.
Someone plz help me plz
Answer:
3(24+56)
Step-by-step explanation:
3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3
3(24+56)
Answer:
3(24 +56)
Step-by-step explanation:
sum of 24 and 56 means addition
3 times the sum means multiplication
the format you'd use in math would be 3(24 +56)
Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be
Answer:
24 miles UwU
Step-by-step explanation: G'day mate!
Plz Plz plzzzzzz answer
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
Which statement about these triangles is true?
In the past month, Heather rented 1 video game and 5 DVDs. The rental price for the video game was $3.30. The rental price for each DVD was$4.80 . What is the total amount that Heather spent on video game and DVD rentals in the past month?
Answer:
$27.30
Step-by-step explanation:
$4.80×5=$24.00+$3.30=$27.30