Answer:
Step-by-step explanation:
M is the midpoint. SO length of XM equals length of MY
MY = XM
9x + 12 = 5x + 8
Subtract 12 from both sides
9x = 5x +8 - 12
9x = 5x - 4
Subtract 5x from both sides
9x - 5x = -4
4x = -4
Divide both sides by 4
x = -4/4
x = -1
XY = 5x + 8
= 5*(-1) + 8
= -5 + 8
XY = 3
MY = 9x + 12
= 9*(-1)1 + 12
= -9 + 12
MY = 3
X Y = 3+3
XY = 6
He
Find the volume of this cylinder. Use 3 for pi
V = ?
Answer:
30in^3
Step-by-step explanation:
3x1^2x10=
3x1x10=
30
30in^3
Answer:
30 in^3
Step-by-step explanation:
The formula given for the volume of a cone is:
V = πr^2h
The formula needs the radius, but the picture just shows a diameter.
We know that the radius is always twice the diameter so:
Diameter: 2 in
2 ÷ 2 = 1
So the radius is 1 inch
Use the formula to determine the volume:
πr^2h
= 3(1^2)(10)
= 3(1)(10)
= (3)(10)
= 30
Hope this helps
7). Express 98 in base 2
ANSWER
1100010
EXPLANATION
converting 9810 to 2
The equation calculation formula for 98 base10 number to base 2 is like this below.
2|98|
2|49|0
2|24|1
2|12|0
2|6|0
2|3|0
2|1|1
2|1|1
Ans:1100010 base2
What is the soution of (Image below)
Answer:
A
Step-by-step explanation:
Starting with the original equation:
[tex]\sqrt{1-3x} =x+3[/tex]
Squaring both sides to remove the root, and expanding the right side:
[tex]1-3x=(x+3)(x+3)[/tex]
Multiplying the right side:
[tex]1-3x=x^{2} +6x+9[/tex]
Combine like terms:
[tex]x^{2} +9x+8[/tex]
Factor:
(x+8)(x+1)
If x+8=0, then x= -8
If x+1=0, then x=-1
Describe the solution of h(x) shown in the graph.
a parabola opening up passing through negative 1 comma zero, zero comma negative 2, and 2 comma zero
A. All solutions that lie on h(x)
B. All real solutions
C. All whole number solutions
D. All positive solutions
Answer:
Step-by-step explanation:
This is a reading question. You have to know what all the terms mean.
B: is the first one you have to think about. All real solutions. Is that the answer, or do you have to think about it more. The key word is solutions. So that takes in A. So B is the answer.
A is the second best answer. Any solution has to be on the blue line. The blue line is the visual record of what works in B. Well, why not pick A? It is because B is more general, and it includes A.
C More than whole numbers solve this question. The line is continuous.
D There are negative solutions as well. Not the answer.
Answer:
the answer is A. All solutions that lie on h(x)
i took the test
Step-by-step explanation:
Get three real world examples of a rectangle prism
Answer:
a shipping container ,the ones they use in large cargo ships
answer and or help would be much appreciated work is due and needs to be submitted
Answer:
1. D
2. C
3. B
4. A
Step-by-step explanation:
just match up the number y is on the right side and x on the left side like this (x,y)
f(x) = square root 32x
g(x) = square root 2x
Given:
The two functions are:
[tex]f(x)=\sqrt{32x}[/tex]
[tex]g(x)=\sqrt{2x}[/tex]
To find:
The [tex](f\cdot g)(x)[/tex]. Assume [tex]x\geq 0[/tex].
Solution:
We have,
[tex]f(x)=\sqrt{32x}[/tex]
[tex]g(x)=\sqrt{2x}[/tex]
Now,
[tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]
[tex](f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}[/tex]
[tex](f\cdot g)(x)=\sqrt{32x\times 2x}[/tex]
[tex](f\cdot g)(x)=\sqrt{64x^2}[/tex]
[tex](f\cdot g)(x)=8x[/tex]
Therefore, the correct option is A.
please help....Which fraction has the greatest value?
Answer:
5/6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
Any negative number couldn't count as more than a positive. 5 is more than 1, so the correct answer has to be 5/6.
Find (a) the mean, (b) the median, and
(c) the mode of the number of verses in
the first eight chapters of Proverbs.
Proverbs 1 23 4 5 6 7 8
Verses 33 22352723352736
(a)
(b)
(c)
Answer:
Mean = 33+ 22+35+27+23+35+27+36 = 238/8 = 29.75
Median = 27+23 = 50/2 = 25
Mode = 35
Range = 36 - 22 = 14
Step-by-step explanation:
Stay Blessed
Sean is a bookworm. On average, he reads pages in minutes.
Answer:
wow thats very interesting
Step-by-step explanation:
whats ur question
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
A rectangle has an area of 18 cm2
The lengths of the sides are whole numbers.
How long could the sides of the rectangle be?
Give all the examples you can think of
Answer:
9 possible values of length and breadth.
Step-by-step explanation:
Given that the area of the rectangle is 18cm² . And the lengths of the sides are whole numbers. We need to tell the possible dimensions of the rectangle .
Let :-
[tex]\rm\implies Length = x [/tex]
[tex]\rm\implies Breadth = y [/tex]
We know that :-
[tex]\rm\implies Area = length \times breadth [/tex]
Put in the assumed variables[tex]\rm\implies Area = x y \\\\\rm\implies xy = 18cm^2 [/tex]
Now look out for the possible factors of 18 . That is , ( 1 × 18 ) , ( 2 × 9) , ( 3 × 6 ) , ( 6 × 3 ) , ( 9 × 2 ) , (18 × 1 ) . That is total 9 possible values .
Two friends enter a contest. Kelsey scored 200 more points than Jake. Together,
they collected a total of 1250 points. How many points did they each score?
Subtract the amount Kelsey got more than Jake from the total:
1250 - 200 = 1050
Divide by 2:
1050/2 = 525
Jake got 525
Kelsey got 525 + 200 = 725
the diagram below shows a square inside a regular hexagon. The apothem of the hexagon is 18.11 units. To the nearest square unit, what is the area of the shaded region.
A. 1027 square units
B. 1087 square units
C. 862 square units
D. 1948 square units
the answer is 862sq units probably
Factor -1.8 out of 3.6b-9
=================================================
Explanation:
Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.
The same thing applies to this current problem as well.
Divide each term by the -1.8 we want to factor out.
(3.6b)/(-1.8) = -2b(-9)/(-1.8) = 5The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)
You can use distribution to verify this
-1.8(-2b+5)
-1.8*(-2b) - 1.8*(5)
3.6b - 9
For a project in his Geometry class, Tyler uses a mirror on the ground to measure the height of his school building. He walks a distance of 14.65 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answer:
The height of the school building is approximately 21.06 meters
Step-by-step explanation:
The method of Geometry Tyler is using to determine the height of his school building is through the property that similar triangles have a common ratio of corresponding their sides
The given parameters for the triangle formed by Tyler and the mirror are;
The distance from Tyler's eyes to the ground = 1.15 meters
The horizontal distance between Tyler and the mirror at X = 0.8 m
The parameters of the triangle formed by the height, h, of the school building and the mirror at X are;
The horizontal distance between the school building and the mirror = 14.65 m
The height of the school building = h
Therefore, we have;
[tex]\dfrac{The \ distance \ from \ Tyler's \ eyes \ to \ the \ ground}{The \ height \ of the \ school \ building} =\dfrac{Tyler's \ horizontal \ distance \ from \ mirror }{The \ building \ to \ mirror \ horizontal \ distance }[/tex]Therefore;
[tex]\dfrac{1.15 \, m}{h} = \dfrac{0.8 \ m}{14.65 \ m}[/tex]
[tex]h = \dfrac{1.15 \, m \times 14.65 \, m }{0.8 \, m} = 21.059375 \ m[/tex]
The height of the school building h to the nearest hundredth meter ≈ 21.06 m.
Figure A is a scale image of Figure B. What is the value of x?
khan academy
Answer:
maybe 12 because
Step-by-step explanation:
30/25=1.2
10×1.2=12
Describe the error Sadie made, and explain how to find the correct answer.
Answer:
She could've factored further
Step-by-step explanation:
a^5 can be written as a^4*a
so the answer should've been 3a^3b*sqrt(6ab)
BRAINLIEST PLEASEEEEEEEEEEE
Answer:
She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).
[tex] 3a^3b\sqrt{6ab} [/tex]
Step-by-step explanation:
She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).
Correct answer:
[tex] 3a^3b\sqrt{6ab} [/tex]
Solve: 4(x + 3) ≤ 44
x ≥ 16
x ≤ 16
x ≤ 8
x ≥ 8
Please help
Answer:
C
Step-by-step explanation:
[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
what are evidence that the himalayas mountains are still rising
Answer:
The Himalayas are still rising by more than 1 cm per year as India continues to move northwards into Asia, which explains the occurrence of shallow focus earthquakes in the region today. However the forces of weathering and erosion are lowering the Himalayas at about the same rate.
Step-by-step explanation:
we can tell that the himalayas are still rising because of the movement of india northwards into asia,so the more india moves to the north the more the himalayas rise by more than 1cm.
The diagram shows a right angle triangle find the size of x give your answer to 1 decimal place
Answer:
34.9°
Step-by-step explanation:
SOH
CAH
TOA
SOH ... sin(x) = 8/14
arcsin(8/14) = 34.85°
Help please guysss will mark as brainliest!
solve for x -3x+2=-11 please
Answer:
6.5
Step-by-step explanation:
We need to solve out for x , the given Equation is ,
[tex]: \implies[/tex] x - 3x + 2 = -11
[tex]: \implies[/tex] -2x = -11 -2
[tex]: \implies[/tex] -2x = -13
[tex]: \implies[/tex] x = -13/-2
[tex]: \implies[/tex] x = 6.5
Answer:
x = 6.5
Step-by-step explanation:
[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]
Casey wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
Answer:
x=6
Step-by-step explanation:
150+35x=60x
-35x -35x
150= 25x
What is the least common multiple of 50, 41, and 30?
Hello!
[ 50; 41; 30 ] = ?
50 | 2 × 5
5 | 5 => 50 = 2 × 5²
1 |
41 | 41 => 41 = 41
1 |
30 | 2 × 5
3 | 3 => 30 = 2 × 3 × 5
1 |
[ 50; 41; 30 ] = 2 × 3 × 5² × 41 = 2 × 3 × 25 × 41 = 6 × 25 × 41 = 150 × 41 = 6150
Good luck! :)
Equation for the length of a rectangle is two more than three times the width area is 161
Answer:
l = 3w+2
l = 23
Step-by-step explanation:
The area of a rectangle is
A = lw where l is the length and w is the width
l = 3w+2
A = 161
161 = (3w+2) *w
Distribute
161 = 3w^2 +2w
Subtract 161 from each side
0=3w^2 +2w -161
Factor
0=(w-7)(3w+23)
Using the zero product property
w-7 =0 3w+23 =0
w=7 w = -23/3
Since the width cannot be negative
w=7
l = 3w+2
l = 3(7)+2
l = 21+2 = 23
Length = 3w + 2 = 23.
Step-by-step explanation:
Given :-
The length of a rectangle is two more than three times the width = ( 3w + 2 )Let width of rectangle be w.Area of rectangle = 161.Find :-
Length of rectangle .Solution :-
We know that ,
Area of rectangle = Length × Width.
Substitute the values161 = (3w + 2) × w
Distribute w .161 = 3w² + 2w
Move constant to the left-hand side and change their signs.0 = 3w² + 2w - 161
Split the middle term- 2w as 23w - 21w.0 = 3w² + 23w - 21w - 161.
Factor out w from first pair and -7 from second pair.0 = w ( 3w + 23 ) -7 ( 3w + 23)
Factor out 3w + 23.0 = (3w + 23 ) ( w - 7)
Using zero product property.w - 7 = 0 , 3w + 23 = 0
Solve for w.w = 7 , w = -23/3
Since, width of rectangle can't be negative.
so, w = 7 is right value of width.
Calculate for Length.
length = 3w + 2 ( plug the value of width)
length = 3 ( 7 ) + 2 Length = 21 + 2Hence, length = 23
As x increases by 1 unit, what is the exponential growth factor??
Given:
The graph of an exponential function.
To find:
The exponential growth factor as x increases by 1 unit.
Solution:
From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
Putting [tex]x=1,y=1[/tex] in (i), we get
[tex]1=ab^1[/tex] ...(ii)
Putting [tex]x=3,y=9[/tex] in (i), we get
[tex]9=ab^3[/tex] ...(iii)
Divide (iii) by (ii).
[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]
[tex]9=b^2[/tex]
[tex]3=b[/tex]
b is the the growth factor and the value of b is 3.
Therefore, the exponential growth factor is 3 as x increases by 1 unit.
Answer:
exponential growth factor is 3
Step-by-step explanation:
HELP. Drag the tiles to the correct boxes to complete the pairs.
Match each product of complex numbers with its value.
Answer:
[tex]i^{2} (2i^{2} -5)[/tex]
[tex]2i^{2} \times i^{2} -5i^{2}[/tex]
[tex]2(-1)(-1)-5(-1)[/tex]
[tex]2+5[/tex]
[tex]=7[/tex] [tex]i^{2}(2i-5)[/tex]
------------------
[tex]i^{2} (3+i^{2} )[/tex]
[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]
[tex](-1)3+(-1)(-1)[/tex]
[tex]-3+1[/tex]
[tex]-2[/tex] [tex]=i^{2} (3+i^{2} )[/tex]
---------------------
[tex]2i(2i-i^{3} )[/tex]
[tex]2i\times 2i-i^{3} \times2i[/tex]
[tex]4i^{2} -2i^{4}[/tex]
[tex]4(-1)-2(1)[/tex]
[tex]-4-2=[/tex]
[tex]-6=2i(2i-i^{3} )[/tex]
-------------------
[tex]i(4i^{3} -i)[/tex]
[tex]4i^{3} \times i-i\times i[/tex]
[tex]4i^{4} -i^{2}[/tex]
[tex]4(1)-(1)[/tex]
[tex]4+1=5[/tex]
--------------------
ANSWER:
[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]
[tex]5\Longrightarrow i(4i^{3} -i)[/tex]
[tex]7\Longrightarrow i^{2} (2i-5)[/tex]
[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]
----------------------------
Hope it helps...
Have a great day!!
What is the volume of the figure below?
Answer:
[tex]896 \pi~m^3[/tex]
Step-by-step explanation:
[tex] V_{cylinder} = \pi r^2 h [/tex]
[tex] V_{cylinder} = \pi (8~m)^2 \times (14~m) [/tex]
[tex]V_{cylinder} = 896 \pi~m^3[/tex]