When both sides of the equation are simplified, the coefficients are the same.
Step-by-step explanation:
An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same
Answer:
The answer is A.
Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]
Answer:
[tex]{ \tt{27 = {3}^{3} }} \\ { \tt{}} \sqrt[4]{27} = {27}^{ \frac{1}{4} } \\ { \tt{ = {3}^{3( \frac{1}{4}) } }} \\ = { \tt{ {3}^{ \frac{3}{4} } }} \\ { \boxed{ \bf{a = 3 \: \: and \: \: k = \frac{3}{4} }}}[/tex]
10-
10
A. Exponential growth
B. Linear increasing
C. Exponential decay
D. Linear decreasing
write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y = -5x + 1Step-by-step explanation:
Given:
The slope m = -5 and point (2, -9)Use point slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointSo the equation is:
y - (-9) = -5(x - 2)y + 9 = -5x + 10y = -5x + 1The volume of a cuboid is 975cm3.
The length is 15cm and the width is 130mm.
Work out the height of the cuboid in cm
Answer:
Solution given:
Volume of cuboid=975cm³
length[l]=15cm
width[w]=130mm=13cm
height [h]=?
we have:
Volume of cuboid=l*w*h
975=15*13*h
h=[tex]\frac{975}{195}=5cm[/tex]
The height of the cuboid is 5cm.
Can someone help me with this question
Answer:
Kenji is wrong
Step-by-step explanation:
3⁵ · 4⁵ = (3 · 4)⁵ = 12⁵
but 12¹⁰ ≠ 12⁵
so , kenji is wrong
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?
[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?
[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]
RADIUS = 2
CHORD = 2
RADIUS --> XY , XZ , WX
( BEZ THEY TOUCH CIRCUMFERENCE OF THE CIRCLES AFTER STARTING FROM CENTRE OF THE CIRCLE)
[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]
THE AREA OF THE SHADED SECTOR FORMED BY OBTUSE ANGLE WXY.
[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]
AREA COVERED BY THE ANGLE IN A SEMI SPHERE
[tex]AREA = ANGLE \: \: IN \: \: RADIAN \times RADIUS[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
Total Area Of The Semi Sphere:-
[tex]AREA = \pi \times radius \\ \\ AREA = \pi \times 2 = 2\pi[/tex]
Area Under Unshaded Part .
Given a triangle with each side 2 units.
This proves that it's is a equilateral triangle which means it's all angles r of 60° or π/3 Radian
So AREA :-
[tex]AREA = \frac{\pi}{3} \times radius \\ \\ AREA = \frac{\pi}{3} \times 2 \\ \\ AREA = \frac{2\pi}{3} [/tex]
[tex] \green{Now:- } \\ \green{ \: Area \: Under \: Unshaded \: Part }[/tex]
Total Area - Area Under Unshaded Part
[tex] Area= 2\pi - \frac{2\pi}{3} \\ Area = \frac{6\pi - 2\pi}{3} \\ Area = \frac{4\pi}{3} \: \: ans[/tex]
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
what is the answer to this?
Answer:
any number
Step-by-step explanation:
It is because all real numbers are solutions to this
Answer:
x = infinite solutions
Step-by-step explanation:
[tex]\frac{2}{3}(6x+ 3) = 4x + 2\\\\\frac{12}{3}x + \frac{2 \times 3}{3} = 4x + 2\\\\4x + 2 = 4x + 2 \\\\Which\ is \ true \ for \ all \ values \ of \ x.[/tex]
Can someone help I don’t know how to do this
Answer:
slope is zero
Step-by-step explanation:
This is a horizontal line parallel to the x- axis
Since the slope of the x- axis is zero then the slope of the line is zero
Answer:
its slope is zero
Step-by-step explanation:
the slope of a line is simply the ratio between y- and x-change from one point of the line to another.
you can express it as y/x.
e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).
now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.
so, 0 change in y.
and the slope is 0/"delta x" for "delta x">0
all that means the slope is 0, as 0 divided by anything is always 0.
the function for that line is therefore
y = 0×x + 2.5 or simply
y = 2.5
and the factor of x (in this case 0) is always the slope of the line.
the solution of the quadratic equation x square - 4 x + 4
Answer:
[tex]\rm x = 2 , 2 [/tex]
Step-by-step explanation:
A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,
[tex]\implies x^2 -4x + 4 = 0 [/tex]
Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,
[tex]\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2 [/tex]
Hence the Solution of the equation is 2,2.
Answer:
Step-by-step explanation:
x² - 4x +4 = 0
Factorization method:
Sum = -4
Product = 4
Factor = (-2) ; (-2) {-2 * -2 = 4 & (-2) + (-2) = -4}
x² -4x + 4 = 0
x² - 2x - 2x + (-2)*(-2) = 0
x(x - 2) - 2 (x - 2) = 0
(x - 2) (x - 2) = 0
x - 2 = 0 or x -2 = 0
x = 2 or x = 2
x = 2 , 2
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
Answer:
Moses ran 8 Luis ran 12.
Step-by-step explanation:
.
Number of laps to Louis run is 12 when Moses ran 8 laps.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
Now,
Since, The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3
So, Number of laps Moses ran = 2x
And, Number of laps Louis ran = 3x
If Moses ran 8 laps.
Then, we get;
2x = 8
x = 4
Then, Number of laps Louis ran = 3x
= 3 × 4
= 12
Thus, Number of laps to Louis run is 12 when Moses ran 8 laps.
Learn more about the ratio visit:
https://brainly.com/question/25927869
#SPJ2
I need help with my math work!!!!!!
Answer:
The answer is the first one
Step-by-step explanation:
2+2
f re e
points or whatever
Answer:
2+2 = 4
Step-by-step explanation:
Hope this helps.
Answer:
2 + 2 is 4 my guy
Step-by-step explanation:
thx for the points
A cable 45 m long runs from the top of a utility pole to a point on the ground 40 m from the base of the pole. How tall is the utility pole, to the nearest tenth?
20.6 m
85 m
5 m
60.2 m
Answer:
20.6 m
Step-by-step explanation:
Hi there!
Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.
The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.
We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.
We can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse
Plug in the known information (leg=40, hyp=45)
[tex]40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6[/tex]
Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.
I hope this helps!
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
19,10,1,...
[tex]\displaystyle\bf \underbrace{19}_910{\underbrace{1}_9} \Longrightarrow This\: is \:an \:\:arithmetic\:\: progression[/tex]
I Am offline or Raindowsalt please answer this !
❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]
[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]
To solve, use the algebraic identity ➺
(x + a)( x + b) = x² + (a + b)x + ab[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
For two complementary angles find x. The first angle is 4x+9. The second angle is 2x+27
Answer:
x = 9
Step-by-step explanation:
When sum of two angles is 90, then they are known as complementary angles.
4x + 9 + 2x + 27 = 90
4x + 2x + 9 + 27 = 90
Combine like terms
6x + 36 = 90
Subtract 36 from both sides
6x = 90 - 36
6x = 54
Divide both sides by 6
x = 54/6
x = 9
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answer:
4,895 containers
Step-by-step explanation:
The number of the wooden closed cylinders to be painted, n = 200
The diameter of each cylinder, d = 35 mm = 3.5 cm
The height of each cylinder, h = 7 cm
The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h
Where, π = 3.142, we get;
A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375
The surface area of each cylinder, A = 96.22375 cm²
The total surface area, [tex]A_T[/tex] = n × A
∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75
The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²
7. The base diameter of the tank, d₁ = 2.4 m = 240 cm
The height of the tank, h₁ = 6.4 m = 640 cm
The base radius of each cylinder container, r = 8.2 cm
The height of each cylindrical container, h₂ = 28 cm
The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;
n = (The volume of the tank)/(The volume of a cylinder)
The volume of the tank, V₁ = π·(d²/4)·h₁
∴ V₁ = π × (240²/4) × 640 = 9216000·π
The volume of the tank, V₁ = 9216000·π cm²
The volume of a cylinder, V₂ = π·r²·h₂
∴ V₂ = π × 8.2² × 28 = 1,882.72·π
The volume of a cylinder, V₂ = 1,882.72·π cm²
The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045
Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
A hatbox in the shape of a cylinder is modeled below the diameter of the cylinder is 24 inches the height of the cylinder is 8 inches what is the volume of the cylinder?
Answer:
3619.11 in³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute values:
V = π(24/2)²*8 = 3619.11 in³As we know the,
General formula for volume of cylinder,
→ V = πr²h
Now we can find,
The volume of the cylinder,
→ πr²h
→ π(24/2)² × 8
→ π × 12² × 8
→ 3619.11 in³
Hence, volume of cylinder is 3619.11 in³.
A small point deduction applies if a participation activity's question is not answered correctly the first time?
Answer: False
Step-by-step explanation:
There is no such deduction when a participation's questions are not answered correctly the first time. Whatever answer is given is part of the learning curve and ensures that the activity can be improved upon.
Had there been a small point deduction then there would be no opportunity to learn because there would be too much fear associated with the wrong answer.
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answer:
320-7.500
Step-by-step explanation:
Twenty-seven minus of a number (x) is not more than 36. What is the number?
A.
x > 42
B.
x ≥ -6
C.
x < 3
D.
x ≤ -6
Answer:
D
Step-by-step explanation:
dfjhygcftujnnbiijjhfsrfhhhuu
What are the coordinates of the terminal point for 0 = 4pi/3
Answer:
I hope this helps. There is a link
b
So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.
Step-by-step explanation:
what is the sum of all the exterior angle of a polygon
Answer:
From what I learn it is 360 degrees
When Zero added to any integer, what is the result?
Answer:
answer will be the integer only which was added to zero
The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).
Find the equation of the perpendicular bisector of the side QR
Answer:
Step-by-step explanation:
Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.
Q(-2, -5) & R(8,1)
[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]
So, the slope of the line perpendicular to QR = -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]
Bisector of QR divides the line QR to two half. We have find the midpoint of QR.
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]
slope = 3/5 and the required line passes through (3 , -2)
y - y1 = m(x-x1)
[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]
How do I simplify the expression
Find z
Help me please
Answer: z=56
Step-by-step explanation:
Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.
3y+8=68 [subtract both sides by 8]
3y=60 [divide both sides by 3]
y=20
We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.
360-68-68=224
Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.
Equation 1: 4x=2z
Equation 2: 4x+2z=224
We can manipulate Equation 1 to be [tex]x=\frac{1}{2}z[/tex]. Once we plug that into Equation 2, we can find the value of z.
[tex]4(\frac{1}{2} z)+2z=224[/tex] [multiply]
[tex]2z+2z=224[/tex] [add]
[tex]4z=224[/tex] [divide both sides by 4]
[tex]z=56[/tex]
Now, we know that z=56.
I need the answer ASAP anyone could help me please
Answer:
Is it the answer is C?
2+4+3+5+1=15
Which represents an exterior angle of triangle ABF?
∠BAD
∠AFE
∠CAD
∠CAB
Answer:
∠CAB
Step-by-step explanation:
Exterior angles include two corner points and one point not on the triangle. Thus, ∠CAD would be an exterior angle.
Answer:
Step-by-step explanation:
A triangle has 3 interior angles. In this case, they are
<ABF
<BFA
<FAB
An exterior angle is the supplement of one of the angles. In this case, there is only 1 angle that qualifies -- <CAB which is the supplement of BAF.
All the other choices are not supplements to any of the interior angles such as
<BAD
<AFE
<CAD
How do I do this problem?
Step-by-step explanation:
here is the answer to your question
Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:
[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.
