Answer:
y - 1 = - 3(x + 8)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
• Parallel lines have equal slopes
the equation ofa line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - 3 and (a, b ) = (- 8, 1 ) , then
y - 1 = - 3( x - (- 8) ) , that is
y - 1 = - 3(x + 8)
How do you fully factorise 15p^2+24p
How many square feet of outdoor carpet will
we need for this hole?
Hey you man what are you doing here go to there
omg im so sorry but i need help again guys:(
The expression for the side length of the bulletin board is √n (option B).
What is the expression for the side length?A square is an object with four sides that are of equal length. The sum of angles in a square is 360 degrees. A square has two diagonals that are of equal length that bisect each other at a right angle.
The area of a square can be determined by calculating the square of a side length.
The area of a square = length x length
= length²
If the area of a square is given, to determine its side length, find the square root of the area.
Length of a side = √area
√n
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The probability of rolling a six on a bias dice
is 1/5
Work out the probability of rolling exactly
one six
The probability of rolling exactly one six = 0.04
what is probability ?
Probability is a branch of mathematics that deals with the occurrence from of a random event . the value is expressed from zero to one .Probability has been introduced in mathematics to predict how likely events are to happen .
So , acc the question "exactly one six " means that one roll so that probability must be doubled the probability of " not six " is 4/5 . the probability of a 6 on the roll and not on the second is 1/5 x 4/5 =4/ 25 .
The six could come on the second roll so thst probability must be doubled .
the overall probability of exactly one six 8/25 or 0.32
completing toatl probability -no sixes =4/25 x 4/25 =16/25 =0.04
two sixes =1/5x 1/5 =1/25= 0.04
Hence , the probability of rolling exactly one six = 0.04
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What are the rules for the order of calculations/operations in an expression?
Answer:
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
PEMDAS
multiplication and division are on the same level, when you see both work from left to right
addition and subtraction are also on the same leve, work from left to Right
P > E > M = D > A = S
Answer:
p e m d a s
Step-by-step explanation:
I hope it's helpful for you
B.10 Midpoint formula: find the midpoint 2YG
A line segment has the endpoints U(19, 6) and V(17, -3). Find the coordinates of its midpoint
M.
Write the coordinates as decimals or integers.
M =
Submit
Work it out
Please help
Answer:
Midpoint formula is given as [(x1+x2)÷2, (y1+y2)÷2], where x and y are coordinates of the points.
Midpoint = [(19+17)÷2, (6+(-3))÷2]
= (36÷2, 3÷2)
= (18, 1.5)
Consider a rectangular prism with a volume of 24 cubic centimeters. What could be the dimensions of the rectangular prism? Match each set of length and width with the correct height to complete the possible dimensions of rectangular prisms with volumes of 24 cubic centimeters. Prism M Length = 4 cm Width = 1 cm Prism W Length = 2 cm Width = 2 cm Prism Z Length = 6 cm Width = 1 cm Prism J Length = 2 cm Width = 4 cm Prism R Length = 2 cm Width = 3 cm Prism F Length = 1 cm Width = 8 cm
The dimensions of the rectangular prisms are:
Prism M: l=4 cm , w=1 cm and h=6 cm
Prism W: l=2 cm , w=2 cm and h=6 cm
Prism Z: l=6 cm , w=1 cm and h=4 cm
Prism J: l=2 cm , w=4 cm and h=3 cm
Prism R: l=2 cm , w=3 cm and h=4 cm
Prism F: l=1 cm , w=8 cm and h=3 cm
Given, a rectangular prism with a volume of 24 cm³
Dimensions of the prism if the volume is 24 cm³.
Prism M:
l=4 cm and w=1 cm
we know that volume = h×l×w
h×4×1=24
4h=24
h=24/4
h=6 cm
Prism W:
l=4 cm and w=2 cm
we know that volume = h×l×w
h×2×2=24
4h=24
h=24/4
h=6 cm
Prism Z:
l=4 cm and w=1 cm
we know that volume = h×l×w
h×6×1=24
6h=24
h=24/6
h=4 cm
Prism J:
l=2 cm and w=4 cm
we know that volume = h×l×w
h×2×4=24
8h=24
h=24/8
h=3 cm
Prism R:
l=2 cm and w=3 cm
we know that volume = h×l×w
h×2×3=24
6h=24
h=24/6
h=4 cm
Prism F:
l=1 cm and w=8 cm
we know that volume = h×l×w
h×1×8=24
8h=24
h=24/8
h=3 cm
hence we get the required dimensions.
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Please help immediately!!
What is the value of z in the system shown below?
x+y+z=6
x + 2y = 5
2x+z = 5
========================================================
Explanation:
I'll use the substitution method to solve this system of equations.
Solve the third equation for z
2x+z = 5
z = 5-2x
Then solve the second equation for y
x+2y = 5
2y = 5-x
y = (5-x)/2
y = -0.5x+2.5
Plug each of these into the first equation so we can solve for x.
x+y+z = 6
x+(-0.5x+2.5)+(5-2x) = 6
-1.5x+7.5 = 6
-1.5x = 6-7.5
-1.5x = -1.5
x = (-1.5)/(-1.5)
x = 1
Let's use this to find y and z
y = -0.5x+2.5 = -0.5*1+2.5 = 2
z = 5-2x = 5-2*1 = 3
Therefore,
x = 1
y = 2
z = 3
Or we can write it like this: (x,y,z) = (1,2,3)
-------------------
Check:
Plug these values into equation 1 and simplify
x+y+z = 6
1+2+3 = 6
6 = 6
We get the same thing on both sides.
This confirms equation 1.
Repeat for equation 2.
x+2y = 5
1+2*2 = 5
1+4 = 5
5 = 5
This confirms equation 2.
Lastly, plug those values into equation 3
2x+z = 5
2*1+3 = 5
2+3 = 5
5 = 5
Equation 3 is confirmed.
All three equations are true when (x,y,z) = (1,2,3). The solution is fully confirmed.
PLEASE, PLEASE HELP WILL GIVE BRAIBNLIEST PLEASE HELP!!! QUESTION IN THE IMAGE BELOW.
Answer:
25/6
Step-by-step explanation:
We determine the scale factor by comparing the lengths of corresponding sides of the square.
The length of O’N’=15 and the length of ¯¯¯¯¯¯¯¯¯¯¯ON=9
The equation for the scale factor, k is then given by:
O’N’=kON
15=9k
K= 15/9= 5/3.
The scale factor is k= 5/3
10^-3 x 10^6
please write in the form of powers/ index notation (for example, 7^5 or 10^-4)
It should be noted that 10^-3 × 10^6 in scientific notation is 10³.
How to illustrate the information?It should be noted that scientific notation is simply used in Mathematics to express the numbers that are either too small or too large.
This will be illustrated based on the information given. In this case, we want to multiply 10^-3 × 10^6. This will be illustrated thus:
= 10^-3 × 10^6.
It should be noted that since the question is about multiplication, the powers will be added.
= 10^-3 × 10^6.
= 10³
The answer is 10³.
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what percent of 30 is 36
Answer:
10.8
Step-by-step explanation:
30% of 36
= 30/100 * 36
= 3/10 * 36
= 108/10
= 54/5
= 10.8
Hope this helps and feel free to mark this as brainliest :)
(Scientific Notation in the Real World MC)
A TV show had 5.6 x 105 viewers in the first week and 4.1 x 105 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.
9.7 x 1010
9.7 x 105
4.85 x 1010
4.85 x 105
The average number of viewers over the two week is D. 4.85 x 10^5.
How to calculate the value?It should be noted that the scientific notation simply has to do with writing of numbers that are either too large or too small. This will be illustrated thus:
In this case, the TV show had 5.6 x 10^5 viewers in the first week and 4.1 x 10^5 viewers in the second week.
Therefore, the average number of viewers over the two weeks will be:
= (5.6 × 10^5) + (4.1 × 10^5) / 2
= 4.85 × 10^5
Note that we had to divide by 2 since it's average.
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how do you know if shapes are congruent
Answer:
Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.
Answer: Congruent mean same/equal
Step-by-step explanation: So if the have the same height,width, radius,or even angles, they can be congruent.
"I NEED HELP PLS" The following figure is made of 1 triangle and 2 rectangles.
Find the area of each part of the figure and the whole figure.
Figure Area (square units)
Rectangle A
Triangle B
Rectangle C
Whole figure
The value of the area are;
Rectangle A = 54 square units
Triangle B = 2 square units
Rectangle C = 6 square units
Whole figure = 62 square units
How to determine the area of the composite figureThe formula for determining the area of a rectangle is expressed as;
Area = lw
Where;
l is the length of the rectanglew is the width of the rectangleFrom the figure shown, we have two rectangles
Area of the bigger rectangle;
Length = 9
Width = 6
Now, substitute the value
Area = 9(6)
Multiply through
Area = 54 square units
Area of the smaller rectangle
Length = 9 - 7 = 2
Width = 9 - 6 = 3
Substitute the values
Area = 2(3)
Multiply through
Area = 6square units
The formula for area of a triangle is expressed as;
Area = 1/2 base× height
Base = 9 - 6 = 3
Height = 9 - 2 = 3
Substitute the value
Area = 1/ 2 ×2(3)
Area = 6/ 3
Area = 2
The total area = Rectangle A + rectangle B + Triangle
Total area = 54 + 6 + 2
Total area = 62 square units
Hence, the area is 62square units
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Answer:
A=54 B=3 Whole=73
Step-by-step explanation:
I know this because i did this aswell
What is the slope of the line represented by the equation y = 4/5x -3?
Answer: 4/5
Step-by-step explanation:
y = mx + b
m represents the slope in this line.
Answer:
4/5
Step-by-step explanation:
Equation is in slope intercept form:
[tex]y = mx + b[/tex]
where m is the slope and b us the y-intercept
so, slope is 4/5
Complete the table with ordered pairs that give coordinates of points that lie on the line shown in the graph
mom walks at a speed of 6 miles per hour. how long will it take her to walk 1 mile?
A rectangle with a width of x feet and height of StartFraction 7 over 2 EndFraction feet.
Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7
2
feet. How long will the other side of the fence be? Write the answer in decimal form.
The long side will be
feet.
The other side of the fence based on the information illustrated is 6.5 feet.
How to calculate the length?It should be noted that the perimeter of a rectangle is illustrated as:
= 2(length + width)
In this case, the width is given as 7/2 = 3.5 feet.
It should be noted that the perimeter is given as 20 feet.
Therefore, the length will be:
2(length + width) = 30
2(length + 3.5) = 20
2Length + 7 = 20
2L = 20 - 7
2L = 13
L = 13/2
L = 6.5
Therefore, the length is 6.5 feet.
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omsomfigure2.52base a 20 cmfigure B:ta20 cm5 pmfigure.boromomsomfigure D:tasarea 2018.paretAmong these figures, gureand figurehave the same volume
We will compute the volume of each figure.
1) Figure A
We have a cone with:
• Ab = base area = 20 cm²,
,• h = heigh = 5 cm.
The volume of the cone is:
[tex]V_A=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot5\operatorname{cm}\cong33.3cm^3\text{.}[/tex]2) Figure B
We have a cylinder with:
• Ab = base area = 20 cm²,
,• h = heigh = 6 cm.
The volume of the cylinder is:
[tex]V_B=A_b\cdot h=20cm^2\cdot6\operatorname{cm}=120cm^3.[/tex]3) Figure C
We have an inclined cylinder with:
• Ab = base area = 20 cm²,
,• h = heigh = 5 cm.
The volume of the inclined cylinder is:
[tex]V_C=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]4) Figure D
We have a parallelepiped with:
• Ab = base area = 20 cm²,
,• h = heigh = 5 cm.
The volume of the parallelepiped is:
[tex]V_D=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]5) Figure E
We have an inclined square pyramid with:
• Ab = base area = 20 cm²,
,• h = heigh = 10 cm.
The volume of the square pyramid is:
[tex]V_E=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot10\operatorname{cm}\cong66.67cm^3\text{.}[/tex]Answer
Among these figures, figure C and figure D have the same volume.
Supergym is a national chain of gyms. This year, its employees sold 10,412 gym memberships, which turns out to be 52% more than they sold last year. How many memberships did they sell last year?
The supergym sold 15,826.24 membership last year
How to calculate the number of membership sold ?
This year it's employees sold 10,412
This number is 52% more that they sold last year
The first step is to calculate 52% of 10,412
52/100 × 10,412
= 0.52 × 10412
= 5,414.24
The number of membership sold this year can be calculated as follows
= 5414.24 + 10,412
= 15,826.24
Hence the number of membership they sold last year is 15,826.24
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how do I find the correct answer for the blank?
Question 2 (10 points)
Answer:
125.
Step-by-step explanation:
5^3
= 5 * 5 * 5
= 25 * 5
= 125.
Use the parabola tool to graph the quadratic function f (X) =x2 - 12x +27
Answer:
Step-by-step explanation:
[tex]f(x)=x^2-12x^2+27\\f(x)=x^2-2(x)(6)+6^2-6^2+27\\f(x)=x^2-2(x)(6)+6^2-36+27\\f(x)=(x-6)^2-9[/tex]
This is the graph of the function f(x)=x² shifted right about the x-axis
by 6 units and dropped down about the y-axis by 9 units
Multiply. 1. (5.2x)(1.9x)
Answer:
9.88x
Step-by-step explanation:
multiply both numbers together
what is the value of 7 in the number 345.79
Answer: 345.79 - The value of the digit 7 is 7 thousandths, or 0.007.
sorry if this doesn't help..
Whats this answer?? I need it
If I have £450 and I’m going away to India and currency conversion is £1=99.40 how much would I have
Answer:
Step-by-step explanation:
450 * 99.40 = 44730
Use the tangent identity to
find tan x.
sin x =
44
45
tan x =
COS X =
[?]√]
√89
4
Answer:
[tex]tan(x)=\frac{44\sqrt{89}}{89}[/tex]
Step-by-step explanation:
tan is defined as: [tex]tan(x)=\frac{opposite}{adjacent}[/tex]
sin is defined as: [tex]sin(x)=\frac{opposite}{hypotenuse}[/tex]
cos is defined as: [tex]cos(x)=\frac{adjacent}{hypotenuse}[/tex]
We can also define tan as: [tex]tan(x)=\frac{sin(x)}{cos(x)}[/tex]
because plugging in the definitions of sin and cos in we get: [tex]tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}[/tex]
which you'll notice is the original definition of tan(x)
So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)
[tex]sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}[/tex]
plugging in sin(x) and cos(x) we get:
[tex]tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}[/tex]
We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.
We can do this by multiplying the fraction by: [tex]\frac{\sqrt{89}}{\sqrt{89}}[/tex] which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator
[tex]tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}[/tex]
The Distributive Property Determine if the given expressions are equivalent
1. 3x + 12 and 3( 4 + x ) 2. 2( 3x - 30 ) and 6 - 30 3. 4 ( 5 - 4x ) and 20x - 16
The given expressions have been evaluated to be equivalent or not equivalent as follows:
3(4 + x) and 3x + 12: Equivalent.2(3x - 30) and 6 - 30: Not equivalent.4(5 - 4x) and 20x - 16: Not equivalent.What is the distribution property?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a specific number, the same output (result) would be produced as when each addend is multiplied respectively by the number, and the products are added together.
Mathematically, the distributive property of multiplication is given by this expression:
a(b + c) = ab + ac.
Next, we would determine whether or not the given expressions are equivalent:
3x + 12 and 3(4 + x):
Opening the bracket, we have:
3(4 + x) = 3x + 12 (Equivalent).
2(3x - 30) and 6 - 30;
Opening the bracket, we have:
2(3x - 30) = 6x - 60
2(3x - 30) = 6 - 30 (Not equivalent).
4(5 - 4x) and 20x - 16;
Opening the bracket, we have:
4(5 - 4x) = 20 - 16x
4(5 - 4x) = 20x - 16 (Not equivalent).
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