Answer:
X, Y, Z are collinear
Step-by-step explanation:
X,Y,Z lie on the same straight line
The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given that line m is passing →
Points X and Y
Line n passing →
Points X, Z
The slope of m = slope of n
If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.
All points that lie on the colinear line are colinear points.
Hence "X, Y, and Z all three points will be colinear".
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A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.
Answer:
it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes
Step-by-step explanation:
9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.
Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step Explanation:
we know that
The volume of a cube is equal to
V = b^3
where b is the length side of the cube
In this problem we have
b = 2m
substitute in the formula of volume
V = 2^3
V = 8 m^3
therefore
The unit of measure appropriate is cubic metre (m³)
2(y−1)+6y = −10
Solve as Y=?
Answer:
0.111 hope that helps you
Sarah has $31,000 in a savings account. The interest rate is 8% per year. How much simple interest will she earn in 5 years?
Answer:
$12,400
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
I = 31000 x .08 x 5
I = 12,400
Sue earns a $97.50 bonus. Her financial advisor has her save 3/10 of it. Sue buys concert tickets that $22.75 each using the rest of her bonus. How many can she buy?
Answer:
She can buy 3
Step-by-step explanation:
PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32
Answer:
The next term is 64, a is 2, and the common ratio is 2.
Step-by-step explanation:
Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.
can somebody please help me with this, also show work so that way i can copy because this is due tmr and i have no clue how to do this at all, thank you so much! (also its 8th grade math)
parallelogram ABCD with vertices A(6,8) B(10,9) C(9,3) and D(5,2): 90 counterclockwise rotation about P(4,1)
A ( , )
B ( , )
C ( , )
D ( , )
Answer:
A(-3 , 3) B(-4 , 7) C(2 , 6) D(3 , 2)
Step-by-step explanation:
Rotation of the parallelogram about the point P(4, 1), is done by taking
point P as the origin, and using relative coordinates for the rotation.
[tex]\underline{A(-3, \, 3)}[/tex][tex]\underline{B(-4, \, 7)}[/tex][tex]\underline{C(2, \, 6)}[/tex][tex]\underline{D(3, \, 2)}[/tex]Reasons:
The given parameters are;
Vertices of the parallelogram ABCD are;
A(6, 8), B(10, 9), C(9, 3) and D(5, 2)
Point about the parallelogram is rotated = P(4, 1)
Angle of rotation = 90°
Direction of rotation = Counterclockwise
90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)
Therefore, we have;
The given points relative to the point P are;
A'(6-4, 8 - 1) = A'(2, 7)
B'(10 - 4, 9 - 1) = B'(6, 8)
C'(9 - 4, 3 - 1) = C'(5, 2)
D'(5 - 4, 2 - 1) = D'(1, 1)
Therefore, we get;
A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)
B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)
C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)
D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)
Which then gives;
The image location are;
A(-7 + 4, 2 + 1) = A(-3, 3)
B''(-8 + 4, 6 + 1) = B(-4, 7)
C''(-2 + 4, 5 + 1) = C(2, 6)
D''(-1 + 4, 1 + 1) = D(3, 2)
Therefore, we have;
A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)
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What is the decimal equivalent of 2
- ?
3
Answer:
.666
Step-by-step explanation:
I need so.e help with this
Answer:
(3,7) is not a solution
Step-by-step explanation:
You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.
-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23
no need to look further, but if you would, the second equation is also false:
3 + 4·7 = -19 is also not true.
The real solution by the way is (-3, -4).
A square metallic frame has a perimeter 208cm .It is bent in the shape of a circle. Find the area of the circle.
Answer:
676 pi
Step-by-step explanation:
208 ÷ 4 =52
(each length =52cm)
diameter = 52 cm
radius = 52÷2 = 26cm
area of circle = pi × radius ^2
pi × 26^2 = 676 pi
Multiply (x + 2y)(x2 − xy + 3y).
Answer:
[tex] {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} [/tex]
A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.
Answer:
[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]
Andy is hanging wallpaper in his kitchen. He is able to cover 2/2 fifths of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?
The number of rolls per wall is????
Answer:
8
Step-by-step explanation:
to be honest tho I don't even know
Fiona planted tomato plants in her back yard earlier this year. So far, they have produced 55 tomatoes. From past experience, she expects the tomato plants to produce an additional 14 tomatoes each week for the rest of the summer. Which of the following recursive formulas can be used to determine the total number of tomatoes produced by her plants after any given number of weeks in the summer, assuming that her expectations are correct?
Answer:
Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.
Step-by-step explanation:
Create a right triangle, in which A is the right angle, and mZC is approximately 60°. What is the approximate measure of _B? m_B = What is the sum of m_A, m_B, and m_C?
Answer:
The answer would be 30 the second one is 180
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Which rule explains why these triangles are congruent?
PLEASE ANSWER FAST IT WILL HELP ME SO MUCH
Answer:
I believe it's enlargement
Step-by-step explanation:
because you have a positive scale factor and it goes to the right 3 and up 4
Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a bowl to rise. Then, Farid forms the dough into a loaf and puts it in a pan to rise for another 1 /2 of an hour. In all, the dough rises for 1 3 /4 hours.
A car travels a distance of 130 miles in a time of 1.8 hours. What is its average speed rounded to 1dp?
Answer:
72.2
Step-by-step explanation:
130/1.8
Which of the following best describes the line passing through (0, 1) with a slope of
-1/2?
Answer:
I would say A,B, or D
Step-by-step explanation:
Please provide the answer for the x and z as seen in the image
What is 42893+2432743
Answer:
42,893 + 2,432,743 = 2,475,636
, Hope this helps :)
Have a great day!!
Answer:
[tex]\sf 42893+2432743[/tex]
[tex]\sf =2475636[/tex]
3/4 x 28= 1/3 of y state y? Please im in a hurry
What is the atomic number of an atom?
Question 3 options:
the number protons and neutrons
the number of protons
the number of electrons and neutrons
the number of neutrons
Answer:
The number of protons
Step-by-step explanation:
Its the correct answer
Factorials: Solve 3!
Answer:
6
Step-by-step explanation:
3! = 3 x 2 x 1 = 6
Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17
Answer: y = 1 and x = 4
Step-by-step explanation:
-8x + 10y = -22
8x - 15y = 17
-----------------------
- 5y = -5 Add the two equations to eliminate x
y = 1 Solve for y
=====
8x - 15y = 17 (y = 1) Use y=1 in either equation
8x - 15 = 17
8x = 32
x = 4 Ta da
Answer:
solution: x = 4, y = 1 or (4, 1)
Step-by-step explanation:
To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):
-8x + 10y = -22
+ 8x - 15y = 17
- 5y = -5
Divide both sides by -5 to solve for y:
[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]
y = 1
Next, substitute the value of y into one of the equations to solve for x:
-8x + 10y = -22
-8x + 10(1) = -22
-8x + 10 = -22
Subtract 10 from both sides
-8x + 10 - 10 = -22 - 10
-8x = -32
Divide both sides by -8 to solve for x:
[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]
x = 4
Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).
7 pls pls pls help meeee!
consider the linear function f(x)=4x-5 Find the values of x for which f(x)=3,f(x)=5,f(x)=-3
Answer:
f(2) = 3
f(5/2) = 5
f(½) = -3
Step-by-step explanation:
Given the linear function f(x) = 4x - 5:
f(x) = 33 = 4x - 5
3 + 5 = 4x - 5 + 5
8 = 4x
8/4 = 4x/4
2 = x
Therefore, when f(x) = 3, x = 2.
f(x) = 55 = 4x - 5
5 + 5 = 4x - 5 + 5
10 = 4x
10/4 = 4x/4
5/2 = x
Therefore, when f(x) = 5, x = 5/2.
f(x) = -3-3 = 4x - 5
-3 + 5 = 4x - 5 + 5
2 = 4x
2/4 = 4x/4
½ = x
Therefore, when f(x) = -3, x = ½.
Use the given figure to complete the statement below. is the bisector of ∠COA.
Answer:
45
Step-by-step explanation: