what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)
Answers
Answer:
The slope is 3
Step-by-step explanation:
The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)
The slope of the line given is 3.
What is a slope of a line?Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
Given is a line passing through points (-2, -3) (-4, -9), we need to find its slope,
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-
y₂-y₁ / x₂-x₁
Here, (x₁, y₁) and (x₂, y₂) are (-2, -3) (-4, -9)
So, the slope is = -9+3 / -4+2 = -6 / -2 = 3
Hence, the slope of the line given is 3.
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Related Questions
Which expression below does not give the area of this figure?
Answers
Answer:
ab+ac does not give the area of this figure.
Step-by-step explanation:
In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.
The answer is (a b+ ac) does not give the area of this figure.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here, we have,
In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.
Hence, correct answer is (a b+ ac) does not give the area of this figure.
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Determine the intercepts of the line.
Y+1=3(x - 4)
X-intercept:
y-intercept:
Answers
Answer:
x-intercept: (13/3, 0)
y-intercept: (0, -13)
Step-by-step explanation:
y+1 = 3x-12
y= 3x-13
For y-intercept:
y= 3(0) -13
y=-13
For x-intercept:
0=3x-13
3x=13
x=13/3
The intercepts of the line will be,
x-intercept: (13/3, 0)
y-intercept: (0, -13)
What is an intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
Given that y+1=3(x - 4). The x-intercept and y-intercept will be calculated as,
y+1 = 3x-12
y= 3x-13
For y-intercept:
y= 3(0) -13
y=-13
For x-intercept:
0=3x-13
3x=13
x=13/3
Therefore, the x-intercept is (13/3, 0) and the y-intercept is (0, -13).
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Eighteen men take 15 days
to dig 6 hectares of land
Find the number of men
required to dig 8 hectares
in 12 days?
Answers
Answer:
number of men = 30
Step-by-step explanation:
18 men takes 15 days to dig 6 hectares of land.
18 men will take 12 days to dig ? hectares of land
cross multiply
hectares of land = 12 × 6/15
hectares of land = 72/15
hectares of land = 4.8 hectares
18 men will take 12 days to dig 4.8 hectares of land
? number of men will take 12 days to dig 8 hectares
cross multiply
number of men = 18 × 8/4.8
number of men = 144/4.8
number of men = 30
A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?
Answers
Answer:
4
Step-by-step explanation:
4,12
1,3
4/12=4
12/3=4
The point (1,3) is mapped to the point by a dilation with the origin as the center. The dilation's scale factor is 4.
Explain about the Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.
Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.
The basic formula to find the scale factor of a dilated figure is: Scale factor is equal to the difference between the dimensions of the old and new shapes.
= 4,12
= 1,3
= 4/12 =4
= 12/3 =4
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The question on the bottom
Answers
Answer:
9th grade student=33.3%, unit 7=45%
Step-by-step explanation:
Write f(x) = 2x2 - 44x + 185 in vertex form.
To write f(x) = 2x2 - 44x + 185, factor out
from the first two terms.
Next, form a perfect square trinomial keeping the value of the function equivalent:
f(x) = 2622 - 22x + 121) + 185 - 242
The function written in vertex form is f(x) =
(x - 12+
Answers
Answer:
more information
Step-by-step explanation:
Answer:
2, 2, 11, -57
Step-by-step explanation:
help please . will give brainliest
Answers
Answer:
A
Step-by-step explanation:
the last number is the y intercept so the intercept in the line is -3.5 so I just matched them up.
I need to know this quick
Answers
Answer:
1) 943.895 mm3
2) 144 cm3
Step-by-step explanation:
1)
First we need to find the volume of the rectangular prism:
Volume_1 = 9 * 11 * 6 = 594 mm3
Then, we can find the volume of the half cylinder above the prism:
Volume_2 = 0.5*(pi * (4.5^2) * 11) = 349.895 mm3
So the volume of the figure is the sum of both volumes:
Volume_total = Volume_1 + Volume_2 = 943.895 mm3
2)
The volume of a pyramid is one third of the base area multiplied by the height, so we have:
Volume = (1/3) * 6 * 8 * 9 = 144 cm3
Answer:
1. Volume of the composite figure is 943.89 mm³
2. The volume, of the is 144 cm³
Step-by-step explanation:
1. The composite figure comprises of a cube and a half cylinder;
Volume of a cube = 9 mm × 11 mm × 6 mm = 594 mm³
Volume of the half cylinder = area of base × length = (π·r²)/2 × l
Where:
r = (Diameter of base)/2 = 9/2 = 4.5 mm
l = 11 mm
Therefore, plugging the values, gives;
Volume of the half cylinder = (π × 4.5²)/2 × 11 = 349.89 mm³
Hence, volume of the composite figure = Volume of the cube + Volume of the half cylinder
Volume of the composite figure = 594 mm³ + 349.89 mm³ = 943.89 mm³
2. The volume, V of a pyramid is given by the following relation;
[tex]V = \frac{l \times w \times h}{3}[/tex]
Where:
l = Length of base = 8 cm
w = Width of the base = 6 cm
h = Height of the pyramid = 9 cm
[tex]V = \frac{8 \times 6 \times 9}{3} = 144 \ cm^3[/tex]
Here we have that a cube of side x, therefore, the area = x·x, integrating we have;
[tex]\int\limits^x_0 {x \cdot x} \, dx = \frac{x^3}{3}[/tex]
Where:
Length, height width of the pyramid = x
It can therefore be shown, that for a pyramid of length, l, width, w, and height, h, the volume, [tex]V = \frac{l \times w \times h}{3}[/tex] .
i need help can some please answer this 2 2/3+1 1/2
Answers
Answer:
25/6 or 4 1/6
Step-by-step explanation:
1) convert these fractions to improper fractions first:
8/3+3/2
make like denominators by multiplying 8/3 by 2 and 3/2 by 3
so 8*2/3*2=16/6
3*3/2*3=9/6
16/6+9/6=25/6
Hope this helps!
Answer: 25/6 or 4.16
Step-by-step explanation:
Exercise 19
Find the values of x and y. Then find the measures of the interior angles of the polygon.
Answers
Answer:
x = 25, y = 5
The interior angles:
<ABC = 75°
<BCD = 50°
<CDA = 105°
<DAC = 130
Step-by-step explanation:
The question has no attachment. See attachment for complete question.
Polygon ABCD is a cyclic quadrilateral.
For cyclic quadrilaterals, their opposite angles add up to 180°.
Meaning that;
2x + 26y = 180 ---- equation 1
and
3x + 21y = 180 ------ equation 2
These will be solved simultaneously..
Multiply ½ to both sides of equation 1
½(2x + 26y) = ½ * 180
½ * 2x + ½ * 26y = ½ * 180
x + 13y = 90
Make x the subject of formula
x = 90 - 13y
Multiply both sides of equation 2 by ⅓
⅓(3x + 21y) = ⅓ * 180
⅓ * 3x + ⅓ * 21y = ⅓ * 180
x + 7y = 60
Recall that x = 90 - 13y.
So, x + 7y = 60 becomes
90 - 13y + 7y = 60
90 - 6y = 60
Collect like terms
-6y = 60 - 90
-6y = -30
Divide both sides by -6
-6y/-6 = -30/-6
y = 5
Recall that x = 90 - 13y.
So, x = 90 - 13(5)
x = 90 - 65
x = 25
Having calculated x and y, the interior angles can then be calculated.
The interior angles of the polygon are
1. <ABC
2. <BCD
3. <CDA
4. <DAC
Recall that x = 25 and y = 5
<ABC = 3x
<ABC = 3 * 25
<ABC = 75°
<BCD = 2x
<BCD = 2 * 25
<BCD = 50°
<CDA = 21y
<CDA = 21 * 5
<CDA = 105°
<DAC = 26y
<DAC = 26 * 5
<DAC = 130
Hence,
x = 25, y = 5
The interior angles:
<ABC = 75°
<BCD = 50°
<CDA = 105°
<DAC = 130
A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
help!!!!!!!!!plz.....
Answers
Answer: 1/5, .2, and or 20%
Step-by-step explanation:
The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening
There is a 20% chance of rain on Tuesday and a 30% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answers
Answer:
There is a 40% chance that it will rain Tuesday and Friday.
Step-by-step explanation:
This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%
Answer:
60 percent chance
Step-by-step explanation:
First you multiply the two together. Then move the decimal to get a percent! HOpe this helps
Find the probability:
You roll a fair six-sided die twice. The first roll
shows a five and the second roll shows a six.
Answers
The probability is 1/36.
The outcome of the first roll does not affect the outcome of the second roll, and so the probability of rolling any number on a fair six-sided die remains 1/6 for both rolls. This means that the probability of rolling a 5 the first time and a 6 the second time are both 1/6, and to find the probability of 2 things happening we have to multiply, so we end up with 1/6 × 1/6 = 1/36
I hope this helps! Let me know if you have any questions :)
-189=4x-3(-4x+15) help me i need help badly
Answers
Answer:
Step-by-step explanation:
−189=4x−3(−4x+15)
−189=16x−45
16x−45=−189
16x−45+45=−189+45
16x=−144
16x /16
= −144 /16
x=−9
Good luck honey !!
Answer:
x=-9
Step-by-step explanation:
-3×-4= 12x -3×15=-45
4x+12x-45=-189
4x+12x=16x
16x-45=-189
16x=-144
x=-9
Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal.
Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.
Which system of equations represents this situation?
Answers
Answer:
I'm sorry but I don't see any equations
Step-by-step explanation:
Sharon hits a golf ball off the ground. The function h represents the height of the golf ball, in feet, t seconds after it is hit. h(t) = -16(t − 3)2 + 144 Which of the following statements describes this situation correctly?
Answers
Answer:
The golf ball will be on the ground at 0 and 6 seconds.
Step-by-step explanation:
Just took the test on Plato
Answer:
Hope this helps!
Step-by-step explanation:
135 = 2x + 25
solve for x
Answers
Answer:is 55
Step-by-step explanation:
135-25=2x
110/2=55
Answer:
x = 55
Step-by-step explanation:
First you start with your equation, which is: [tex]135=2x+25[/tex]
Subtract 25 from both sides. Once you do that, you get: [tex]110=2x[/tex]
Then after that, you divide both sides by 2. Then you get your answer, which is: [tex]x=55[/tex]
✌Hope I helped ya✌
please help! I will mark branliest if you help
Answers
Vertical angles are the same, so each one would be identical.
If a = 53 degrees, then angle c would also be 53 degrees.
The answer is C. 53
So, if a is equal to 53 and is vertically opposite to c, then c is also equal to 53
Please help!! A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. What is the probability that exactly two balls are yellow?
Answers
Answer:
7/16 or (if you are looking for a word) likely
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that
apply.
6*(2+8)
A. 6•(8+2)
B. 6•2+6•8
C. (8+2) •6
D. (6•2) + 8
Answers
Answer:
B
Step-by-step explanation:
When you have a number or numbers by parentheses, you take the number outside them and multiply it to each number that is inside the parentheses. In this case you would do 6*2 + 6*8. If I helped, please mark as brainliest! :)
Answer:
A, B, & C are all correct!
Step-by-step explanation:
4
Select the correct answer from each drop-down menu.
A line parallel to the
has no defined slope, and a line parallel to the
has a slope of zero.
X-axis
Reset
Next
y-axis
020 Edmentum. All rights reserved.
Com
Answers
Answer:
Step-by-step explanation:
A line parallel to y-axis has no defined slope and line parallel to x-axis has a slope of zero.
The reciprocal of the tangent is the ___.
A. tangent
B. secant
C. cosecant
D. cotangent
Answers
What is the value of p in the equation below?
3x2 x 2x4 = px6
A. 144.
B. 6
C. 5
D. 3
Answers
Answer:
p = 8
Step-by-step explanation:
3x2 x 2x4 = px6
6 × 8 = 6p
48 = 6p
p = 48/6
p = 8
hope it helps!
How Do I type a fraction on my computer and NOT the / sign
Answers
You can't
Unless you have a special type of key board, you can only represent fractions with /. This is for a reason however, / also means divided by and that's what you're doing when you write a fraction. You divide the numerator by the denominator.
Sorry I can't give the answer you're looking for
There are 19 sweaters in a closet and some sweaters are in the dresser as well.If the total number of sweaters is 60,which of the following equations is correct?A.19 + s=60,B.19× s=60,C.19÷s=60,D.60÷s=19
Answers
Answer:
A
Step-by-step explanation:
how much water do you need if you have 12 cups of flour?
Answers
I think that the correct answer is 8 cups of water.
I hope this helps you!!!
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (-4, 2)
Answers
The answer that I got was 7/7
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is y2-y1 / x2-x1. The point (-4,2) could be labeled as x1 and y1, where x1 is -4 and y1 is 2 and the point (3,9) could be labeled as x2 and y2, where x2 is 3 and y2 is 9. So then the equation would be set up as the following: 9-2 / 3--4. Simplified, the equation equals 1, because when you subtract it comes out as 7/7.
Hope this helps :)
examine the relationships that exist in the diagram below. find the measures of angles a, b, c, and d. remember that you can find the angles in any order, depending on the angle relationships you use.
Answers
Answer:
m∠a = 97°
m∠b = 15°
m∠c = 68°
m∠d = 68°
Step-by-step explanation:
Since WY and RZ are parallel lines and XR is a transverse,
m∠XWY = m∠XRZ
a = 97°
m∠WYX = 180° - 112° = 68°
In ΔXYW,
m∠WXY = 180° - (m∠XWY + m∠WYX)
= 180° - (a + 68°)
= 180 - (97 + 68)
= 180 - 165
= 15°
b = 15°
Since WY and RZ are the parallel lines and XZ is a transverse,
m∠WYX = m∠RZX = 68°
c = 68°
m∠d = m∠c [Alternate interior angles]
d = 68°
What is the axis of symmetry for the function f(x)=7-4x+x2?
X=-3
x = -2
x = 2
x= 3
Answers
Answer:
x = 2
Step-by-step explanation:
C on edg 2020
The axis of symmetry of f(x) = 7-4x + x^2 is x = 2
How to determine the axis of symmetry?We have:
f(x) = 7-4x + x^2
Differentiate the function
f'(x) = -4 + 2x
Set the function to 0
-4 + 2x = 0
Add 4 to both sides
2x = 4
Divide by 2
x = 2
Hence, the axis of symmetry of f(x) = 7-4x + x^2 is x = 2
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Does she have enough? Please explain ur answer :)
Answers
Answer:
Kyla does not have enough money.She needs $36,990.
Step-by-step explanation:
24670*4=98680
98690-54000=44690
Scholarship-2000*4=8,000
44,690-8,000=36990
