Answer:
v1
Step-by-step explanation:
Which two lines are parallel?
Which two lines are perpendicular?
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
All the equations given are in slope- intercept form
y = 2x + 1 → with m = 2
y = [tex]\frac{1}{2}[/tex] x - 4 → with m = [tex]\frac{1}{2}[/tex]
y = x + 1 → with m = 1
y = - [tex]\frac{1}{x}[/tex] x - 3 → with m = - [tex]\frac{1}{2}[/tex]
y = 10 + x → y = x + 10 → with m = 1
Thus
y = x + 1 and y = 10 + x are Parallel since both have m = 1
y = 2x + 1 and y = - [tex]\frac{1}{2}[/tex] x - 3 are Perpendicular since 2 × - [tex]\frac{1}{2}[/tex] = - 1
Find the sale price of a $90 item after a 30% discount.
The sale price is $
Answer:
$63
Step-by-step explanation:
100%-30% = 70% of original price.
Thus .7 *90 = $63
Does the quadratic function y=-2x+3x^2+5 open upward or downward? Explain
Answer:
It would open upward.
Step-by-step explanation:
If you see on the equation, there is a positive (+) sign on the [tex]3x^2[/tex]. If you see the positive sign on anything that is squared, and it is asking for a quadratic function, then it will always open upward. If you see a negative sign on anything that is squared, and is asking for a quadratic function, then it will open downward.
Answer:
Upwards
Step-by-step explanation:
The reason is this quadratic function has a positive coefficient which is 3. The reason 3 is the coefficient is that 3 is the one with the X with a square in it. if 3 would have been negative, well the answer would be the opposite.
Hope That Helped
What is the area of this figure
Given:
Image of the figure.
To find:
The area of the figure.
Solution:
Length of larger rectangle = 9
Width of larger rectangle = 8
Area of larger rectangle = length × width
= 9 × 8
Area of larger rectangle = 72 square units
Length of smaller rectangle = 4
Width of smaller rectangle = 2
Area of smaller rectangle = length × width
= 4 × 2
Area of smaller rectangle= 8 square units
Area of the figure = Area of larger rectangle - Area of smaller rectangle
= 72 - 8
= 64 square units
The area of the figure is 64 square units.
Elena said, “I think this line is a good fit because half of the points are on one side of the line and half of the points are on the other side.” Do you agree?
Final answer:
While Elena's method of dividing the points equally on either side of a line might be a rough starting point for finding a 'line of best fit,' accurate data analysis requires more sophisticated methods, like least squares regression, to determine how well a line truly fits a set of data points.
Explanation:
Elena's consideration that a line is a good fit because half of the points are on one side and half are on the other may indicate an attempt at balancing data around a potential 'line of best fit' when visually estimating in scatter plots. However, a good fit in the context of data analysis typically relates to how closely the line follows the trend of the points, which is better determined by methods such as least squares regression, rather than just the number of points on either side of the line.
Statistical measurements, such as the correlation coefficient, are used to quantify how well a line fits the data in question. Therefore, while Elena's observation might be useful as an initial, rough estimation, more rigorous statistical methods would provide a more accurate assessment of a good fit for the data.
Scientists are making an aerial study of a volcano. Their helicopter is circling at
an 8 km radius around the volcano's crater, and one of the scientists notices a
new vent that is 45° east of due north from the crater. What is the position of the
new vent relative to the crater?
Answer:
(x + 5.66, y + 5.66) where (x, y) is the location of the crater
Step-by-step explanation:
Locating volcano's crater at (0, 0), the new vent is at angle equal to 45° respect x-axis, and at distance of 8 km from the crater. In polar coordinates that is radius (r) = 8, angle (α) = 45°. We are asked to transform these polar coordinates into rectangular coordinates. To do it, we have to use the following formulas:
x = r*cos α = x = 8*cos 45 = 5.66
y = r*sin α = 8*sin 45 = 5.66
If the crater is at position (x, y) then the vent would be translated at position (x + 5.66, y + 5.66)
Final answer:
The new vent's position relative to the crater, with the helicopter circling at an 8 km radius, is described by polar coordinates as (8 km, 45°) east of due north. This grants a clear visualization of the vent's specific location in relation to the volcano's crater, emphasizing its displacement and direction.
Explanation:
The position of the new vent relative to the crater, given that the helicopter is circling at an 8 km radius around the volcano's crater and that the new vent is located 45° east of due north from the crater, can be described using polar coordinates (r, θ) where r is the radius and θ is the angle from a reference direction. In this case, the reference direction is due north, and the angle is measured towards the east, meaning that the position of the new vent can be represented as (8 km, 45°). This means the vent is 8 km away from the crater at an angle of 45° east of due north. To visualize this, imagine the crater at the center of a circle, with the helicopter moving along the boundary of this circle. The new vent is located on the circumference of this circle, such that if you draw a line from the center (crater) to the vent, this line makes a 45° angle with the northward direction.
Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram. The area of the path is 120 square feet. About how many pavers will she need to cover the path?
40
60
120
160
Answer:
120
Step-by-step explanation:
I am taking the test rn
If area of the path is 120 square feet then 120 pavers will she need to cover the path
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram.
The area of the path is 120 square feet.
A parallelogram has a base of 2 feet and height of 0.5 feet.
Area of parallelogram 2×0.5
which is 1 square feet
Now let us find the number of pavers she need to cover the path
120×1
120
Hence, if area of the path is 120 square feet then 120 pavers will she need to cover the path
To learn more on Areas click:
https://brainly.com/question/20693059
#SPJ3
-2+x≤3
Please help me. I don't do well on this.
Answer:
x≤5
Step-by-step explanation:
-2+x≤3
Add 2 to each side
-2+2+x≤3+2
x≤5
What is the value of x, the height of the prism?
volume = 1/2 x a x b x X
1152= 1/2 x 12x 12 x X
12*12 = 144
1152 = 1/2 x 144 x X
1152/ 1/2 = 2304
2304 =144 x X
X=2304/144 = 16
check 1/2*12*12*16 = 1152
x=16cm
please help fast please really fast 10 points
Answer:
A
Step-by-step explanation:
L.C.M. fo 3,2,3=6
multiply by 6
4x-3=2+5x
4x-5x=2+3
-x=5
x=-5
Answer:
x=-5
Step-by-step explanation:
Choose the best description for the real number 4 point 6 repeating
Answer:
irrationanal
Step-by-step explanation:
What positive integer is closest to the value of √230 ?
Answer:
15
Step-by-step explanation:
sqrt230=15.165...
Answer:
I believe that it is 15
Katie wants to measure the length from the pitcher mound to home plate on the softball field. Should she use inches or feet to to measure it?
Answer: Feet
Step-by-step explanation:
Well, Katie can use whatever unit of measure she prefers. However, in this case she must take into account the measuring instrument that she is going to use and the unit of measurement that is generally used or according to the established rules.
On the other hand, a softball field has an average area of [tex]225 ft^{2}[/tex], which is quite a lot. Therefore Katie needs to use a convenient unit of measure (let's assume she uses a measuring tape, which gives her the option to measure in feet or inches) to quickly measure the distance between the pitcher mound and home plate.
So, if we have to choose between feet and inches, we must consider the following:
[tex]1 ft=12 in[/tex]
This means [tex]ft[/tex] as a unit of distance is greater than [tex]in[/tex]. Hence, Katie should use feet instead of inches.
In addition, according to the Softball rules, generally the dimensions are given in feet. So, it is better for Katie to use feet to measure the distance from Pitchers Mound to Home Plate.
What is the MAD for tamika: (10, 9, 5, 20, 12, 4) points in tmr basketball game
Answer:
4
Step-by-step explanation:
(HURRY PLEASE) What is the rate of change of the function represented by the table?
Answer:2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
y values are getting less negative so ROC has to be positive. numbers are not going up by 1. They are going up by 2.5
Which statements are true? Check all that apply
mCB = 120°
MCB = 60°
mZCOB = 2(m_CAB)
m_COB = 120
mzCOB = 1 (m_CAB)
600
Answer:
A,C,D
Step-by-step explanation:
Snap
Jona_Fl16
The correct statements are mCB = 120°, m∠COB = 2(m∠CAB), m∠COB = 120°
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.
From the diagram:
mCB = 2 * m∠CAB (angle at center is twice angle at circumference)
mBC = m∠COB = 2(60) = 120°
The correct statements are mCB = 120°, m∠COB = 2(m∠CAB), m∠COB = 120°
Find out more on circle at: https://brainly.com/question/24375372
A circle has a center at (4,-1) and a radius of 6. Which of the following that are
points on the circle.
a(-2,-1)
b(4,-9)
c(0, -5)
d(8,-5)
Answer:
c
Step-by-step explanation:
The parking space shown at the right has an area of 150 ft. A custom truck has
rectangular dimensions of 11.7 ft by 6.1 ft. Can the truck fit into the space? Justify you
answer.
Answer: The truck can fit into the parking space since the area of the parking space is greater than the area occupied by the truck.
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate the rectangular area occupied by the truck, by multiplying its dimensions:
Area = length x width
11.7 ft x 6.1 ft = 71.37 ft2
Now, we have to compare it with the available parking space:
150 > 71.3
The truck can fit into the parking space since the area of the parking space is greater than the area occupied by the truck.
If mAngle3 = 29°, what is mAngle4?
mAngle4 =
°
Answer:
M angle=151
Step-by-step explanation:
180-29=151
Answer:
Angle M 4 = 151 degrees
Step-by-step explanation:
i just did the practice on edge :) its funny how since we're all in quarantine doing edge everyone is helping each other out on sites and apps like this yanno.. it makes me kinda happy that we can all come together like we are ahaha
Describe a Positive Correlation on a Scatter Plot.
Answer:
A positive correlation on a scatter plot would show the points closer tog.ether heading in an upward direction
Step-by-step explanation:
The probability of drawing a silver ball out of a certain bag is
1 third. What is the probability of not drawing a silver ball?
The probability of not drawing a silver ball, when the probability of drawing a silver ball is 1/3, is 2/3.
Explanation:The probability of not drawing a silver ball can be found by subtracting the probability of drawing a silver ball from 1, since the sum of the probabilities of all possible outcomes must equal 1. If the probability of drawing a silver ball is 1/3, then the probability of not drawing a silver ball is 1 - 1/3 = 2/3.
is 62784 divisible by 4
Answer:
yes it is the answer is 15696
Ann has some dimes and quarters. If she has 13 coins worth a total of $2.50, how many of each type of
coin does she have?
Answer:
2 quarters and 5 dimes
Step-by-step explanation:
2 quarters equal to $2
5 dimes = 50 cents
add them and get $2.50
Plot -3/2 and 1/4 on the number line
link attached with answer
hope this helps :)
Answer:
Answer is below
Step-by-step explanation:
<-----|---------------|-----------|------->
-3/2 0 1/4
solve 5=625e^{0.02x}
Answer:
x=-150ln(5)
this should be the answer
What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has base of 12 and height of 10. A rectangle has base of 10 and height of 13. A rectangle has base of 10 and height of 5. 2 triangles have a base of 12 inches and height of 5 inches. 300 square inches 360 square inches 390 square inches 460 square inches
Correct option B) 360 square inches .
Step-by-step explanation:
Here we have , A prism is made up of 3 rectangles and 2 triangles. A rectangle has base of 12 and height of 10. A rectangle has base of 10 and height of 13. A rectangle has base of 10 and height of 5. 2 triangles have a base of 12 inches and height of 5 inches. We need to find What is the surface area of the prism in square inches . Let's find out:
3 rectangles and 2 triangles
A rectangle has base of 12 and height of 10 :
⇒ [tex]Area = length(width)[/tex]
⇒ [tex]Area =12(10)[/tex]
⇒ [tex]Area =120[/tex]
A rectangle has base of 10 and height of 13
⇒ [tex]Area = length(width)[/tex]
⇒ [tex]Area =13(10)[/tex]
⇒ [tex]Area =130[/tex]
A rectangle has base of 10 and height of 5
⇒ [tex]Area = length(width)[/tex]
⇒ [tex]Area =5(10)[/tex]
⇒ [tex]Area =50[/tex]
2 triangles have a base of 12 inches and height of 5 inches.
⇒ [tex]Area = \frac{1}{2}base(height)(2)[/tex]
⇒ [tex]Area =12(5)[/tex]
⇒ [tex]Area =60[/tex]
Hence , Total Area :
⇒ [tex]120+130+50+60[/tex]
⇒ [tex]360in^2[/tex]
Correct option B) 360 square inches .
Trina uses One-half cup of sugar and Three-fourths cup of flour in a recipe. How many cups of sugar would she need if she uses 3 cups of flour?
Answer:
2 cups
Step-by-step explanation:
Answer: 4 1/2 cups of sugar
Step-by-step explanation: Math
In this line of circles
OOOO
the ratio of red circles to blue circles is 1:3
How many more red circles would
need to be added to make the ratio of red to blue 3: 1?
Answer:
3 red circles
Step-by-step explanation:
You require three red circles and blue circles reduced by two.
Please answer this!
Tony opens a savings account. The graph represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
We have been given that a graph that represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
We are asked to find the rate of change and initial value from our given graph.
We know that initial value is the point, where, graph intersects y-axis that is when x is equal to 0.
We can see that graph starts at 5000 on y-axis, therefore, initial value is $5000.
The rate of change will be equal to slope of line. Let us find slope of line using points (0,5000) and (1,7500).
[tex]m=\frac{7500-5000}{1-0}[/tex]
[tex]m=\frac{2500}{1}[/tex]
[tex]m=2500[/tex]
Therefore, the rate of change is $2500 per year.
The equation [tex]y=2500x+5000[/tex] represents the amount of money in dollars that Tony expects to deposit in his account.
The equation [tex]\rm y = 2500x+5000[/tex] represents the amount of money in dollars that Tony expects to deposit in his account.
The rate of change is $2500 per year.
Given that,
Tony opens a savings account.
The graph represents the amount of money in dollars.
Tony expects to deposit in his account in terms of the number of years since opening the account.
We have to determine,
The equation represents the amount of money in dollars that Tony expects to deposit in his account and rate of change per year.
According to the question,
The graph that represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
The rate of change and initial value from our given graph.
The initial value is the point, where, graph intersects y-axis that is when x is equal to 0.
The equation represents the amount of money in dollars that Tony expects to deposit in his account is,
[tex]\rm y = 2500x+5000[/tex]
The graph starts at 5000 on y-axis, therefore, initial value is $5000.
The rate of change will be equal to slope of line.
Let us find slope of line using points (0,5000) and (1,7500).
Therefore,
The slope of line is,
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{7500-2500}{1-0}\\\\m = 2500[/tex]
Hence, the rate of change is $2500 per year.
For more details refer to the link given below.
https://brainly.com/question/17521208
A right triangle has a hypotenuse of square root of 50. What are possible lengths of the two legs of this triangle?
For 45-45-90 degree triangle
The length of other two legs: 5
For 30-60-90 degree triangle
The shorter leg= 3.53
The larger leg = 6.11
Step-by-step explanation:
length of Hypotenuse = [tex]\sqrt{50}[/tex]
We need to find possible lengths of the two legs of this triangle.
If the triangle is 45-45-90 degree triangle the length of other two sides would be same and can be found by:
[tex]Length\,\,of\,\,leg:\frac{\sqrt{50} }{\sqrt{2} } \\Length\,\,of\,\,leg:5[/tex]
Since both legs are of same size so, length of other leg = 5
If the triangle is 30-60-90 degree triangle then:
To find shorter length: Divide hypotenuse by 2.
To find other side length: Multiply shorter length by [tex]\sqrt{3}[/tex]
The shorter leg = [tex]\frac{\sqrt{50} }{2}= 3.53[/tex]
The other leg (larger) = [tex]3.53\times \sqrt{3} =6.11[/tex]