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avanturin [10]
2 years ago
6

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over

the same time period. Alexa’s Graph A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6). Mia’s Table A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13. Based on the data on the graph and in the table, which statement gives an accurate comparison? Alexa traveled at a faster rate because the slope of her line is Three-fourths, which is greater than the slope of the line described by the data in Mia’s table. Alexa traveled at a faster rate because the slope of her line is Four-thirds, which is greater than the slope of the line described by the data in Mia’s table. Mia traveled at a faster rate because the slope of the line described by the data in her table is One-half, which is greater than the slope of the line on Alexa’s graph. Mia traveled at a faster rate because the slope of the line described by the data in her table is StartFraction 2 Over 1 EndFraction, which is greater than the slope of the line on Alexa’s graph.
Mathematics
2 answers:
xenn [34]2 years ago
5 0

Answer:

Number 1

Step-by-step explanation:

Because she travels quicker and he line is 3/4

marysya [2.9K]2 years ago
3 0

Answer: Alexa traveled at a faster rate because the slope of her line is Three-fourths, which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation: On Edgenuity!!!!!!!!!

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Triangle A B C is reflected over side A C and then is dilated to form smaller triangle D E C. Angles B C A and D C E are right a
andreyandreev [35.5K]

Answer:

A. △ABC ~ △DEC

B. ∠B ≅ ∠E

D. 3DE = 2AB

Step-by-step explanation:

Transformation involves the reshaping or resizing of a given figure. The types are: reflection, dilation, rotation and translation.

In the given question, the two operations performed on triangle ABC are reflection and dilation to form triangle DEC. The length of each side of triangle DEC is two-third of that of ABC. Therefore, the correct statements about the two triangles are:

i. △ABC ~ △DEC

ii. ∠B ≅ ∠E

iii. 3DE = 2AB

4 0
2 years ago
Write an equation in slope-intercept form of the line perpendicular to y = 3x + 4 that passes through the point (3, 4).
Anika [276]

<u>Answer:</u>

The correct answer option is D. y= -\frac{1}{3} x+5.

<u>Step-by-step explanation:</u>

We are to find the equation of a line which is perpendicular to the following line and passes through the point (3, 4):

y = 3x + 4

We know that an equation perpendicular to another equation has a slope which is the negative reciprocal of the first equation.

So our required slope is -\frac{1}{3}

Finding the y-intercept:

y=mx+c

4=-\frac{1}{3}(3)+c

c=5

Therefore, the equation of the line perpendicular to y = 3x + 4 and passing through the point (3, 4) is y= -\frac{1}{3} x+5.

5 0
2 years ago
Read 2 more answers
What ratio is equivalent to the ratio 18:24
Lana71 [14]

Answer:

3/4

Step-by-step explanation:

18:24=18/24

18/24 reduces to 3/4

3 0
2 years ago
What is the surface area of the rectangular pyramid below?
omeli [17]
Let's find the area of the base.

It's a rectangle that's 3.8 by 4.8, so let's multiply.
3.8×4.8=18.24

We have two different triangles.
Triangle one has a height of 2.6 and base of 4.8. But there are two of them.
2.6×4.8×0.5=6.24×2= 12.48; this is the area of two triangles.

Another set of triangles has a height of 2.9 and a base of 3.8.
2.9×3.8×0.5=5.51×2=11.02

Let's add all the areas together.
18.24+12.48+11.02
41.74

The surface area is 41.74 m², so the third option.
4 0
1 year ago
On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

  • Slope of RP =7
  • Slope of SQ  =-\dfrac17

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0
2 years ago
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