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Lilit [14]
3 years ago
12

A carpenter is making a shelf in the shape of a parallelogram. She begins by drawing parallelogram RSTU on a coordinate plane wi

th vertices R(1,0),S(-4,0), and T (-2,3). What are the coordinate of vertex U?
Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0
The coordinates would be (3, 3).

The slope from R to S is given by

m = (0 - 0)/(-4-1) = 0/-5 = 0

The distance from R to S is 5 units straight across.

This means the slope from T to U will be 0, and it will be a horizontal segment.  This means the y-coordinate of U will be 3, since the y-coordinate of T is 3.

The distance from T to U will be 5 as well; -2+5 = 3 for the x-coordinate.

This makes the point (3, 3).
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A rectangular house measuring 50 feet by 24 feet is to have a gravel pathway of constant width built all around it. There is eno
Maksim231197 [3]
First, we determine the area of the rectangular house by multiplying the length by the width. That is,
             area of the house = (50 ft)(24 ft) = 1200 ft²
Given that all sides of the house should have the pathway, the length of the house plus the pathway should be 50+2x and the new width would be 24+2x. The new area minus the original area of the house should not be more than 345 ft². Thus, the equation would be,
                                   (50+2x)(24+2x) - 1200 ≤ 345 
3 0
2 years ago
I need help with the questions
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Hello

please find attached the graph

you can notice that x^2-6x+9 = (x-3)^2

(a) from the graph we can say that there is no maximum and one minimum in x = 3

and then f(3) = 0 so o is the minimum of f

(b) vertex is (3,0)

(c) x = 3 is an axis of symmetry

(d) as x^2-6x+9 = (x-3)^2 the root is 3

(e) y=9 for x = 0 so the y-intercept is 9

do not hesitate if you need further explanation

if you like my answer, tag it as the brainliest :-)

8 0
3 years ago
Choose the replacement for x and y that makes this equation a true statement: 4x − 5y = −69
lesya [120]

there are various possible answers ( up till infinity)

i'll give you five possible ones:

1) x = -16 and y = 1

2) x = -11 and y = 5

3) x = -1 and y = 13

4) x = 4 and y = 17

5)  x = 104 and y = 97....


8 0
3 years ago
What are two other ways to name RS
kotykmax [81]
<span>A plane is a flat surface that extends infinitely in all directions; thus, a lot of points can be found on a given plane. The plane can be named by taking any three points on it, in no specific order, as long as these points are not on a straight line. An example is plane ABC, given that points A, B and C are found on the plane and are not collinear.</span>
5 0
3 years ago
Anna, Beth and Colleen are softball players. This season, Anne had 65 base hits in 160 at-bats. Beth batting average was 0.399,
zheka24 [161]

Answer:

Anne is the best hitter as she has the best hitting average of 0.406

Step-by-step explanation:

Anne hits 65 bases out of 160 at - bats.

Beth's betting average = 0.399

Collin's hit = 40%

Now, we need to convert all the three hitting rates into same parameters to compare them with each other.

Average hit rate of Anne = \frac{\textrm{Total numberof base}}{\textrm{Total number of  at - bats}}

= \frac{65}{160}  = 0.406

⇒The betting average of Anne = 0.406

Now, The hit - rate of Collin = 40%

Converting the percentage rate into decimal, we get the hit rate of Collin

= \frac{40}{100}  = 0.40

Hence, we get that Hitting Average of :

<u>Anne = 0.406</u>,  Beth = 0.3999 and Collin = 0.400

Hence, from the above data Anne is the best hitter as she has the best hitting average of 0.406.

6 0
3 years ago
Read 2 more answers
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