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Ray Of Light [21]
3 years ago
12

Point U is located at (1,-4) on the coordinate plane. Point U is reflected on

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Given :

A point U located at (1,-4) on the coordinate plane.

To Find :

The reflection of point U on x-axis.

Solution :

Reflection of any point ( h , k ) on x-axis is ( h , - k ) .

So , the reflection of point U i.e ( 1 , -4 ) is ( 1 , 4 ) .

Therefore , the ordered pair describes the location of U' is ( 1 , 4 ).

Hence , this is the required solution .

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The area of trapezoid TRAP is 100. Furthermore, TR = 32, AP = 8, and TP = RA. If AngleT = AngleR, what is the length of segment
Elenna [48]

Answer:

TP: 13

Step-by-step explanation:

A=((b1+b2)/2)*h

100=((8+32)/2)*h

100=(40/2)*h

100=20h

h=5

A=8*5+((32-8)/2)*0.5*5*2

100=40+(24/2)*5

60=12*5

thus, point E is is 12 away from T

Triangle TPE:

the catets are TE:12 and PE:5

Lets use the Pythagorean theorem:

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

169=c^2

c=(+/-)13

since distance can only be positive, the answer is:

segment TP has the length of 13 units

7 0
3 years ago
DUE: 10-31-2019
Mamont248 [21]

Answer:

Here's what I get  

Step-by-step explanation:

I plotted the triangles in the diagram below.

Part A

The scale factor for dilation is ½, because every coordinate has been halved.

  P (8, 0) ⟶ P' (4, 0)

  Q (6, 2) ⟶ Q' (3, 1)

R (-2, -4) ⟶ R' (-1, -2)

Part B

When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

  P' (4,0) ⟶ P" (-4,0)

Q' (3,-1) ⟶ Q" (-3,-1)

R' (-1,-2) ⟶ R" (1,-2)

∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).

Part C

∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.

5 0
3 years ago
Brandon makes 4/5 of his free throw shots when he play. If he takes 45 shots how many is he expected to make
LUCKY_DIMON [66]
4/5 = 80%

80% of 45 is

.8 x 45 = 36

He is expected to make 36 of his shots
5 0
3 years ago
In the year 1999, the surface elevation of Lake Powell was 3893 feet above sea level. In the year 2005, the surface elevation of
Sati [7]

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

<u>Year</u>    <u>Feet</u>

1999     3893

2005    3425.6  

<u>Change</u>

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.

8 0
2 years ago
A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought
svlad2 [7]
75 adults, 25 children

4 0
4 years ago
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