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3 years ago

The figure shows ΔDEF and ΔD'E'F'. Fill in each entry box with the answer.

Mathematics

1 answer:

V125BC [204]3 years ago

3 0

9514 1404 393

Answer:

(a, b) = (-2, 0)
no

Step-by-step explanation:

Reflecting D over y=1 moves it to D'(-2, 4). An additional translation of (-2, 0) is required to move it to D'(-4, 4).

The translation only affects the x-coordinate, so can occur either before or after the reflection, which only affects the y-coordinate.

The order of transformations does not matter.

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In the data set below, what is the range? 9, 4, 9, 2, 8, 2, 1

noname [10]

First put these in order from least to greatest.

1,2,2,4,8,9,9 is the correct order
Range is when we subtract the greatest value of our data set from the smallest so in our case it would be 9-1 which leaves us with our answer that 8 is your range.

7 0

3 years ago

The triangle area is 90ft^2 and the height is 10 what's the base

Sidana [21]

Area of triangle = 1/2 x base x height
Let the base be "b"

90 = 1/2 x 10 x b
90 = 5b
b = 18 ft

Base = 18 ft

4 0

3 years ago

Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of c

lutik1710 [3]

Answer:

233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

40f +25c ≤ 21000

The other expresses the limit on volume.

20f + 5c ≤ 7000

_____

Feasible Region vertex

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

5(20f +5c) -(40f +25c) = 5(7000) -21000

60f = 14000

f = 233 1/3

The second boundary line equation can be rearranged to find c:

c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

(f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

Check of Integer Solution

Trying these in the constraint inequalities gives ...

40·233 +25·467 = 20,995 < 21000
20·233 +5·467 = 6995 < 7000

Selection of the Answer

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

p = 13f + 6c

The values of p at the vertices are ...

p = 13·233 + 6·467 = 5831

p = 13·0 + 6·840 = 5040

p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0

3 years ago

Let f(x) = x2- 3x - 7. Find f(-3)

Alexxx [7]

F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11

6 0

3 years ago

Plz help only have 11 mins

marin [14]

Answer:

Step-by-step explanation:

18 7/8 - 14 7/9

18 63/72 - 14 56/72

= 4 7/72

answer is B

5 0

3 years ago