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dem82 [27]
3 years ago
9

what kinds of face shapes are the results from cuts made from parallel and perpendicular to the bases of right rectangular prism

s and pyramids
Mathematics
1 answer:
zubka84 [21]3 years ago
6 0
A cross section is the 2D shape that fallouts from cutting a 3D with a plane.To classify the face shape from cuts made parallel and perpendicular to the bases of right dimensional figures, we need to know first what parallel cuts are. These cuts will form the shape of the base while perpendicular cuts will take the form of the lateral face. Cuts at an angle through the right rectangular prism or pyramid will make a parallelogram.
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HELP PLEASE!!!!!!!!!!!
emmainna [20.7K]

Answer:

Part 1) y=-x^{2}  ---> Translated up by 1 units

Part 2) y=x^{2}+1  ---> Reflected across the x-axis

Part 3) y=-(x+1)^{2}-1  ---> Translated left by 1 unit

Part 4) y=-(x-1)^{2}-1 ----> Translated right by 1 unit

Part 5) y=-x^{2}-1  ----> Reflected across the y-axis

Part 6) y=-x^{2}-2  ----> Translated down by 1 unit

Step-by-step explanation:

we know that

The parent function is

y=-x^{2}-1 ----> this is a vertical parabola open downward with vertex at (0,-1)

<em>Calculate each case</em>

Part 1) Translated up by 1 unit

The rule of the translation is

(x,y) -----> (x,y+1)

so

(0,-1) ----> (0,-1+1)

(0,1) ----> (0,0) ----> the new vertex

The new function is equal to

y=-x^{2}

Part 2) Reflected across the x-axis

The rule of the reflection is

(x,y) -----> (x,-y)

so

(0,-1) ----> (0,1) ----> the new vertex

The new function is equal to

y=x^{2}+1

Part 3) Translated left by 1 unit

The rule of the translation is

(x,y) -----> (x-1,y)

so

(0,-1) ----> (0-1,-1)

(0,1) ----> (-1,-1) ----> the new vertex

The new function is equal to

y=-(x+1)^{2}-1

Part 4) Translated right by 1 unit

The rule of the translation is

(x,y) -----> (x+1,y)

so

(0,-1) ----> (0+1,-1)

(0,1) ----> (1,-1) ----> the new vertex

The new function is equal to

y=-(x-1)^{2}-1

Part 5) Reflected across the y-axis

The rule of the reflection is

(x,y) -----> (-x,y)

so

(0,-1) ----> (0,-1) ----> the new vertex

The new function is equal to

y=-x^{2}-1

Part 6) Translated down by 1 unit

The rule of the translation is

(x,y) -----> (x,y-1)

so

(0,-1) ----> (0,-1-1)

(0,1) ----> (0,-2) ----> the new vertex

The new function is equal to

y=-x^{2}-2

3 0
3 years ago
Please help with mark as brainliest please also show work
Vinvika [58]

Answer:

D. -3x + 18

Step-by-step explanation:

3x - 9y = 18

y = 1/3 x - 2  ... x intercept   0 = 1/3x -2        x=6

perpendicular line slope: - 1/(1/3) = -3 and (6,0) 0n the line

equation: (y-0)/(x-6) = -3

y = -3x +18

7 0
2 years ago
What is the measure of the base in the triangle shown below?<br> A. 11<br> B. 45<br> C. 25<br> D. 30
dangina [55]

Answer:

c. 25

Step-by-step explanation:

BOTH SIDES HAVE X SO YOU PUT THEM IN A 1 EQUATION WAY AND SOLVE X:

4X+1=2X+23

4X-2X=23-1

2X=32

X= 32/2=11

THEN YOU GO TO THE BASE AND CHANGE X AND SOLVE THE EQUATION WITH X=11

3x11-8

33-8= 25=BASE

5 0
3 years ago
Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says
Volgvan

Answer:

$467.77

Step-by-step explanation:

CHECK THE COMPLETE QUESTION

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

From the question, the commission of the salesperson is 5 1/2 % , we can convert to improper fraction as 11/5%, then we can convert to decimal by dividing the numerator by denominator which is 5.5% , we can convert from percentage by saying(5.5%/100)

= 0.055

A)How much commission will the salesperson earn by selling a couch for $495?

His Commission will be

(0.055 x $495 )

= $27.23

B.How much money will the store get from the sale of the couch?

Since we know this Commission as $27.23, then the amount the store get from sale will be

(difference between the commission and the selling price)

($495.00- $27.23)

= $467.77

5 0
2 years ago
A math book comprises of 2 sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed t
Alex_Xolod [135]
480/8=60

(60*5) : (60*3) = 300:180
4 0
3 years ago
Read 2 more answers
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