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inn [45]
3 years ago
7

HELP PLEASE! PRE-ALGEBRA!

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

Step 1: Dilation by a scale factor of 1/2.

A point (x, y) is sent to (1/2 x, 1/2 y).

A(2, 2) ---> (1, 1)

B(2, 10) ---> (1, 5)

C(8, 12) ---> (4, 6)

Step 2: Rotate about the origin 180 degrees

A point (x, y) is sent to (-x, -y).

(1, 6) --->  A'(-1, -1)

(1, 5) --->  B'(-1, -5)

(4, 6) ---> C'(-4, -6)

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Consider the work shown for 99÷7. What does the highlighted 1 represent?
kirill [66]

Answer:

The amount left after each group gets 14

Step-by-step explanation:

R1 means there is 1 left after dividing everything

5 0
3 years ago
Read 2 more answers
Function or not a function?
Mazyrski [523]
<h3><u>Explanation</u></h3>
  • How to see if a shown graph is function or not?

If we want to check that a graph is function or not, we have a way to check by doing these steps.

  1. Draw a vertical line, make sure that a line has to pass through or intercept a graph.
  2. See if a line intercepts a graph more than once.

If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.

From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.

<h3><u>Answer</u></h3>

The graph is a function.

3 0
3 years ago
An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends
Kruka [31]

Answer:

V=4x^3-60x^2+216x

Step-by-step explanation:

<u>Volume And Function s</u>

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

V=abc

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

V=x(12-2x)(18-2x)

Operating and simplifying

V=4x^3-60x^2+216x

8 0
3 years ago
Help me please. I dont understand this question.
ziro4ka [17]

Answer:

y = 100°

Step-by-step explanation:

I can't see the full question, but I'm guessing you need to find the measure of angle y.

The total angle sum of a polygon can be calculated with the formula

T = 180°(n - 2)   where T is the total angle measure, and n i the number of sides.

For our shape, there are 4 sides, so n = 4.  Plug that in and simplify...

T = 180°(4 - 2)

  T = 180°(2)

      T = 360°

We are given 3 of the angles, so angle y is

y = 360 - 107 - 104 - 49

    y = 100°

5 0
3 years ago
One terameter equals 1012 meters. One micrometer equals 10 meter.
Butoxors [25]

Answer:

<h2>a)  10⁶metres</h2><h2>b) 10¹⁸metres</h2>

Step-by-step explanation:

Given One terameter equals 10¹² meters. One micrometer equals 10⁻⁶ meter, one nanometer equals 10⁻⁹meter;

a) The product of one terameter and one micrometer will be expressed as;

10¹²  * 10⁻⁶

Since the both have the same base, we will add their power according to one of the law in indices as shown

10¹²  * 10⁻⁶ = 10⁻⁶⁺¹²

= 10⁶metres

b) The quotient of one terameter and one micrometer can be gotten by taking their ratio as shown below;

Note that when taking the quotient, the power are subtracted

= \frac{10^{12} }{10^{-6} } \\= 10^{12-(-6)}  \\= 10^{12+6} \\= 10^{18}metres

3 0
3 years ago
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