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marta [7]
2 years ago
10

Clara simplifies {8b-4r}- {2b-r} and says the result is 6b-5r. What error did Clara make?

Mathematics
2 answers:
Nady [450]2 years ago
8 0
She regrouped the numbers instead of multiplying like 8b(2b-r) -4r(2b-r).

GREYUIT [131]2 years ago
3 0

She did not distribute the negative. Poor Clara.

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I don’t understand how to proof Cpctc or answer the questions
n200080 [17]
I think that first you need to understand what CPCTC is used for.

Let's start with the definition of congruent triangles.

Definition of congruent triangles
Two triangles are congruent if each side of one triangle is congruent to a corresponding side of the other triangle and each angle of one triangle is congruent to a corresponding angle of the other triangle.

A definition works two ways.
1) If you are told the sides and angles of one triangle are congruent to the corresponding sides and angle of a second triangle, then you can conclude the triangles are congruent.
2) If you are told the triangles are congruent, then you can conclude 6 statements of congruence, 3 for sides and 3 for angles.

Now let's see what CPCTC is and how it works.
CPCTC stands for "corresponding parts of congruent triangles are congruent."
The way it works is this. You can prove triangles congruent by knowing fewer that 6 statements of congruence. You can use ASA, SAS, AAS, SSS, etc. Once you prove two triangles congruent, then by the definition of congruent triangles, there are 6 congruent statements. That is where CPCTC comes in. Once you prove the triangles congruent, then you can conclude two corresponding sides or two corresponding angles are congruent by CPCTC. These two corresponding parts were not involved in proving the triangles congruent.

Problem 1.

Statements                                        Reasons
1. Seg. AD perp. seg. BC               1. Given
2. <ADB & <ADC are right angles     2. Def. of perp. lines
3. <ADB is congr. <ADC                 3. All right angles are congruent
4. Seg. BD is congr. seg CD           4. Given
5. Seg. AD is congr. seg. AD        5. Congruence of segments is reflexive
6. Tr. ABD is congr. tr. ACD           6. SAS
7. Seg. AB is congr. seg. AC        7. CPCTC

4 0
3 years ago
Help me with this! I'll give Brainliest!!!!!!!!!!!!!!!
kirill115 [55]
Liana is correct bc henry included negative numbers
6 0
2 years ago
Read 2 more answers
At a dog park , there are 10 black dogs, 5 brown dog, 2 white dog, and 12 multi color dogs​
Sophie [7]
What question are you trying to ask?
5 0
3 years ago
Read 2 more answers
Compare and contrast the rate 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile
Gwar [14]

The values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal

<h3>How to compare and contrast the rates?</h3>

The rates are given as:

Rate 1 = 4/5 mile in 8 minutes

Rate 2 = 2/5 mile in 4 minutes

Calculate the above rates

This is done as follows:

Rate 1 = 1/10 mile per minute

Rate 2 =1/10 mile per minute

When the rates are calculated, the values are 1/10 mile per minute

Hence, the values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal

Read more about rate at:

brainly.com/question/2021001

#SPJ1

5 0
1 year ago
The vertex of the parabola below is at the point (3,2) and the point (4,6) is on the parabola. What is the equation of the parab
nata0808 [166]

Answer:

\large\boxed{y=4(x-3)^2+2\ \bold{vertex\ form}}\\\boxed{y=4x^2-24x+38\ \bold{standard\ form}}

Step-by-step explanation:

The vertex form of a parabola:

y=a(x-h)^2+k

(h, k) - vertex

We have the vertex at (3, 2) → h = 3 and k = 2.

Substitute:

y=a(x-3)^2+2

The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:

6=a(4-3)^2+2       <em>subtract 2 from both sides</em>

6-2=a(1)^2+2-2

4=a\to a=4

Finally:

y=4(x-3)^2+2          <em>vertex form</em>

<em>use (a - b)² = a² - 2ab + b²</em>

y=4(x^2-6x+9)+2          <em>use the distributive property</em>

y=4x^2-24x+36+2

y=4x^2-24x+38             <em>standard form</em>

6 0
3 years ago
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