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-BARSIC- [3]
3 years ago
11

On a coordinate plane, 2 triangles are shown. The first triangle has points A (1, 4), B (3, 4), C (3, 2). The second triangle ha

s points A prime (negative 4, 1), B prime (negative 4, 3), C prime (negative 2, 3). Triangle ABC was rotated about the origin. Which rule describes the rotation?
Mathematics
1 answer:
maw [93]3 years ago
6 0

Answer:

R0, 90°

Step-by-step explanation:

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15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS​
maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0
3 years ago
Read 2 more answers
Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector &lt;−6, 3&gt;.
jarptica [38.1K]

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

4 0
2 years ago
Read 2 more answers
How much longer, to the nearest minute, would it take to travel 290 miles at 60mph versus 70 mph.
velikii [3]
So using the equation distance = velocity * time
we get distance/velocity = time
60 MPH: 290/60 = 4.83333 Hours
60 MPH: 290/70 = 4.1429 Hours

Difference between them:
4.8333 - 4.1429 = 0.69 Hours, then multiply that by 60 and you get
41 Minutes.

Hope this helped!
*psst it would help if you gave me brainliest answer, I'm close to ranking up :) Thanks!
3 0
3 years ago
Read 2 more answers
Please answer problem 1 for me :)
yulyashka [42]

Answer:

2

Step-by-step explanation:

axioms and postulates are statements that are accepted as true without proof

3 0
2 years ago
Factor the following number and give the steps<br> 4a+12b-20
Reil [10]
Here, we can either factor:
1. The numbers
2. The variables
3. Both 1 and 2
In this instance, we factor 1 because the variables are different but the three numbers have a Greatest Common Factor.
4a+12b-20
4(a+3b-5)
8 0
2 years ago
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