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GalinKa [24]
3 years ago
13

Describe the Transformations that takes f(x) = x+1 to g(x) = -x+4

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0
The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4
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For f(x) = 2x² + 3x-10 and g(x) = 3(x-2)<br> find fog (3)
slamgirl [31]
(f o g) = 2(3x - 6)^2 + 3(3x - 6) - 10
(f o g) = 2(9x^2 - 36x + 36) + 9x - 18 - 10
(f o g) = 18x^2 - 72x + 72 + 9x - 28
(f o g) = 18x^2 - 63x + 44

(f o g)(3) = 18(3)^2 - 63(3) + 44
= 162 - 189 + 44
= -27 + 44
= 17
4 0
3 years ago
Sketch and prove the following for the two congruent triangles ∆ABC and ∆DEF.
madreJ [45]

Answer:

See explanation

Step-by-step explanation:

<u>Given:</u> ΔABC ≅ ΔDEF

AM, DN - medians

<u>Prove:</u> AM ≅ DN

Proof:

1. Congruent triangles ABC and DEF have congruent corresponding parts:

  • AB ≅ DE;
  • BC ≅ EF;
  • ∠ABC ≅ ∠DEF.

2. BM ≅ MC - definition of the median AM;

3. EN ≅ NF - definition of the median DN;

4. AB ≅ 2BM, EF ≅ 2EN

BM ≅ 1/2 AB,

EN ≅ 1/2 EF,

thus, BM ≅ EN

5. Consider two triangles ABM and DEN. In these triangles \:

  • AB ≅ DE (see 1));
  • BM ≅ EN (see 4));
  • ∠ABM ≅ ∠DEN (see 1).

So, ΔABM ≅ ΔDEN by SAS postulate.

6. Congruent triangles ABM and DEN have congruent corresponding sides BM and DN.

3 0
3 years ago
Calculate the interest amount for a loan of $800 at 4.25% simple interest for 6 years.
Andrei [34K]

Answer:

I= PRT/100

= 800 X 4.25 X 6 /100

= 20400/100

I=204

Interest amount: $204

3 0
3 years ago
Find the measure of anlge A.<br> 7x + 3<br> 7x + 3<br> A<br> PLEASE HELP!!!!!!!
earnstyle [38]

Answer:

3 + 7x = 7x + 3

Step-by-step explanation:

Simplifying

7x + 3 = 7x + 3

7 0
3 years ago
Read 2 more answers
How many times can 24 go into 48
zysi [14]
48 ÷ 24 = 2
24 goes into 48 2 times.
6 0
3 years ago
Read 2 more answers
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