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kupik [55]
2 years ago
7

What is the measure of R? A. 32 B. 40° C. Cannot be determined D. 64°

Mathematics
2 answers:
Genrish500 [490]2 years ago
5 0

Answer:

A. 32  

Step-by-Step Explanation:

∠QRP = 32

if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

∠QRP ∠QPR

Substitute ∠QPR 32° into ∠QRP : ∠QRP 32°

AlladinOne [14]2 years ago
4 0
32 it’s an isosceles triangle
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53 pts!! The function f(x)= 7^x+1 is transformed to function g through a horizontal compression by a factor of 3. What is the eq
e-lub [12.9K]

The value of k will be 3 if the function is transformed by compression factor of 3

Step-by-step explanation:

The horizontal stretch or compression for a function f(x) is given by  g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.

As it is given in the question that he function is transformed by a compression factor of 3.

Given function

f(x) = 7^x+1\\To\ transform\\g = f(bx)\\g = 7^{3x}+1

The value of k will be 3 if the function is transformed by compression factor of 3

Keywords: Functions, Transformation

Learn more about functions at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Find the area of the smaller sector.<br> Round to the nearest tenth.
Tema [17]

Answer:73. 0

Step-by-step explanation:

Radius=8.02

Tita =130

Area of sector = tita/360 x πr^2

130/360 x 22/7 x (8.02) ^2

130/360 x 22/7 x64. 3204

= 72.99

To the nearest tenth = 73.0

6 0
3 years ago
Please answer this really fast.
dolphi86 [110]

Answer:

abc = - 126

Step-by-step explanation:

(2x + 3)(3x - 1) ← expand product using FOIL

= 6x² + 7x - 3 ← in standard form

with a = 6, b = 7, c = - 3

Then

abc = 6 × 7 × (- 3) = - 126

4 0
2 years ago
Read 2 more answers
For the following exercises, determine the point(s), if any, at which each function is discontinuous. Classify any discontinuity
NARA [144]

Answer: (a). at x = 0, its a removable discontinuity

and at x = 1, it is a jump discontinuity

(b). at x = -3, it is removable discontinuity

also at x = -2, it is an infinite discontinuity

(c). at x = 2, it is a jump discontinuity

Step-by-step explanation:

in this question, we would analyze the 3 options to determine which points gave us discontinuous in the category of discontinuity as jump, removable, infinite, etc.

(a). given that f(x) = x/x² -x

this shows a discontinuous function, because we can see that the denominator equals zero i.e.

x² - x = 0

x(x-1) = 0

where x = 0 or x = 1.

since x = 0 and x = 1, f(x) is a discontinuous function.

let us analyze the function once more we have that

f(x) = x/x²-x = x/x(x-1) = 1/x-1

from 1/x-1 we have that x = 1 which shows a Jump discontinuity

also x = 0, this also shows a removable discontinuity.

(b). we have that f(x) = x+3 / x² +5x + 6

we simplify as

f(x) = x + 3 / (x + 3)(x + 2)

where x = -3, and x = -2 shows it is discontinuous.

from f(x) = x + 3 / (x + 3)(x + 2) = 1/x+2

x = -3 is a removable discontinuity

also x = -2 is an infinite  discontinuity

(c). given that f(x) = │x -2│/ x - 2

from basic knowledge in modulus of a function,

│x│= │x       x ˃ 0 and at │-x    x ∠ 0

therefore, │x - 2│= at │x - 2,     x ˃ 0 and at  │-(x - 2)   x ∠ 2

so the function f(x) = at│ 1,     x ˃ 2 and at │-1,    x ∠ 2

∴ at x = 2 , the we have a Jump discontinuity.

NB. the figure uploaded below is a diagrammatic sketch of each of the function in the question.

cheers i hope this helps.

3 0
3 years ago
Read 2 more answers
When changing 67, 430,000 to scientific notation, how many places is the decimal point moved? ​
dmitriy555 [2]

Answer:

6.743*10^7

Step-by-step explanation:

Given data

The number is  67, 430,000

Let us count from the left the right

counting, we have 7 places to the right before the last digit 6

Hence the number of places is 7

The scientific notation is  

=6.743*10^7

3 0
3 years ago
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