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babunello [35]
2 years ago
7

∠ABC and ∠DBC are complementary angles. If m∠ABC=6x+13 and m∠DBC=4x−3 what is the value of x?

Mathematics
1 answer:
STatiana [176]2 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

complementary means add to 90

6x + 13 + 4x - 3 = 90

10x + 10 = 90

10x = 80

x = 8

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Please help!
tensa zangetsu [6.8K]
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
5 0
2 years ago
Fas
Mrrafil [7]

The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

<h3>What is transformation of a function?</h3>

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

  • Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
  • Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

f(x) = x^3

This function is changed to the function,

g(x) = 2f(x -3),

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.

Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

Learn more about the transformation of a function here;

brainly.com/question/10904859

#SPJ1

5 0
2 years ago
In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &
iren [92.7K]

Answer:

Option A is correct.

Step-by-step explanation:

64 < x < 68

This inequality represent that the height x should be greater than 64 and less than 68.i.e.

x>64 and x<68

So, Option A is correct.

8 0
3 years ago
Solve the inequalities and graph the solution 7d+8&gt;29<br><br><br><br><br><br>​
vichka [17]

The answer is d>3

I cant put it graphed but it is open circle on three and the line pointing 4, 5, 6, 7,

8 0
2 years ago
PLZ HELP I GIVE BRAINLIST!!
Tom [10]

Answer:

5

Step-by-step explanation:

X + 2y = 13

Since x = 3

3 + 2y = 13

2y = 13 - 3

2y = 10

Divide both sides by 2

Y = 5

4 0
3 years ago
Read 2 more answers
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