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BARSIC [14]
3 years ago
11

If the angle tis 42 and RS is 9 find QS. Round to the nearest tenth. Q R

Mathematics
1 answer:
Crank3 years ago
4 0

Answer:

QS is 12.1

Step-by-step explanation:

9 / sin 48 = QS / sin 90

QS = 9 / sin 48 = 12.1

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Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
Elden [556K]

Answer:

-6

Step-by-step explanation:

The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).

So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is

(f(-2)-f(-9))/(-2--9)

(f(-2)-f(-9))/(7)

Stop!

To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.

To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.

Continue!

(f(-2)-f(-9))/(7)

=(-5-37)/7

=(-42)/7

=-42/7

=-6

6 0
3 years ago
Write the equation of the function whose graph is shown. y = (x + )2 +
Deffense [45]
Quadratic form is given in the form
y= ax^{2}+bx+c, where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

12= a(8)^{2}+b(8)+c
12=64a+8b+c ... Equation 1

3=a(5)^{2}+b(5)+c
3=25a+5b+c ... Equation 2

Equation 1 - Equation 2 gives
39a+3b=9, we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of x is given by x=- \frac{b}{2a}
Substitute x=5
5=- \frac{b}{2a}
10a=-b
b=-10a ... Equation 4

Substitute Equation 4 into Equation 3
39a+3b=9
39a+3(-10a)=9
39a-30a=9
9a=9
a=1

Now we need to work out the value of b and c

Substitute a=1 back into equation 4
-10a=b
-10(1)=b
b=-10

Substitute a=1 and b=-10 into either equation 1 or equation 2

64a+8b+c=12
64(1)+8(-10)+c=12
64-80+c=12
c=12+80-64
c=28

Hence the equation of the quadratic curve is
y= x^{2} 10x+28


8 0
3 years ago
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What is the name of this polygon? rectangle square trapezoid rhombus A quadrilateral. Each side has one tick mark.
julsineya [31]
I think it’s a rhombus.
6 0
3 years ago
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If a system of linear equations has no solution, then
Natali5045456 [20]

Answer:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

Step-by-step explanation:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

5 0
3 years ago
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What is 60,978 in expanded form
lana66690 [7]

Expanded Notation Form: 60,978= 60,000 +0 +900 +70 +8 

Expanded Factors Form:  60,978= 6 × 10,000 +0 × 1,000 +9 × 100 +7 × 10 +8 × 1 

Expanded Exponential Form: 60,978 = 6 × 104+0 × 103+9 × 102+7 × 101+8 × 100

Word Form:60,978 =sixty thousand nine hundred seventy-eight

7 0
3 years ago
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