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kodGreya [7K]
3 years ago
5

Please help — Which ratio represents cos(c)?

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0
48/50

option A is correct
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What is the rate of change ?
postnew [5]
The rate of change is also called the slope
 the formula foe the rate of change is (y2-y1) / (x2-x1)

x1 = -3
x2 = 6
y1 = 14
y2 = -1
 rate of change = (-1 - 14) / (6- (-3)
= -15 / 9
= -5/3


3 0
3 years ago
Solve.<br> y=x - 7<br> 5+2y=7
lesantik [10]

Answer:

\huge\boxed{x=8;\ y=1\to(8;\ 1)}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}

\text{Substitute it to (1):}\\\\y=8-7\\\\\boxed{y=1}

8 0
3 years ago
Read 2 more answers
What is the weight of the plane with 81 gallons of fuel in its tanks?
JulijaS [17]
The weight of a plane with 81 gallons of fuel in the tank is about 44 tons
3 0
3 years ago
(x+12) (3x+2)<br> Find the value of X
KatRina [158]

Step-by-step explanation:

Equation at the end of step 1

(3x2 - 38x) + 24 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  3x2-38x+24 

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -38x  its coefficient is  -38 .

The last term, "the constant", is  +24 

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72 

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -38 .

     -72   +   -1   =   -73     -36   +   -2   =   -38   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -36  and  -2 

                     3x2 - 36x - 2x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                    3x • (x-12)

              Add up the last 2 terms, pulling out common factors :

                    2 • (x-12)

Step-5 : Add up the four terms of step 4 :

                    (3x-2)  •  (x-12)

             Which is the desired factorization

Equation at the end of step2:

(x - 12) • (3x - 2) = 0

STEP3:Theory - Roots of a product

 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

 3.2      Solve  :    x-12 = 0 

 Add  12  to both sides of the equation : 

                      x = 12

Solving a Single Variable Equation:

3 0
3 years ago
Read 2 more answers
16=2x+3x+1<br><br><br> Solve for X
stiks02 [169]
The answer is 3

5x = 16-1
5x = 15
x = 3
7 0
3 years ago
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