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2 years ago

WILL GIVE BRAINLST HAVE AN AMAZING DAY :)

Mathematics

2 answers:

Leokris [45]2 years ago

8 0

Answer:

9. $\:\:x = 3. 5$

10. y = 8x + 12

Step-by-step explanation:

12x = 4(x + 2) + 20

12x = 4x + 8 + 20

12x - 4x = 28

8x = 28

x = 28/8

x = 7/2

$x = 3.5$

10.

Slope (m) = 8

Line is crossing y-axis at (0, 12)

y-intercept (b) = 12

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging the values of m and b in the above equation, we find:

y = 8x + 12

KatRina [158]2 years ago

5 0

Answer:

x=3.5

Step-by-step explanation:

12x=4(x+2)+20

multiply the parentheses by 4

12x = 4x+8 +20

add 20 to 8

12x = 4x +28

subtract 4x on both sides

8x = 28

divide both sides by 8

x=3.5

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Find A and C,Laws of sines and cosines

stealth61 [152]

Answer:

$AC=15.9976$

Step-by-step explanation:

Law of Sines: $\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

Step 1: Define

a = 8 ft

A = 30°

b = ?

B = 89°

Step 2: Substitute and Evaluate

$\frac{sin(30)}{8} =\frac{sin(89)}{b}$

$bsin(30)=8sin(89)$

$b=\frac{8sin(89)}{sin(30)}$

$b=16cos(1)$

$b=15.9976$

$AC=15.9976$

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3 years ago

Write a recursive rule: <br><br>-2,0,2,4,6

bearhunter [10]

Write a recursive rule for the sequence.

-2,0,2,4,6

STEP 1:

a1 = -2

a2 = 0

a3 = 2

STEP 2:

d = a2-(a1)=a3

= d = 0-(-2)=2

STEP 3:

An = a+(n-1)d

ANS:

6 0

2 years ago

Find the measure of the angle below

lisov135 [29]

Answer is 10°

hope it will help u

8 0

2 years ago

ERROR ANALYSIS In Exercises 39 and 40, describe and

expeople1 [14]

Answer:

39. r = 13.4

40. m = 12

Step-by-step explanation:

39. Given the equation, $-0.8 + r = 12.6$ , to solve for r, the following are the correct steps to take to arrive at the solution:

$-0.8 + r = 12.6$ (given)

Add 0.8 to both sides of the equation (addition property of equality)

$-0.8 + r + 0.8 = 12.6 + 0.8$ (this is where the error occurred.)

$r = 13.4$

40. The correct steps to take in solving the equation, $-\frac{m}{3} = -4$ is as follows:

$-\frac{m}{3} = -4$ (given)

Multiply both sides by 3 (multiplication property of equality)

$3*-\frac{m}{3} = 3*(-4)$

$-m = -12$ (this is where the error occurred. This is what we should have at this line/step)

$m = 12$ (dividing both sides by -1)

6 0

3 years ago

in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding

RSB [31]

Answer: $59313.58

Step-by-step explanation:

Formula to find the accumulated amount of the annuity is given by :-

$FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})$

, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.

Given : m= $2000 ; m= 1 [∵ its annual] ; t= 10 years ; r= 0.06

Now substitute all these value in the formula , we get

$FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})$

⇒ $FV=(4500)(\frac{(1.06)^{10})-1}{0.06})$

⇒ $FV=(4500)(\frac{0.79084769654}{0.06})$

⇒ $FV=(4500)(13.1807949423)$

⇒ $FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}$

Hence, the accumulated amount of the annuity= $59313.58

8 0

2 years ago