Based on the figure, select all true equations.
A. cos (42) = b/c
B. cos (48) = b/c
C. sin (42) = b/c
D. sin (48) = b/c
E. tan (42) = b/a
F. tan 48 = a/b

Answer:

y = 3x - 5  

Step-by-step explanation:

1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:

[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]

So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:

[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]

3x+2-x+2=x+8

3x-x=2x

2+2=4

4x+4=x+8

    -4     -4

4x=x+4

-x   -x

3x=4

/3   /3

x=4/3 or 1 1/3 or 1.3333

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hope it helps

Answer:

x = 4

Step-by-step explanation:

3x+2−x+2=x+8  

Add the numbers

3 + 2 − + 2 = + 8 3 + 4 − = + 8 2

Combine like terms

3 + 4 − = + 8 2 + 4 = + 8 3

Subtract   4  from both sides of the equation  

Simplify

Subtract the numbers  

2x+4−4=x+8−4

2 = + 8 − 4  

Subtract the numbers

2 = + 4 5

Subtract  x from both sides of the equation

2 = + 4 2 − = + 4 − 6

Simplify

Combine like terms

Multiply by 1

Combine like terms

= 4

Solution

= 4

Answer:

A) s=32t

B) 224 ft/s

Step-by-step explanation:

A)

In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between​ time, t, and​ speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:

y=mx+c

s=mt+c

32=1m+c

c=32-m

160=5m+C

160=5m+32-m

128=4m

m=32

c=32-m

=32-32=0

So our equation is s=32t

B)

s=32t

s=32(7)=224 ft/s

Answer:

Scalene triangle because it's all sides are unequal

Answer:

Scalene triangle

Step-by-step explanation:

Answer:

b 17/18

Step-by-step explanation:

Solve the one's in bracket then later solve everything together

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can only tell you that 4x-y=6 is parallel to y=4x-6. Do u mind sort out the rest of the variables and the numbers on your own?

The lines parallel to given line are y + 1 = 4(x - 2) and y = 4x + 11. Therefore, option C and D are the correct answers.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the equation of a line is 4x-y=6.

Now, y=4x-6

Here, the slope of the equation is 4.

The slope of a line parallel to given line is m1=m2

So, here the slope of a parallel line is 4.

y + 1 = 4(x - 2) and y = 4x + 11 have same slope, then they are parallel to given line.

Therefore, option C and D are the correct answers.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ7

Answer:

34 tulips

Step-by-step explanation:

1,428/42=34

Answer:

answer is 34

Step-by-step explanation:

1,428 divided by 42 = 34

Answer:

Price after off =80-  1/4 * 80 = 80-20 = $60

Coupon discount = 60*10/100 = $6

So, he have to pay, 60-6 = $54

Complete question :

Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold. Give an expression for the profit made.

Answer:

(2y + 4x) - $100

Step-by-step explanation:

Given that:

Cost of supply = $100

Supplies :

binders, sales price = $4

Pencils, sales price = $2

Number of binders sold = x

Number of pencils sold = y

The revenue from sale :

(Cost of pencils * number of pencils) + (cost of binders * number of binders)

Revenue = 2y + 4x

Profit, p = Revenue - Cost of supply

p = (2y + 4x) - $100

Answer:

Step-by-step explanation: Lin's family completed 8% of the trips distance.

Answer:

234 miles

Step-by-step explanation:

72% of 325=234

Answer:

∠AOB = 112°

Step-by-step explanation:

mentally draw line segment OC

that line bisects 124° so ∠OCB = 1/2(124°) = 62°

ΔOCB is isosceles because OB = OC

∠OBC = 62° because it is equal to ∠OCB

all triangle interior angles add up to 180°

∠BOC = 180° - 62° - 62° = 56°

∠AOC = 56° because OC was a bisector of ∠AOB

∠AOB = 56° + 56° = 112°

Answer:

A

Step-by-step explanation:

JK is longer than JL and isn't 9 units long

A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graph below shows Marissa's distance from the starting point of her trip for different segments of time.

A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ6

The question seems incomplete, the missing part has been below:

A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.

B. What is Marissa's distance from the starting point at the end of her trip?

Answer: p=-6.25

Step-by-step explanation:

Answer:

p = -6.25

Step-by-step explanation:

[tex]-160=22+8(3p-4)[/tex]

subtract 22 from both sides:

[tex]-182=8(3p-4)[/tex]

divide by 8 on both sides:

[tex]-22.75=3p-4[/tex]

add 4 to both sides:

[tex]-18.75=3p[/tex]

divide by 3 on both sides:

[tex]p=-6.25[/tex]

Answer:

A

Step-by-step explanation:

Answer:

[tex] area \: of \: trapezium = \: \frac{1}{2} (a + b) \times h[/tex]

Therefore, 1/2 (9 +17)*8

Therefore, 1/2(26)*8

Therefore, 13*8

Therefore, 104

Your answer is 104ft²

Answer:

55

Step-by-step explanation:

62+63=125

180-125=55

Answer:

I AM SO SORRY but I need that point soo plsss Im sooo sorry

Answer:

The answer is (x+2)²+(y-3)²=29.

Hope it helps uh

Answer:

w = 32

Step-by-step explanation:

Remark

The value of the exterior angle (marked w + 33) = the sum of the two angles not connected to it. w and w + 1

Equation

w + w + 1 = w + 33

Solution

2w + 1 = w + 33      Subtract w from both sides.

2w - w + 1 = 33       Combine

w + 1 = 33               Subtract 1 from both sides.

w = 33 - 1

w= 32        

Answer:

angle C = 69 degrees

Step-by-step explanation:

(6x - 9) + (6x - 24) + (81 - x) = 180

11x + 48 = 180

11x = 132

x = 12

(81 - 12) = 69 degrees

Answer:

69°

Step-by-step explanation:

All angles in a triangle must add to 180°:

(5x+9)+(4x+15)+(x+36)=180

10x+60=180

10x=120

x=12°

The problem asks for the measure of angle C:

C=(81-x)°=69°

You were on the right track because you got the value of x correct. You just didn't answer the problem correctly.

Answer:the correct answer is b

Step-by-step explanation:

Answer:

hey mate!!

Step-by-step explanation:

x

2

−25=144

X^2=144+25

x^2=169

x=√169

x=13

Sorry mate check out the answer !