Sketch the graphs. -3x+4y=-4

Answer:

y = [tex]\frac{\pi}{3}[/tex]

Step-by-step explanation:

using the addition formula for sine

sin(x + y) = sinxcosy + cosxsiny

then

sinxcosy + cosxsiny = [tex]\frac{1}{2}[/tex] sinx + [tex]\frac{\sqrt{3} }{2}[/tex] cosx

for the 2 sides to be equal , then

cosy = [tex]\frac{1}{2}[/tex] and siny = [tex]\frac{\sqrt{3} }{2}[/tex]

then

y = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex]

and

y = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex]

thus y = [tex]\frac{\pi }{3}[/tex]

[tex]\\ \rm\Rrightarrow sin(x+y)=\dfrac{1}{2}sinx+\dfrac{\sqrt{3}}{2}cosx[/tex]

[tex]\\ \rm\Rrightarrow sinxcosy+cosxsiny=\dfrac{1}{2}sinx+\dfrac{\sqrt{3}}{2}cosx[/tex]

[tex]\\ \rm\Rrightarrow cosy+siny=\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}[/tex]

[tex]\\ \rm\Rrightarrow cos\dfrac{\pi}{3}+sin\dfrac{\pi}{3}=\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}[/tex]

Option B

Answer:

[tex]y = - 5x + 17[/tex]

Step-by-step explanation:

[tex]i n \: slope \: intercept \: form \: y = mx + c \\ for \: the \: \: liear \: equaton = 5x + y = 17 \\ y = - 5x + 17[/tex]

Answer:

$90

Step-by-step explanation:

To find commission, you multiply the amount made by the rate of which they can earn.

300*.3 (As this is a 30 percent commission)

Answer:

[tex]1\frac{89}{100}[/tex] m

Step-by-step explanation:

The formula to find the area of a rectangle: [tex]l * b[/tex], where [tex]l[/tex] is the length and [tex]b[/tex] is the breadth.

1) Substitute the values into the formula.

[tex]12\frac{3}{5} = 6\frac{2}{3} * b[/tex]

2) Change it to an improper fraction and solve for [tex]b[/tex].

[tex]\frac{63}{5} = \frac{20}{3} * b[/tex]

[tex]\frac{3}{20}[/tex] * [tex]\frac{63}{5}[/tex] = [tex]b[/tex]

[tex]\frac{189}{100} = b[/tex]

3) Change it to a mixed fraction because the length is in a mixed fraction. To do it, do a long division.

= [tex]1\frac{89}{100}[/tex]

Answer: 176.625

Step-by-step explanation: pie × r² = 3.14 × 7.5 × 7.5

Answer:

14 dollars

The trick is to subtract the known value by the result of the subtraction problem to get the missing value as shown below;

[tex]42 - 28 = 14[/tex]

Answer:

Mike earned 14 dollars on Wednesday.

Step-by-step explanation:

You take the total($42) and subtract what he earned on monday($28), and you get $14, which is how much he earned on wednesday.

Hope this helps!

Answer:

Area of the parallelogram is 96 m^2

Step-by-step explanation:

The formula of Area of parallelogram: Area = Base * Height

Area = Base * Height

Area = 12 m * 8 m = 96 m^2.

Answer:

96m squared

Step-by-step explanation:

BxH=Area of parallelogram

12x8=96

Answer:

D

Step-by-step explanation:

volume of a sphere is = to

v= 4/3pi(r^3)

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.

SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.

In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.

Thus, by the SSS similarity theorem,

[tex]\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77[/tex]

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

Learn more about the SSS similarity theorem here;

https://brainly.com/question/21247688

Answer:

77

Step-by-step explanation:

Answer:

There is a strong correlation with one outlier and this forms a pattern going up

Trust me I had trouble and my teacher showed me how to get it.

Answer:

There are 6 points and one outlier in this graph. Excluding the lowest and highest points, four dots are left to set up the trend line. Among these points, we can see the dots lowering when moving to the right side.

This means the trend line is negative.

For correlation, it is clear that the four dots are well organized in descending manner. Because of this, the graph will still have a high negative correlation even with the outlier(s). Therefore the plots in this graph have a strong negative correlation.

Answer:

29

Step-by-step explanation:

87/3 is 29 its that easy

Answer:

31,772

Step-by-step explanation:

10,000(1.08) = 10,800

Do this 14 more times, your answer times 1.08. You will end up with 31,721.6911418... round it and u will get $31,772

Answer:

Step-by-step explanation:

Use the slope formula.

SLOPE:

[tex]:\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\sf{\dfrac{-19-1}{0-4}=\dfrac{-20}{-4}=\boxed{\sf{5}}[/tex]

The slope is 5.

I hope this helps. Let me know if you have any questions.

Answer:

128degrees

Step-by-step explanation:

180-52=128

Answer:

$21,389.79

Step-by-step explanation:

Answer:

The two equations of each line is

y = x + 10 and y = -x + 5

I am unable to idenfity your option choices due to formating

Step-by-step explanation:

I've attached my work

Hope it helps, let me know if you have any questions/concerns !

Have a nice rest of your day :)

Answer:

1st option

Step-by-step explanation:

theequation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x + 2y = - 10 ( subtract 5x from both sides )

2y = - 5x - 10 ( divide terms by 2 )

y = - [tex]\frac{5}{2}[/tex] x - 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{2}[/tex]

Answer:

a. 1385.44 ft²

Step-by-step explanation:

Area of a circle

Given

Solving

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 4 ) and (x₂, y₂ ) = (0, 22 )

m = [tex]\frac{22-4}{0-(-8)}[/tex] = [tex]\frac{18}{0+8}[/tex] = [tex]\frac{18}{8}[/tex] = [tex]\frac{9}{4}[/tex]

the line crosses the y- axis at (0, 22 ) ⇒ c = 22

y = [tex]\frac{9}{4}[/tex] x + 22 ← equation of line

Answer:

1/2

Step-by-step explanation:

Find two easy-to work with points

-3,2    and   -1,3  

slope, m = (y1-y2 ) / ( x1-x2)  

                  (2-3) / ( -3 - -1) = -1/(-2)  = 1/2  

( it does not matter which point you select as   x1 ,y1   or  x2, y2 )

Answer:

-199.1

Step-by-step explanation:

18.8% × 7= 131.6%

630×131.6=82908   move the decimal two places to the left you get 829.08

630-829.08= -199.08 round to the nearest tenth you get -199.1

Answer:

Step-by-step explanation:

Each x-value corresponds to only a single y-value.

Here, the relation is : y = 5x

This relation is injective, meaning it is a one-to-one function.

Answer:

Yes

Step-by-step explanation:

Each value in the domain corresponds to exactly one value in the range.

Answer:

21 m²

Step-by-step explanation:

Area of a trapezoid is given by the formula:

A = (a+b)/2×h

(where h is the vertcial height, and a and b are the parallel lines)

Substituting values given gives us:

A = (5+9)/2×3

A = 14/2×3

A = 7×3

A = 21

Units will be m² as this is area.

Answer:

21

Step-by-step explanation:

the formula is:

[(base1+base2)/2]*height
[(9+5)/2]*3

21

14.    People who buy a pair of shoes from the store

15    did not include those who visited the store, but did not buy a pair of shoes

16.    every 5th buyer

Answer:

6x-1

Step-by-step explanation:

I dont know  how to explain but it is correct

Answer:

6x – 1

Step-by-step explanation:

Answer:

b = c = 75°

Step-by-step explanation:

b and 105° are adjacent angles and sum to 180° , then

b + 105° = 180° ( subtract 105° from both sides )

b = 75°

b and c are vertically opposite angles and are congruent , so

c = b = 75°

The inequality that can be used to represent the situation is x + 15 ≥ y

Let

The inequality:

x + 15 ≥ y

This means, the number of pages read plus 15 pages read tonight is greater than or equal to the total number of pages in the textbook.

Learn more about inequality:

https://brainly.com/question/25275758

Answer: You must start with the parentheses first because you have to leave the x by itself.

Step-by-step explanation:

That means it would be turned into 3(-5x) =6.

The average is written as 0.324

To change it to a percent multiply it by 100

0.324 x 100 = 32.4%

Answer: 32.4%

Answer:

117 cm²

Step-by-step explanation:

Right triangular prism: 5 surfaces

SA: 2 triangles + 3 rectangles

Triangles

A = bh/2

A = (4 · 3)/2 = 12/2

6 cm²

Rectangles

A = bh

A = 5 · 7

35 cm²

Total

SA: 2 triangles + 3 rectangles

SA: 2(6) + 3(35)

117 cm²

Hope this helps and God bless!