a) 61°
b) 29°
C) 40°
d) 50°

Answer:

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

1.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is (0, 4)

2.

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is (-1, 16/ 3)

3.

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is (-9/ 2, 10)

Answers:

Note: 3/4 = 0.75

====================================================

Explanation:

The first thing we need to do is solve that given equation for y

4x+3y = 3

3y = 3-4x

3y = -4x+3

y = (-4x+3)/3

y = (-4x)/3 + 3/3

y = (-4/3)x + 1

This last equation is in slope intercept form, y = mx+b, where,

These m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.

We'll focus on the slope.

Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.

This means the perpendicular slope is 3/4 and this value goes in the first box.

-----------------------------

From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)

i.e. we have x = 5 and y = 3 pair up together.

Use that perpendicular slope we found earlier to say,

y = mx+b

3 = (3/4)*5 + b

3 = 15/4 + b

3 - 15/4 = b

12/4 - 15/4 = b

(12-15)/4 = b

-3/4 = b

b = -3/4 is the y intercept of the perpendicular line

Answer:

y = 3/4 x -3

Step-by-step explanation:

4 x + 3y = 3

3y = -4x + 3

y = -4/3x + 1

~~~~~~~~~~~~~~~~~~~~~~~

y = 3/4 x + b

3 = 3/4(5) + b

12 = 15 + b

B = -3

Answer:

[tex] = { \tt{ \frac{30}{120} + \frac{40}{120} }} \\ = \frac{7}{12} [/tex]

Answer:

B. x= 3y+2

Step-by-step explanation:

y=⅓x-⅔

⅔+y=⅓x

(⅔÷⅓)+(y÷⅓)=⅓x÷⅓

2+3y=x

A) 4.5×10¹¹ B) 3.5×1000

Hope it helped you

QUESTION:- EVALUATE THE EXPRESSION

EXPRESSION:-

[tex]{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} [/tex]

[tex]{( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} \\ {( {27 {a}^{3} {b}^{4} } )}^{ \frac{2}{6} } \\ {({27 {a}^{3} {b}^{4} } )}^{ \frac{ \cancel{2}}{ \cancel6 {}^{ \: 3} } } \\ {(27)}^{ \frac{1}{3} } {a}^{ \frac{3}{3} } {b}^{ \frac{4}{3} } \\{(3)}^{ \frac{ \cancel3}{ \cancel3} } {a}^{ \frac{ \cancel3}{ \cancel3} } {b}^{\frac{3 + 1}{3} } \\3a {b}^{ \frac{ \cancel3}{ \cancel3} } {b}^{ \frac{1}{3} } [/tex] [tex] \\ ANSWER->3ab \sqrt[3]{b} \: \: \: \: \: or \: \: 3a {b}^{ \frac{4}{3} } [/tex]

Answer:

1249+592=1843, rounding that you get B, 1,800

Answer:

ofc its p/q

Step-by-step explanation:

Answer:

there is 77% more chinese students.

Step-by-step explanation:

subtract the 23% of malay students from the 100% of the students in  the school.

100-23=77

Answer:

[tex]\boxed {\boxed {\sf 384 \ ft^3}}[/tex]

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

[tex]V= \pi r^2 h[/tex]

Where:

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

Substitute the values into the formula.

[tex]V= (3)(4 \ ft)^2 (8 \ ft)[/tex]

Solve the exponent.

[tex]V= (3)(16 \ ft^2)(8 \ ft)[/tex]

Multiply the three numbers together.

[tex]V= 48 \ ft^2 (8 \ ft)[/tex]

[tex]V= 384 \ ft^3[/tex]

The volume of the cylinder is approximately 384 cubic feet.

Answer: 36

Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!

Answer:

the answer will be 44 I think I hoped I helped if not sorry.

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

We can setup a ratio in terms of words per minute.

Mr. Brown can type 80 words in 2 minutes, so our ratio looks like this:

40:2

In order to find how many words he can type in 40 minutes, we must set the minutes side of our ratio to 40. In order to do that, we must multiply our minutes side by a factor that makes it equal 40, and then multiply the words side by the same factor. We can divide 40 by 2 to figure out the factor, which is 20. Since the factor is 20, we must multiply it by the words side to figure out how many words he types in 40 minutes, which is 20 · 80 = 1600 words.

Answer:

y = 5/2

Step-by-step explanation:

An inverse variation is of the form

xy = k where k is a constant

From the first pair of point

2*5 = k

10 = k

xy = 10

Using the second pair of points

4y = 10

Divide by 5

4y/4 = 10/4

y = 5/2

Answer:

4,3

Step-by-step explanation:

it went up two so i guess the other has to go down two?

Answer: 11/18          

1. Convert 0.5 to a fraction

5/10

5/10 simplifies to 1/2

2. Add 1/2 and 1/9 by finding a common denominator

Common deniminator is 18 (2*9=18, 9*2=18)

1/2=9/18

1/9=2/18

3. Add

9/18+2/18=11/18

4. The answer is 11/18

[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]

Answer:

(-5, 3)

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

5.5/10 = 8.5/(y+10)

if you solve it, it'll look like

y = 60/11

which is approximately 5.5

Answered by GAUTHMATH

Answer:

-14y^2-154y

Step-by-step explanation:

-14y(y+11)

Distribute

-14y*y + -14y*11

-14y^2-154y

Answer:

-14y^2-154y

Step-by-step explanation:

Solution :

[tex]$x=f(y) = \frac{e^y + e^{-y}}{2} , \ \ \ \ \ 0 \leq y \leq \ln 2$[/tex]

[tex]$\frac{dx}{dy} = \frac{e^y + e^{-y}}{2}$[/tex]

[tex]$\left(\frac{dx}{dy}\right)^2 = \frac{e^{2y} - 2 + e^{-2y}}{4}$[/tex]

[tex]$1+\left(\frac{dx}{dy}\right)^2 = 1+\frac{e^{2y} - 2 + e^{-2y}}{4} = \frac{e^{2y} + 2 + e^{-2y}}{4}$[/tex]

                  [tex]$ = \left(\frac{e^y + e^{-y}}{2}\right)^2$[/tex]

[tex]$\sqrt{1+\left(\frac{dx}{dy}\right)^2} = \sqrt{\left(\frac{e^y + e^{-y}}{2}\right)^2}=\frac{e^y + e^{-y}}{2}$[/tex]

[tex]$S = \int_{y=a}^b 2 \pix \sqrt{1+\left(\frac{dx}{dy}\right)^2 } \ dy$[/tex]

  [tex]$=\int_{0}^{\ln2} 2 \pi \left(\frac{e^y+e^{-y}}{2}\right) \left(\frac{e^y+e^{-y}}{2}\right) \ dy$[/tex]

  [tex]$=\frac{\pi}{2}\int_{0}^{\ln 2}(e^y+e^{-y})^2 \ dy = \frac{\pi}{2}\int_{0}^{\ln 2}(e^{2y}+e^{-2y}+2) \ dy $[/tex]

  [tex]$=\frac{\pi}{2} \left[ \frac{e^{2y}}{2} + \frac{e^{-2y}}{-2} + 2y \right]_2^{\ln 2}$[/tex]

  [tex]$=\frac{\pi}{2} \left[ \left(\frac{e^{2 \ln 2}}{2} + \frac{e^{-2\ln2}}{-2} + 2 \ln2 \right) - \left( \frac{e^0}{2} + \frac{e^0}{-2}+0\right) \right]$[/tex]

  [tex]$=\frac{\pi}{2}\left[ \frac{e^{\ln4}}{2} - \frac{e^{\ln(1/4)}}{2} + \ln 4 - \left( \frac{1}{2} - \frac{1}{2} + 0 \right) \right]$[/tex]

  [tex]$=\frac{\pi}{2} \left[\frac{4}{2} -\frac{1/4}{2} + \ln 4 \right]$[/tex]

  [tex]$=\frac{\pi}{2} \left[ 2-\frac{1}{8} + \ln 4 \right]$[/tex]

  [tex]$=\left( \frac{15}{8} + \ln 4 \right) \frac{\pi}{2}$[/tex]

Therefore, [tex]$S = \frac{15}{16} \pi + \pi \ln 2$[/tex]

Answer:

Cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Step-by-step explanation:

Let

Cost of each football ticket=x

Cost of each basket ball ticket=y

According to question

[tex]2x+y=126.77[/tex]...(1)

[tex]x+2y=128.86[/tex] ....(2)

We have to find  the cost of each ticket.

Equation (1) multiply by 2 then we get

[tex]4x+2y=253.54[/tex]  .....(3)

Now, subtract equation (2) from (3)

[tex]3x=124.68[/tex]

[tex]x=124.68/3[/tex]

[tex]x=41.56[/tex]

Now, using the value of x in equation (2)

[tex]41.56+2y=128.86[/tex]

[tex]2y=128.86-41.56[/tex]

[tex]2y=87.3[/tex]

[tex]y=87.3/2=43.65[/tex]

Hence, cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Answer:

Hello Bro How Are You....?

Step-by-step explanation:

sin x0= 7/9.4

sin x0= 0.745

x0 = sin^-1 0.745

x0= 48.2

Step-by-step explanation:

First step:

Distance = 300km

Speed = 60km/hr

We know,

Using Speed = Distance ÷ Time

Time = Distance ÷ Speed

we have Total Time = 300÷60

Total Time = 5hr

Again,

Distance = 200km. (Time = 5hr,

Speed =? Distance = 200)

Speed = Distance÷ Time

= 200÷5

= 40km/hr

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, tangent.

Remember: SOH-CAH-TOA

From the angle, we know the opposite side and want to figure out the adjacent side. Therefore, we should use the tangent function.

tan(35) = 6/RS

RS = 6 / tan(35)

RS = 8.6

Hope this helps!

Answer:

2<x<3

Step-by-step explanation:

4x-4<8 AND 9x+5>23

Solve the first inequality

4x-4<8

Add 4 to each side

4x-4+4 <8+4

4x<12

Divide by 4

4x/4 <12/4

x <3

Solve the second inequality

9x+5>23

Subtract 5 from each side

9x+5-5>23-5

9x >18

Divide by 9

9x/9>18/9

x>2

Put together

x<3 and x>2

2<x<3

hmmm...                         . . . . . . . . . . . .

Answer:

(x+3)*3=3x+9

Step-by-step:

Answer:

A Juan le quedan 45 empanadas.

Step-by-step explanation:

Dado que Juan vende 180 empanadas al día, y por la mañana vende las dos terceras partes y por la tarde la cuarta parte de lo que queda, para determinar cuántas empanadas le queda por vender en la noche se debe realizar el siguiente cálculo:

180 x 2 / 3 = 120

180 - 120 = 60

60 x 1/4 = 15

60 - 15 = 45

Por lo tanto, a Juan le quedan 45 empanadas.

Answer:

It works.

Step-by-step explanation:

11x≠42

So 42/11 is not a viable solution for x. All other real numbers work, so x=-5 is a solution.

Answer:

4

Step-by-step explanation:

2/x = 5/10

Using cross products

2*10 = 5x

20 =5x

Divide each side by 5

20/5 = 5x/5

4=x

The unknown number is 4

Answer:

? = 4

Step-by-step explanation:

I am using x for ?

[tex]\frac{2}{x}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

5x = 20 ( divide both sides by 5 ) x = 4

The missing number is 4