Find the area using sine rules.

Answer:

a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

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

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]

Comparing this with general formula, we can conclude that:

The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

Part c:

5x + 10y -20 = 0

10y = -5x + 20

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

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Hope this helps :)

☁️ Answer ☁️

4a + 2b + 8

Hope it helps.

Have a nice day noona/hyung ￣▽￣

Answer:

70

Step-by-step explanation:

6x5=30

8x5=40

40+30=70

Answer:

D. -1/8

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Complete question :

Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?

Answer:

96

Step-by-step explanation:

Given that:

Total area of wall = 24 ft²

Area of each division =. 1/4 ft²

Number of division = x

The number of divisions * area of each division = total area of wall

x * 1/4ft² = 24ft²

Divide both sides by 1/4 ft²

x = 24ft² ÷ 1/4 ft²

x = 24 * 4 /1

x = 96

Hence, wall is divided into 96 squares

Answer:

I think the answer will be Y=X+7

Answer:

y=x+7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-2)/(0-(-5))

m=5/(0+5)

m=5/5

m=1

y-y1=m(x-x1)

y-2=1(x-(-5))

y-2=x+5

y=x+5+2

y=x+7

Answer:

For this expression, a = 3, b = 6, and c = 5.

Step-by-step explanation:

For the given expression, a = 3, b = 6, and c = 5.

We have given that,

Type the correct answer in each box. Use numerals instead of words. If necessary, use for the fraction bar(s). 3 to the power 6/5.

The expression above can also be written in the form c√a^b.

We have to determine the,

For this expression, a = , b = , and c =

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables.

For this expression, a = 3, b = 6, and c = 5.

To learn more about the expression visit:

https://brainly.com/question/9752655

#SPJ2

Answer:

2,820 m

Step-by-step explanation:

Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.

The perimeter p of a rectangle of length l and width b is given as

p = 2(l + b)

Hence p = 2( 250 + 220)

= 2 * 470

= 940 m

Since each side is to be fenced with 3 rows of wires, the length of wire required

= 3 * 940m

= 2,820 m

Answer:

the first answer is correct

Step-by-step explanation:

before we started we had not caught any fish

Answer:

I think a is correct bc the rest aren't true

hope this helped

Answer:

[tex] \frac{14}{5} [/tex]

Step-by-step explanation:

1) Use this rule : a ÷ b/c = a × c/b.

[tex] \frac{7}{2} \times \frac{4}{5} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{7 \times 4}{2 \times 5} [/tex]

3) Simplify 7 × 4 to 28.

[tex] \frac{28}{2 \times 5} [/tex]

4) Simplify 2 × 5 to 10.

[tex] \frac{28}{10} [/tex]

5) Simplify.

[tex] \frac{14}{5} [/tex]

Therefor, the answer is 14/5. And is decimal form it would be, 2.8.

Answer:

4e-12=36

4e=36+12

4e=48

e=12

Step-by-step explanation:

pasos

1mover la constante a la derecha añadiendo su opuesto en ambos lados (+12 +12)

2debido a que dos opuestos sumados dan cero, remuévenos la expresión es decir (4e=36+12)

3sumar los números es decir sumar (36+12)

4divide ambos lados de la ecuación entre 4 es decir (4e/4 =48/4)

5cualquier expresión dividida entre si es igual a 1

6calcular el cociente es decir (48/4 e=12)

Answer:

12

Step-by-step explanation:

4e=36+12

4e=48

e=12

hope it helps

Given:

In an office, there are 75 women and 125 men.

To find:

The ratio of the number of men to the number of women.

Solution:

We have,

Number of men = 125

Number of women = 75

The ratio of the number of men to the number of women is:

[tex]\text{Required Ratio}=\dfrac{\text{Number of men}}{\text{Number of women}}[/tex]

[tex]\text{Required Ratio}=\dfrac{125}{75}[/tex]

[tex]\text{Required Ratio}=\dfrac{5}{3}[/tex]

[tex]\text{Required Ratio}=5:3[/tex]

Therefore, the ratio of the number of men to the number of women is 5:3.

Answer:

Independent Events

Step-by-step explanation:

Given

[tex]Green = 3\\ Orange = 2\\ Red = 5[/tex]

Required

Dependent or independent event

The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.

Before selecting the orange jelly:

[tex]P(Green) = \frac{Green}{Total}[/tex]

[tex]P(Green) = \frac{3}{10}[/tex]

After selecting the orange jelly:

[tex]P(Green) = \frac{Green}{Total}[/tex]

[tex]P(Green) = \frac{3}{10}[/tex]

Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.

Answer:

The slope represents the number of cookies sold for each dollar.

Answer: it is C

Step-by-step explanation: each point is a number boxes sold and some profit

Answer:

98 degrees

Step-by-step explanation:

the full degree of a triangle is 180 degrees

52 + 30 = 82

180 - 82 = 98

Answer:400 cm

Step-by-step explanation:

Answer:

120 cu. cm

Step-by-step explanation:

Answer: [tex]70,547.84\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

The weight of a Pachyrhinosaurus is 4 tons

We know,  [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]

[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]

Answer:

x=7/3 or x=2.33

Step-by-step explanation:

9x^2 - 52x + 33 = -10x - 16

Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.

Add 10x+16 on both sides of the equation, and simplifying.

9x^2 - 52x + 33 + 10x + 16  = -10x - 16 + 10x + 16

9x^2 - 42x + 49 = 0

Guess What! This equation is a Perfect Square Trinomial.

For a Perfect Square Trinomial, you will be able to take the square root of the first  and third terms, and the coefficient of the second term will be twice the square root of the  third term. The “sign” of your second term in your answer will be the same as the linear term sign.

So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0

So, we can rewrite this as (3x - 7)^2=0

Now, To solve, We can set each factor equal to 0, and solve.

*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*

Add 7 on both sides.

3x - 7 = 0

     +7  +7

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

3x=7

Divide by 3 on both sides.

3x/3 = 7/3

x=7/3

As a decimal: 2.33...

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

             -Aadi x

Answer:

(3x+1)(5x-2)

Step-by-step explanation:

Given the expression

15x^2-6x+5x-2

Factorize;

3x(5x-2)+ 1(5x-2)

(3x+1)(5x-2)

Hence the factorized form is (3x+1)(5x-2)

Answer:

Step-by-step explanation:

E

Answer:

the third one

Step-by-step explanation:

basically b<47/15 =>

b<3* 2/15

Answer:

Option C. 0.4

Step-by-step explanation:

Given data

0.064

We are required to find the cube root of the above number

The cube root is also expressed  mathematically as

= ∛0.064

= 0.4

Hence, the answer is option C 0.4

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

Answer:

x=12

Step-by-step explanation:

[tex]x^{2}[/tex]=[tex]15^{2}[/tex]-[tex]9^{2}[/tex]

[tex]x^{2}[/tex]=225-81

[tex]x^{2}[/tex]=144 /sqrt

x=12

Answer:

90 Minutes

Step-by-step explanation:

7020 divide by 78 = 90

Answer:

The answer is 26. Add them all together then divide by the amount of numbers.

Step-by-step explanation: