Complete the equation for f(x)

Answer:

Step-by-step explanation:

7x + 8y = -5

       8y = -7x - 5

Divide the whole equation by 8

[tex]\frac{8y}{8}=\frac{-7x}{8}-\frac{5}{8}\\\\y =\frac{-7}{8}x-\frac{5}{8}[/tex]

Parallel lines have same slope

Slope of the parallel line = (-7/8)

Slope of the line perpendicular to this line = -1/m  = -1 ÷ (-7/8)

                                                                      [tex]= (-1)*\frac{8}{-7}\\\\= \frac{8}{7}[/tex]

Answer:

x = 20

Step-by-step explanation:

Assuming that both lines are straight lines, we can make opposite sides equal. So... 3x+50 = 6x-10 --> 3x+60=6x --> 60=3x --> x=20

Answer:

yellow area = 5.37 ft²

Step-by-step explanation:

area of square = L x W = 5 x 5 = 25 ft²

radius = 2.5 ft

area of circle = PiR² = (3.14)(2.5²) = 19.63 ft²

25 - 19.63 = 5.37 ft²

The area of the yellow region is 5.375 square feet.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the side of a square = 5 feet and radius of a circle = 2.5 feet.

Here, area of a square = side²

= 5²

= 25 square feet

Area of a circle = πr²

= 3.14×2.5²

= 19.625 square feet

So, the area of the yellow region = 25-19.625

= 5.375 square feet

Therefore, the area of the yellow region is 5.375 square feet.

Learn more about the area here:

https://brainly.com/question/27683633.

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Solution :

Given :

The rate of change of y is proportional to y.

Therefore, [tex]$\frac{dy}{dt} \propto y$[/tex]

[tex]$\frac{dy}{dt} = k y$[/tex] ,             where k is the proportionality constant

[tex]$\frac{dy}{y}=k \ dt$[/tex]

Taking integration on both the sides,

[tex]$\int \frac{dy}{y}=\int kdt$[/tex]

[tex]$\int \frac{dy}{y}=k\int dt$[/tex]

[tex]$\ln |y| = kt+C$[/tex],    where C is the integration constant

[tex]$y=e^{kt+C}$[/tex]

[tex]$y=e^{kT}e^C$[/tex]

[tex]$y(t)=C_1e^{kt}$[/tex]  ....................(1)

When t = 0, y = 2, so

[tex]$2=c_1e^{k\times 0}$[/tex]

[tex]$2=c_1e^{ 0}$[/tex]

[tex]$2=C_1$[/tex]

From equation (1),

[tex]$y=2e^{kt}$[/tex] ........................(2)

when t = 2, y = 4

[tex]$4=2e^{k\times 2}$[/tex]

[tex]$e^{2k}=\frac{4}{2}$[/tex]

[tex]$e^{2k}=2$[/tex]

[tex]$2k= \ln(2)$[/tex]

[tex]$k=\frac{1}{2} \ln(2)$[/tex]

From (2),

[tex]$y=2e^{\frac{1}{2}\ln(2)t}$[/tex]

[tex]$y=2e^{\frac{t}{2}\ln(2)}$[/tex]

[tex]$y=2e^{\ln(2)^{t/2}}$[/tex]

[tex]$y=2.2^{t/2}$[/tex]

When t = 3,

[tex]$y = 2 . 2 ^{3/2}$[/tex]

[tex]$y=2[(\sqrt2)^2]^{3/2}$[/tex]

[tex]$y= 2. 2\sqrt2$[/tex]

[tex]$y=4 \sqrt2$[/tex]

Answer:

y=2x+5

Step-by-step explanation:

To find a linear equation you must find the slope and y intercept to create an equation in y=mx+b form (slope-intercept form)

So slope is = y2-y1 / x2-x1 [2 and 1 are subscripts] so 11-7/3-1 so m=4/2 = 2

Slope = 2, now find b

So using y = mx + b, substitute what you know so 7 = 2(1) + b so b=7-2 = 5

Put it all together y = 2x + 5

Answer:

130 degrees is your answer

Step-by-step explanation:

The measurement of angle C is given by the expression 180° – 25° – 25°. So, angle C measures 130°.- answer from edmentum

Answer:

39/7

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

7 × 5 = 35

Step 2

Add the answer from Step 1 to the numerator

35 + 4 = 39

Step 3

Write answer from Step 2 over the denominator

39/7

Answer:

Description

Step-by-step explanation:

5 = 47, vertical angles

6 = 74, triangle interior angles add up to 180

7 = 59, linear pairs add up to 180

Answer:

Number 4

Step-by-step explanation:

A theoretical probability chance is a probably where all the other chances are equal. In this case, you can roll 6 different types of numbers on the dice: 1, 2, 3, 4, 5, and 6. And the number of times the dice was rolled was 60 times. So, we can divide 60/6 because there were 60 rolls and 6 different possibilities. 60/6=10, so 10 is the theoretical probability. As you can see, the graph shows that the number 4 was rolled 10 times, which means that number 4 is the experimental probability that matched the theoretical probability.

Answer:

Step-by-step explanation:

SVT and TVU

Hope that helps!

Answer:

20000

Step-by-step explanation:

9600 = 80% after he gave 40% to his children

80%=4/5

9600 / 4 * 5 = 12000

12000 = 60% of the original

60%=3/5

12000 / 3 * 5 = 20000

Answer:

2(1/2 x 4 x 6) = x

expaination:

area of triangle = 1/2 x 2 x 6 sq yards

multiply by $2/sq yard

Answer: $24

Step-by-step explanation:

The formula for a triangle is 1/2 times base times height

so 0.5 x 4 x 6

0.5 x 4 = 2

2 x 6 = 12

12 x $2 = 24

so you charge $24 dollars

Hope this helps.

Answer:

I think the surface area is 276 if I'm not mistaken hope this helps!

Answer:

16:17

Step-by-step explanation:

when it's pm, add 12 to the 12 hr time

Answer:

Part A) [tex](3x^2 - 6x - 10) + (5x^2 + 9x - 8 ) =8x^2 + 3x - 18[/tex]

Part B) [tex](10x^2 - x - 3) - (8x^2+3x-18) = 2x^2 -4x+15[/tex]

Answer:

either A,B,C, or D?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

She will have $90 left over!

Step-by-step explanation:

Hope this is correct!

Answer:

correct answer

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

a^2 +b^2 = c^2

5^2 + b^2 = 13^2

25 +b^2 = 169

b^2= 169-25

b^2=144

b= [tex]\sqrt{144}[/tex]

b= 12

Answer:

the value of c is 4. or may consider it 4square as per the formula

hope is helps you.

you may Mark me as brainliest

Answer:

8

Step-by-step explanation:

18-10=8 units

Answer:

 8

Step-by-step explanation:

The total height of the rectangle and triangle is given as 18

The height of the rectangle is given as 10 , then

height of triangle = 18 - 10 = 8

Answer:

The slope is 2/3 and the intercept is ( 0 , 6 )

sorry if I am wrong

Answer: Graph the inequality by finding the boundary line, then shading the appropriate area. In slope intercept form its y>-6 + 2x/3. Graph the y intercept -6, then use rise/run and go up 2 points and then to the right 3 points. Then shade the upper right because it is a greater sign and make the lines dashed.

Step-by-step explanation: Hope this helps :)

Answer:

x

2

+

2

x

−

3

=

0

x

2

−

3

x

=

0

3

x

2

−

15

x

=

0

Step-by-step explanation:

Answer:

The slope of the line is 5

Step-by-step explanation:

When we talk of the slope of a straight line graph, we refer to the rate at which the values on the y-axis changes as a ratio of the changes we have on the x-axis

Now, from the question, number of hours is placed on x-axis, while we have the amounts on the y-axis

having $5 per hour means the rate of change of what is earned to number of hours worked is 5 and this is the slope of the line

Answer:

x = 90 degrees, right triangle

Step-by-step explanation:

48 + 42 + x = 180

90 + x = 180

180 - 90 = x

x = 90 degrees

B. 2x^4-11x^3+7x^2+5x-3

Answer:

y + 2 = 4(x - 3)

Step-by-step explanation:

Answer: y+2= 4(x-3)

Step-by-step explanation: