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An equation in slope intercept form of the line is,

⇒ y = 1/4 x + 5

What is Equation of line?

An equation in slope intercept form of the line with slope m is,

y = mx + b

Where, b is y-intercept.

Given that;

In the graph y-intercept at 5.

And two points are (-4, 4) and (4, 6).

Now, Let two points on the graph are (-4, 4) and (4, 6).

Hence, Slope (m) = 6 - 4 / 4 - (-4)

                           = 2/8

                           = 1/4

And, On the graph y - intercept is 5.

Hence, Value of y - intercept (b) = 5

So, An equation in slope intercept form of the line is,

y = 1/4 x + 5

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Answer:

x = 7

Step-by-step explanation:

∠CAD is a right angle, right angles has 90° measurement.

m∠DAB = 7x - 4 AB bisects ∠CAD this means it divides the angle into two equal parts.

So it's safe to write the following equation:

7x - 4 = 45 (half of 90°)

add 4 to bot sides

7x = 49 divide both sides by 7

x = 7

Answer:

it may be helpful for u

The equation 7x + 5 = 4x + 5 + 3x has an Infinite number of solutions. which is the correct answer would be option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have to determine which equation has an infinite number of solutions

As per option (C),

⇒ 7x + 5 = 4x + 5 + 3x

Combine comparable terms to simplify both sides of the problem.

You have become left with 7x+5 = 7x+5.

On both sides, subtract 7x.

This gives you 5=5.

Subtraction 5 from both sides

⇒ 0 = 0

Thus, this equation has an Infinite number of solutions.

Hence, the correct answer would be an option (C).

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Answer:

Step-by-step explanation:Sometimes, it is necessary to multiply an inequality by a negative number in order to solve the inequality. Compared to multiplying inequalities by positive numbers, there's one extra step. It's called flipping the inequality sign. Let's see what exactly this looks like.

Answer:

So 61.5 inches I'm guessing in feet would be 5.125 feet. You just divide 61.5 by 12 to get your answer.

Step-by-step explanation:

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

Work Shown:

Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.

The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).

Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180

z+z+56 = 180

2z+56 = 180

2z = 180-56

2z = 124

z = 124/2

z = 62

Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)

We'll use the same trick as before.

(x+z)+(x+z)+(y) = 180

(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28

2x+152 = 180

2x = 180-152

2x = 28

x = 28/2

x = 14

The hardener needed for 600 g of carbon fiber is 85.04 g.

We are given that the ratio of the composite is 40 % matrix to 60 % fiber.

This can be written as:

Matrix : fiber = 40 % : 60 %

Matrix : fiber = 40 : 60

Matrix : fiber = 2 : 3

Now, we know that the carbon fiber = 600 g

Matrix : 600 g = 2 : 3

Matrix / 600 = 2 / 3

Matrix = 1200 / 3 g

Matrix = 400 g

Also, we are given that the ratio of the matrix is 100 parts resin to 27 parts of hardener.

This means that:

Hardener = 27 / 127 of matrix.

Hardener = 27 / 127 × ( 400 g )

Hardener = 85.04 g

Therefore, the hardener needed for 600 g of carbon fiber is 85.04 g.

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One can buy 7 inches of wire for 35 cents.

In both the British imperial and American customary systems of measurement, the inch serves as a unit of length.

A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value.

The cost of 13 inches of wire is 65 cents.

Using the unitary method,

65 cents = 13 inches of wire

1 cents = ( 13 / 65 ) inches of wire

Now, multiplying 35 on both sides of the equation we get:

35 × 1 cents = ( 13/ 65) × 35 inches of wire

35 cents = ( 455 / 65 ) inches of wire

35 cents = 7 inches of wire

Hence, 7 inches of wire can be bought for 35 cents.

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Answer:

76.3 degrees

Step-by-step explanation:

We use inverse cosine to find the angle.

arccos(1.9/8) = 76.26 deg

Answer:

x = 30°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

53° + 97° + x° = 180°

Step 2: Solve for x

The Constant Growth Rate of plant is a 1.6 cm per day.

According to the statement

We have to find that the constant rate at which the plants grow.

So, For this purpose, we know that the

Constant rate (g) is employed to seek out present value of stock within the share which depends on current dividend, expected growth and required return rate of interest by investors.

From the given information:

The grass in jamie's yard grew 16 centimeters in 10 days.

Then

Proportion states that two ratios or fractions are equal

The grass in Jamie yard grew 16 centimeters in 10 days. it growing at a relentless rate.

The constant rate = 16/10

The constant rate = 1.6 cm

So, The Constant Growth Rate of plant is a 1.6 cm per day.

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Answer: 322.50

Step-by-step explanation:

45 * 6.5 = 292.5

292.5 + 30 = 322.5

Answer:

Cost of haircut = $93

Cost of colouring hair = $31

Step-by-step explanation:

Let

Cost of haircut = x

Cost of colouring hair = y

The equations

x + 2y = 217 (1)

2x + y = 155 (2)

From (1)

x = 217 - 2y

Substitute x = 217 - 2y into (2)

2x + y = 155

2(217 - 2y) + y = 155

434 - 4y + y = 155

-3y = 155 - 434

-3y = -279

y = -279 / -3

= 93

y = $93

Substitute y = 93 into (1)

x + 2y = 217

x + 2(93) = 217

x + 186 = 217

x = 217 - 186

= 31

x = $31

Cost of haircut = $93

Cost of colouring hair = $31

Answer:

ggggggggggggggggggggg

Step-by-step explanation:

ggggggggggggggggggggggggg

Answer:

area =s×s

=7n×7n

=49n^2

Answer:

.................................

Step-by-step explanation:

Answer:

It would be none of the above. The factors would be (2x+11)(4x^2-22x+121).

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

f(g(13))=

f(16)=32

**The diagram is the only reference to solving  f(g(13)). f(x) or g(x) isn't provided for you, so just use the diagram.

Answer:

the solution is going to be (-6, 2)

Answer:

B and D

Step-by-step explanation:

Answer:

c + p = 32

5c + 10p = 210

Step-by-step explanation:

Given that :

Cost of popcorn per bag = $10

Cost of. Cookies per box = $5

Total items sold = 32

Total.amout made = $210

Let number of cookies = c ; number of popcorn = p

c + p = 32

5c + 10p = 210

c = 32 - p

5(32 - p) + 10p = 210

160 - 5p + 10p = 210

5p = 50

p = 10

c = 32 - p

c = 32 - 10

c = 22

Answer:

61/82

Step-by-step explanation:

The answer is already reduced.

Answer:

61/82 its as low as possible

Step-by-step explanation:

I got it right

Answer:

36

Step-by-step explanation:

I'm assuming the expression we're solving here is -9(a-6).

-9(2-6)

(-9*2)-(-9*6)

(-18)-(-54)

Simplify.

-18+54

It equals 36.

Hope this helps.

Answer:

Basketball

^^

Step-by-step explanation:

10 x 6 = 60 (there are 60 seconds in a minute)

25 x 6 = 150

jogging = 150

basketball = 160

^^

Hope this helped!! <3