What is the equation of a line that has a slope of 2 and passes through point (-1, 7)?

Answers

Answer 1

Answer:

Answer:

2x+9

Step-by-step explanation:

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Find the x-intercept and the y-intercept from the following linear equation: 4x + 8y = 64

Which expression is equivalent to 0.8a−2(b−0.3a)+b ?

Answers

1.4 a - b expression is equivalent to 0.8a−2(b−0.3a)+b.

Two teaspoons' worth of polyunsaturated fats should be consumed daily. A unit is equal to one measure of liquor or a glass of wine. It is certain that calls for similar pay increases will be heard. When a hiring manager refers to "comparable experience" in a job description, they may be referring to non-paid experience, such as an internship or volunteer work, in place of paid work experience.

0.8a - 2 (b - 0.3a) + b

Expand the expression.

0.8a - 2b - 2(-0.3a) + b

Determine the sign.

0.8a - 2b - 2*0.3a + b

Multiply the monomials.

0.8a - 2b +0.6a + b

Combine like terms.

1.4a - b

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Answer: 1.4a-b

Step-by-step explanation:

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm . which equation best models green light? a. y= sin pi/510 theta b. y= sin pi/255 theta c. y= sin 510/pi theta d. sin 255/pi theta

Answers

Answer:

$y=\sin((\pi \theta)/(255))$

B is correct.

Step-by-step explanation:

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm .

Equation of sine wave:

$y=\sin(ax)$

As we know the period of sine function is 2π

Period of this function $y=\sin(ax)$ is 2π/a

We are given the period of function is 510

Thus, $510=(2\pi)/(a)$

Now we will solve for a

$a=(2\pi)/(510)$

$a=(\pi)/(255)$

Required equation: $y=\sin((\pi \theta)/(255))$

Hence, The equation for best models green light is $y=\sin((\pi \theta)/(255))$

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm. The equation that best models green light is y= sin 510/pi theta. The answer is letter C.

You spin the spinner twice.9
What is the probability of landing on an 8 and then landing on a 9?
Write your answer as a fraction or whole number.
Submit

Answers

Answer:the Answer is 1/9

Step-by-step explanation:

What is the area of this triangle?

Answers

area of triangle is 1/2 times base times height
lets say the base is from x1,y2 to x1,y1 the distance is 6 units

1/2 times 6 times height
from x1,y1 to x3,y3 is 7 units to the right
1/2 times 6 times 7=3 itmes 7=21

area=21 square units or
21 units^2

The area of this triangle with three vertices (x₁, y₁) , (x₂, y₂) and (x₃, y₃) is,

A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]

We have to give that,

The three vertices of the triangle are,

(x₁, y₁) , (x₂, y₂) and (x₃, y₃)

Since a triangle is a three-sided polygon, which has three vertices and three angles it has the sum of 180 degrees.

Hence,

The area of this triangle with three vertices (x₁, y₁) , (x₂, y₂) and (x₃, y₃) is,

A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]

So, the Formula is,

A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]

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18 4/7 into an improper fraction

Answers

To find an improper fraction, you want to do 18* 7 which equals, 126, so then 126+4=130. So then 130/7 would be your answer.

Final answer:

The mixed number 18 4/7 can be converted to an improper fraction by first multiplying the whole number (18) by the denominator of the fraction (7), then adding the numerator of the fraction (4). This results in the improper fraction 130/7.

Explanation:

The problem is asking to convert the mixed number 18 4/7 into an improper fraction. A mixed number contains a whole number and a proper fraction combined. An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction, then add the numerator of the fraction.

So in the case of the mixed number 18 4/7, the calculation would be as follows: (18 * 7) + 4 = 130.

So, 18 4/7 as an improper fraction is 130/7.

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Natalie wants to buy a shirt that costs $24. It is on sale for 20% off the original price. How much does she pay for the shirt? $19.20 $21.60 $26.00 $28.80