What is the y-intercept of the function: f(x)=x+4

Answers

Answer 1

Answer: The answer for the y intercept is (0,4)

Answer 2

Answer: If you're plotting the value of f(x) on the y-axis,
then the graph crosses the y-axis at y=4.

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Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing

Answers

Final answer:

The mathematics problem involves a scale factor. The real-world schoolyard measurement of 52 meters gets scaled down by the scale factor of 4, resulting in a width of 13 centimeters for the schoolyard in Sophia's scale drawing.

Explanation:

The aspect of this question is a scale factor which is a concept in mathematics, used in geometry and real-world utilizations such as maps and scale drawings. In this case, Sophia used a scale of 1 centimeter to 4 meters for her drawing.

To determine the width of the schoolyard in the drawing, we apply the scale. If 1 centimeter corresponds to 4 meters, we divide the real width of the schoolyard, 52 meters, by the scale factor of 4

This calculation (52 / 4) results in 13. Thus, the schoolyard would measure 13 centimeters wide in Sophia's scale drawing.

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Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m Divide by 4

13 cm : 52 m

5 times what number will be negative 7?

Answers

Answer:

-1.4

Step-by-step explanation:

5*X = - 7

5x= - 7

X= - 7/5

X= - 1.4

5x = -7
Divide both sides by 5.
X = -7/5 or -1.4

HELP QUICK PLEASE !!!If a is a rational number and b is a rational number, then the product ab must be?
A) rational.
B) imaginary.
C) an integer.
D) irrational.

Answers

The product of two rational numbers is another rational number.

The product of one irrational number and any other number is
irrational, even if the other one is rational.

The product of any two real numbers is never imaginary,
whether either or both of them is rational or irrational.

The product of two numbers is sometimes an integer
and sometimes not an integer.

the answer is A)a rational number
hope it helps~

A container is shaped like a rectangular solid with sides of 3 inches, 3 inches, and 11 inches. What is its approximate capacity, if 1 gallon equals 231 cubic inches?

Answers

It would be about 4/10 of a gallon

I need help for this homework

Answers

The exact value of cos(x - y) is 416/425.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It explores the properties of trigonometric functions, such as sine, cosine, and tangent, which are used to measure and calculate angles, lengths, and distances in triangles and other geometric shapes.

We can begin by using the trigonometric identity:

cos(x - y) = cosx cosy + sinx siny

We are given that sinx = 8/17 and tany = 7/24. We can use these to find cosx and cosy.

From sinx = 8/17, we know that:

$cosx = √((1 - sin^2x)) = √((1 - (8/17)^2)) = √((225/289)) = 15/17$

From tany = 7/24, we know that:

$cosy = 1/√((1 + tan^2y)) = 1/√((1 + (7/24)^2)) = 24/25$

Now we can substitute these values into the equation for cos(x - y):

cos(x - y) = cosx cosy + sinx siny

= (15/17)(24/25) + (8/17)(7/24)

= 360/425 + 56/425

= 416/425

Therefore, the exact value of cos(x - y) is 416/425.

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The perimeter of a rectangle is 360m. If its length is decresed by 20 % and its breadth is increased by 25% we get the same perimeter . Find the dimention of the rectangel

Answers

Answer: the length of the rectangle is 100m and the breadth is 80m

Step-by-step explanation:

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + breadth)

Let the length of the initial rectangle be and the breadth of the initial rectangle be b

The perimeter of a rectangle is 360m. Therefore,

2(l + b) = 360

l + b = 180

If its length is decreased by 20 %, the new length would be l - 0.2l = 0.8l

its breadth is increased by 25%, the new breadth would be b + 0.25b = 1.25b

we get the same perimeter. Therefore

2(0.8l + 1.25b) = 360

0.8l + 1.25b = 180 - - - - - - - 1

Substituting l = 180 - b into equation 1,it becomes

0.8(180 - b) + 1.25b = 180

144 - 0.8b + 1.25b = 180

- 0.8b + 1.25b = 180 - 144

0.45b = 36

b = 36/0.45 = 80

Substituting b = 80 into l = 180 - b, it becomes

l = 180 - 80 = 100

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