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nikitadnepr [17]
3 years ago
7

Write the equation of a line that is horizontal and contains the point (-4, 1)

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

y = 1

Step-by-step explanation:

The slope of a horizontal line is 0 which leaves you with only the y-intercept

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The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, co
zaharov [31]

Answer:

The mean number of the children is 1.2

<em></em>

Step-by-step explanation:

Given

Children: 0, 1, 2, 1, 2

Required

Determine the Mean number

The mean of a set is calculated as follows;

Mean = \frac{\sum x}{n}

Where x is the given set and n is the number of sets

In this case, n = 5 children

Hence;

Mean = \frac{0 + 1 + 2 + 1 + 2}{5}

Mean = \frac{6}{5}

Mean = 1.2

<em>Hence, the mean number of the children is 1.2</em>

3 0
3 years ago
Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84in
Serga [27]

Answer: the length of Maria's piece of string is 45 inches.

the length of Katy's piece of string is 39 inches

Step-by-step explanation:

Let x represent the length of Maria's piece of string.

Let y represent the length of Katy's piece of string.

When they put the two pieces of string together end to end, the total length is 84inches. This means that

x + y = 84 - - - - - - - - - - - -1

Maria's string is 6 inches longer than Katy's. This means that

x = y + 6

Substituting x = y + 6 into equation 1, it becomes

y + 6 + y = 84

2y + 6 = 84

2y = 84 - 6 = 78

y = 78/2 = 39

x = y + 6 = 39 + 6

x = 45

8 0
3 years ago
The point (1,5) lies in quadrant II of a rectangular coordinate system​
natali 33 [55]

Answer:

No

Step-by-step explanation:

Complex answer: For a point to be in quadrant II, it must have a negative x value and a positive y value.

Simple answer: The 1 would have to be negative to be in quadrant II, and it isn't

6 0
3 years ago
Are these ratios equivalent?
masya89 [10]

Answer:

A, yes.

Step-by-step explanation:

63:60, 21:20:

The difference between 60 and 20 is *3. If you do that to 21, you get 63. So a , yes.

3 0
3 years ago
Determine the most specific name for the figure in the diagram.
Makovka662 [10]
<span>ABCD is a parallelogram. Looking at the quadrilateral ABCD, the first thing to do is to determine if the opposite sides are parallel to each other. So let's check that by looking at the opposite sides. Line segment BA. When you go from point B to point A, you move to the right 1 space, and down 4 spaces. So the slope is -4. Looking at line segment CD, you also move to the right 1 space and down 4 spaces, which also means a slope of -4. So those two sides are parallel. When you compare line segments BC and AD, you'll notice that for both of them, you go to the right 5 spaces and up 2 spaces, so those too are parallel. So we can now saw that the quadrilateral ABCD is a parallelogram. Since ABCD is a parallelogram, we now need to check if it's a rectangle (we know it can't be a square since the sides aren't all the same length). An easy way to test if it's a rectangle is to check of one of the angles is 90 degrees. And if we draw a line from B to D, we can create a triangle ABD. And in a right triangle, due to Pythagora's theorem we know that A^2 + B^2 = C^2 where A is the line segment AB, B is the line segment AD and C is the line segment BD. So let's calculate A^2, B^2, and C^2. A^2: Line segment AB. We can construct a right triangle with A = 1 and B = 4. So C^2 = 1^2 + 4^2 = 1 + 16 = 17. So we have an A^2 value of 17 B^2: Line segment AD. We can construct a right triangle with A = 2 and B = 5. So C^2 = 2^2 + 5^2 = 4 + 25 = 29. So we have an B^2 value of 29 C^2: Line segment BD. We can construct a right triangle with A = 2 and B = 6. So C^2 = 2^2 + 6^2 = 4 + 36 = 40. So we have a C^2 value of 40. Now let's check if the equation A^2 + B^2 = C^2 is correct: 17 + 29 = 40 46 = 40 And since 46 isn't equal to 40, that means that ABCD can not be a rectangle. So it's just a parallelogram.</span>
6 0
3 years ago
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