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katen-ka-za [31]
3 years ago
10

Type the correct answer in the box. Use numerals instead of words.

Mathematics
2 answers:
Art [367]3 years ago
8 0

Answer: The y-intercept of the line is 6

Step-by-step explanation:

The equation of the line in the form y = mx + b is called "Slope-Intercept form", where "m" is the slope of the line and "b" is the y-intercept.

Knowing that the line passes through the point (10,1) and has a slope of -0.5, we can identify that:

x=10\\y=1\\m=-0.5

Then, we can substitute values into the equation  y = mx + b and solve for "b".

1=(-0.5)(10)+b\\\\1=-5+b\\\\1+5=b\\\\b=6

Therefore, the y-intercept of the line is 6 .

Karo-lina-s [1.5K]3 years ago
7 0

Answer:

6

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

y=-0.5x+b

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6

and the equation of the line is

y=-0.5x+6

Since b=6, the y-intercept of the line is 6.

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trasher [3.6K]

Answer:

Total area = 31.5 unit²

Step-by-step explanation:

Assume 1 block = 1 unit²

Divide diagram into 3 part

1. 5 by 5 block square

2. 2 by 2 block triangle(1)

2. 3 by 3 block triangle(2)

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Area of square = 25 unit²

Area of triangle(1) = [1/2][base][height]

Area of triangle(1) = [1/2][2][2]

Area of triangle(1) = 2 unit²

Area of triangle(2) = [1/2][base][height]

Area of triangle(2) = [1/2][3][3]

Area of triangle(2) = 4.5 unit²

Total area = Area of square + Area of triangle(1) +Area of triangle(2)

Total area = 25 unit² + 2 unit² + 4.5 unit²

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6 0
3 years ago
Elisa bought 5 bracelets for a total of $25.95. If the bracelets were the same cost, about how much did each bracelet cost?
Ad libitum [116K]

Answer:

$5.19

Step-by-step explanation:

All you do is divide $25.95 BY 5

7 0
3 years ago
Read 2 more answers
1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?
Bess [88]

Answer:

Step-by-step explanation:

1)  The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis.  Thus, the radius is 5.

2)  Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

                     (x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6.  The center is at (4, -3) and the radius is 6.

3)  Notice that A and B have the same x-coordinate, x = 15.  The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction.   Arbitrarily choose A(15, 4) as one point on the circle.  Then the equation of this circle is

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4 0
3 years ago
The cost of manufacturing lawn mowers is $12,320 in overhead costs and $396 per lawn mower in production costs. Marketing studie
ANEK [815]
Hello, your cost function will be 12,320+(x*396). Your revenue function will be (452x) and the profit function will be (452x)-12,320+(x*396). I hope this helps, have a good day.
6 0
3 years ago
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If f (1)= -2, then the point is on the graph of f
Komok [63]
<h3>Answer:  (1, -2)</h3>

Explanation:

Writing f(1) = -2 means x = 1 and y = f(x) = -2 pair up together

So we have (x,y) = (1, -2) as the point on the f(x) curve.

6 0
3 years ago
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