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n200080 [17]
3 years ago
8

1.     Emily filled an empty horse trough with water. The water level, in centimeters, is proportional to time elapsed, in minut

es, since she began filling the trough. The graph shows this relationship. (a)   What rate does the point 8,28  represent? Explain. (b)   What is the unit rate for the situation in terms of centimeters/minute? Explain. (c)   Explain how the points 8,28 and 6,21 show that the water level varies directly with the time elapsed.

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0
(a) The rate that the point 8,28 represents is 3.5 cm/s since 28/8 = 3.5
(b) The unit rate is 3.5 cm/s since the rate is constant.
(c) The two points lie on the same line and that both points results to a rate of 3.5 cm/s.<span />
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She can make 6 bracelets using 12 orange beads and 13 blue beads.

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The table lists several points that form a line on a coordinate plane.
omeli [17]

Answer:

Slope is 1/4 (0.25) while y-intercept is 5

Step-by-step explanation:

Here, we are interested in getting the y intercept and slope of the line joining the given points.

We can get the slope by using any two points

Let’s say (4,6) and (12,8)

Mathematically; slope

= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25

To get the y-intercept, we proceed

kindly recall that the equation of a straight line is;

y = mx + c

where m is the slope and c is the y-intercept

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6 0
3 years ago
Classify the following triangle
larisa86 [58]

Answer:

A. Right Triangle

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4 0
3 years ago
What are the four points of intersection between 4x^2 + y^2 - 4y - 32 = 0 and x^2 - y - 7 = 0 ? Solve algebraically
tensa zangetsu [6.8K]
Remember (a²-b²)=(a-b)(a+b)

solve for  a single variable
solve for y in 2nd

add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton

4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero

x-3=0
x=3

x+3=0
x=-3

x-√5=0
x=√5

x+√5=0
x=-√5


sub back to find y

(x²-7)=y

for x=3
9-7=2
(3,2)

for x=-3
9-7=2
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for √5
5-7=-2
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for -√5
5-7=-2
(-√5,-2)


the intersection points are

(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
8 0
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