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Mrac [35]
3 years ago
6

A line, y = mx +b, passes through the point (2,3) and is parallel to y = 2x + 3. What is the value of

Mathematics
1 answer:
diamong [38]3 years ago
4 0

Answer:

The value of b is 3

Step-by-step explanation:

mx is the slope and b is the y intercept. I hope this helps!

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Your answer would be D. The angle C is 47 degrees.
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3 years ago
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What is the area of this trapezoid?
Ivanshal [37]

Answer: 357 cm²

Step-by-step explanation: In this problem, were asked to find the area of the trapezoid shown. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is shown below

The b's are the bases or the parallel sides and the h represents the height.

So in the trapezoid shown, the bases are 15 cm and 27 cm and the height is 17 cm.

Plugging this information into the formula, we have .

Next, the order of operations tells us that we must simplify inside the parentheses first. 15 cm + 27 cm is 42 cm and we have

1/2 × 42 cm is 21 cm and we have (21 cm)(17 cm) which is 357 cm².

So the area of the trapezoid shown is 357 cm².

5 0
3 years ago
Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s
timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

y = 2x + 5 --- equation

y = 5 --- y intercept

m = 2 --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

(x_1,y_1) = (15,35)

(x_2,y_2) = (0,5)

The slope (m) is:

m = \frac{y_2 -y_1}{x_2 - x_1}

m = \frac{5-35}{0-15}

m = \frac{-30}{-15}

m = 2

So, the line of best fit is:

y = m(x - x_1) + y_1

Substitute known values:

y = 2(x - 0) + 5

y = 2(x) + 5

y = 2x + 5

The y-intercept is when x=0

So, we have:

y = 2*0 + 5

y = 0 + 5

y = 5

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3 years ago
He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank
FinnZ [79.3K]

Answer:

Step-by-step explanation:

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3 years ago
What is the answer to this equation -7 c + 2 = 16?
Lelechka [254]

Answer:

c=-2

Step-by-step explanation:

Equation: -7c+2=16

-7c=16-2

-7c=14

c=14/-7

c=-2

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