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DIA [1.3K]
3 years ago
15

Please help me out with this

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

6 in^2.

Step-by-step explanation:

The area of 2 similar figures are in the ratio of the squares of corresponding sides. So we have the equation:

3^2 / 6^2 = x / 24

9/36 = x /24

1 / 4 = x / 24

x =  24/4 = 6 in^2 (answer).

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Slope -1/4, passes through (12,-4)​
Kazeer [188]

Answer:

y = - \frac{1}{4} x - 1

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{4} , then

y = - \frac{1}{4} x + c ← is the partial equation

To find c substitute (12, - 4) into the partial equation

- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1

y = - \frac{1}{4} x - 1 ← equation of line

7 0
3 years ago
Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3​
cricket20 [7]

Answer:

y=\frac{5}{3}x+4\frac{2}{3}

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = \frac{5}{3}

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

3=\frac{5}{3}(-1)+b

3=-\frac{5}{3}+b

4\frac{2}{3}=b

Now that we know the values of b and m, we can write the equation:

y = \frac{5}{3}x+4\frac{2}{3}

4 0
2 years ago
If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?
Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

A=(4)(16)=64\ units^2

step 2

Find the length side of the square with the same area of rectangle

The area of a square is

A=b^2

where

b is the length side of the square

we have

A=64\ units^2

substitute

64=b^2

take the square root both sides

b=8\ units

therefore

The length side of the square is 8 units

7 0
3 years ago
Train A and train B leave the station at 2 pm. The graph below shows the distance covered by the two trains. Compare the two spe
jarptica [38.1K]

Both trains travel for 7 time units.

Train A travels 385 distance units, so its speed is

\dfrac{385}{7}=55

Train B travels 577.5 distance units, so its speed is

\dfrac{577.5}{7}=82.5

Note that the units are not specified, but considering that we're talking about trains, the graph is likely to be showing distance in km (or miles) and time in hours.

Also, the distance traveled by train B is not perfectly aligned with the grid, so I assumed that it was the average between the two ticks of 550 and 605.

7 0
3 years ago
Simplify the expression and identify which property is used in each step.
777dan777 [17]

Answer:

1.2

Step-by-step explanation:

(0.85 + 0.50 + 0.15) - 0.30           Given

Simplify by adding in the parentheses first

(0.85 + 0.50 + 0.15) - 0.30

(1.35 + 0.15) - 0.30

(1.5) - 0.30

Subtraction Property

1.5 - 0.30

1.2

7 0
2 years ago
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