Draw the graphs of the lines below on the same grid to find the coordinates of the point of
1 answer:
Answer:
(2,2) is the solution of the given lines.
Step-by-step explanation:
Given that,
y = x ..(1)
y = 3x-4 ...(2)
We need to find the coordinates of the point of intersection.
From equation (1) and (2).
x=3x-4
4 = 3x-x
4 = 2x
x = 2
Also,
y = 2
<h3>Hence, the coordinates of the point of intersection is (2,2).</h3>
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Answer:
$4100
Step-by-step explanation:
To find the total amount of money, the formula is: principle money × interest rate + 100% × amount of time.
Total amount of money = 1000.00 × × 4
= 1000.00 × × 4
= $4100
If you want to find the interest earned, just deduct the principle amount from the total.
The surface area of the larger solid, rounded to the nearest hundredth is given by: Option B:
Volume of a solid is usually expressed in cubic units, or units cube.
Suppose that the volume was expressed in x cubic units. Then you can say that the considered solid takes same space as the volume occupied by x cubes of 1 unit as their side lengths.
<h3>What are similar objects?</h3>They're like zoomed version of each other(might be non-zoomed, zoomed in, or zoomed out). Their sides can be obtained by multiplying one object's sides by a single constant(by single constant, we mean constant which will be same for obtaining any corresponding side).
For the given case, we're given that:
- Volume of first solid = 729 cubic inches.
- Volume of second solid = 125 cubic inches.
Both solids are similar.
Thus, let the scale factor by which their sides change be 'f'.
Then, we get:
- Side of first solid = f × side of second solid
- Surface area of first solid(a square piece chosen on its surface) = f × f × surface area of second solid
(as two times sides multiplied, so two times f got multiplied).
Similarly,
- volume of first solid = f × f × f × volume of second solid.
Or
As surface area of smaller solid(second solid is smaller as its volume is less) is 74.32 sq. inches, and f = 1.8, thus, we get:
Thus, the surface area of the larger solid, rounded to the nearest hundredth is given by: Option B:
Learn more about volume and surface area here:
I saw the image that accompanied this problem.
4 identical isosceles trapezoid forming 2 parallelogram.
1 parallelogram has a base of 16 inches and its height is 10 inches.
We need to get the area of the parallelogram and multiply it by 2 before dividing it into 4 to get the area of each isosceles trapezoid.
Area of a parallelogram = base * height
A = 16 in x 10 in = 160 in²
160 in² x 2 parallelogram = 320 in²
320 in² / 4 tiles = 80 in²
The area of one tile is 80 square inches.
4 identical isosceles trapezoid forming 2 parallelogram.
1 parallelogram has a base of 16 inches and its height is 10 inches.
We need to get the area of the parallelogram and multiply it by 2 before dividing it into 4 to get the area of each isosceles trapezoid.
Area of a parallelogram = base * height
A = 16 in x 10 in = 160 in²
160 in² x 2 parallelogram = 320 in²
320 in² / 4 tiles = 80 in²
The area of one tile is 80 square inches.