System: x + y = 44; x = 2y + 2
Solve with substitution: x = 30; y = 14
x + y = 44
x = 2y + 2
Substitute 2y + 2 for x
2y + 2 + y = 44
3y + 2 = 44
Subtract 2 on both sides.
3y = 42
y = 14
Now substitute back in.
x + 14 = 44
Subtract 14 on both sides.
x = 30
Answer:
x ≥4
Step-by-step explanation:
-4(8-3x) ≥6x-8
Distribute
-32+12x ≥6x-8
Subtract 6x from each side
-32+12x-6x ≥6x-6x-8
-32+6x ≥-8
Add 32 from each side
-32+32 +6x ≥-8+32
6x ≥ 24
Divide each side by 6
6x/6 ≥24/6
x ≥4
Answer:
Answer
2x+3y=14,2x−3y=2
Adding :
2x+3y=14
2x−3y=2
__________
4x=16
x=4
∴xy=4×2
=8
2×4+3y=14
8+3y=14
3y=6
y=2
Step-by-step explanation:
here you go
Answer:
The <u>distance</u> <em>between</em> the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
We are defined our two points as:
- (x₁, y₁) → (1, -7)
- (x₂, y₂) → (7, 0)
We can rewrite this into our different "variables":
- x₁ = 1
- y₁ = -7
- x₂ = 7
- y₂ = 0
Now given our distance formula and our variables, we can find the distance between the two points:
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!
The ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
Area of a rectangle
The formula for calculating the area of a rectangle is expressed as:
A = length * width
For the large triangle
Area = 16 * 12
Area of large triangle = 192 square units
For the smaller rectangle
Area = 4 * 3
Area. of small rectangle = 12 square units
Ratio = 12/192 = 1:16
Hence the ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
Learn more on area of rectangle here: brainly.com/question/25292087
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