Answer:
x = - 1, y = 6
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
y = 6x + 12 → (2)
Substitute y = 6x + 12 into (1)
6x + 12 = - 2x + 4 ( add 2x to both sides )
8x + 12 = 4 ( subtract 12 from both sides )
8x = - 8 ( divide both sides by 8 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 6(- 1) + 12 = - 6 + 12 = 6
Solution is (- 1, 6 )
Answer: the base is 28 inches. The altitude is 9 inches
Step-by-step explanation:
Let h represent the altitude of the sign.
Let b represent the length if the base of the sign.
The warning sign is triangular in shape.
The formula for determining the area of a triangle is expressed as
Area = 1/2bh
The base of the sign is 9 inches longer than the altitude. This means that
b = h + 9
If the area of the sign is 266 square inches, it means that
266 = 1/2 × h(h + 9)
266 × 2 = h(h + 9)
532 = h² + 9h
h² + 9h - 532 = 0
h² + 28h - 19h - 532 = 0
h(h + 28) - 19(h + 28) = 0
h(h + 28) - 19(h + 28) = 0
(h + 28)(h - 19) = 0
h = 19 or h = - 28
Since the height cannot be negative, then h = 19
b = h + 9 = 10 + 9
b = 28
Answer:14
Step-by-step explanation:
7*2=14
it helps you because you can divide the bottom to the top or vice versa or you can divide x and y
The units of the first number are "dollars." The second number has no apparent units, so we'll consider it a "pure number". This means the product will have the units of "dollars."
The two numbers together have 2+1=3 digits to the right of the decimal point(s). This means the final product will have 3 digits to the right of the decimal point. Since one of the factors is "dollars," it seems likely the result will need to be rounded to cents (2 decimal places). We'll provide the answer both ways (with 3 and with 2 decimal places.)
With these preliminaries out of the way, we have the problem of multiplying
... 79 × 37
There are numerous methods taught for finding this product. In the end, they all amount to multiplying every digit in one number by every digit in the other number and adding the results with appropriate place values. Several methods use 2-dimensional tables or arrays in their process. Here, we will use text on a line.
... 79 × 37 = (70 +9) × (30 +7)
... = 70×30 + 9×30 + 70×7 + 9×7
... = 2100 + 270 +490 + 63
... = 2100 +760 +63
... = 2860 +63
... = 2923
Putting the decimal point 3 places from the right, and adding the dollar sign gives our product:
... $0.79 × 3.7 = $2.923 ≈ $2.92
