Answer:
1st Triangle
Step-by-step explanation:
Answer:
Quotient: x^4+7x^3-2x^2-9x-3
Remainder: -10
Step-by-step explanation:
x5 + 15x+ + 54x3 – 25x2– 75x – 34 by x + 8.
Since the exponents are arranged in descending order so, 15x^4
x^5 + 15x^4+ + 54x^3 – 25x^2– 75x – 34 by x + 8
The division is shown in figure attached.
Quotient: x^4+7x^3-2x^2-9x-3
Remainder: -10
Answer:
- 978.6 gallons per hour
Step-by-step explanation:
Given that :
Change in gasoline (gallon) : 58,432.4 gal to 56,475.2 gal
Time during which change occurred : 2:00 pm to 4:00 pm
Average change per hour : [Change in gallon of gasoline / time interval (hour)]
Change in gallon of gasoline = (56,475.2 - 58,432.4) = - 1957.2 gallons
Time interval = 4:00 pm - 2:00 pm = 2 hours
Hence, Average change per hour :
-1957.2 / 2
= - 978.6 gallons per hour
Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:length=20/4=5 cmthe ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:AC=4x and BD=3xusing Pythagorean theorem, the length of one side of the rhombus will be:c^2=a^2+b^2substituting our values we get:5²=(2x)²+(1.5x)²25=4x²+2.25x²25=6.25x²x²=4x=2hence the length of the diagonals will be:AC=4x=4×2=8 cmBD=3x=3×2=6 cmHence the area of the rhombus wll be:Area=1/2(AC×BD)=1/2×8×6=24 cm^2
Answer:
Sweetie, it's easy. Let me explain.
The slope formula is (y2 - y1) (x2 - x1) you find the slope by putting the rise over the run. For example, if the point goes up 2 and right 3 your slope would be (2,3) and let's just say your next coordinate is (4,5) you would take the y, 5, from the second coordinate and subtract it by the y from the first coordinate, 3. So you would have 2 and you do the same with the x values. So your slope would be 3/2. Hope I helped at all.
Step-by-step explanation: