Answer:
The solution is the point (0.5,-3)
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A
Solve for x
Adds 5 both sides
Divide by 4 both sides
therefore
The solution is the point (0.5,-3)
<em>Verify your answer using the graph</em>
using a graphing tool
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is (0.5,-3)
therefore
The solution is the point (0.5,-3)
see the attached figure
Answer:
= 32.440
Step-by-step explanation:
Change the divisor 12.5 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
4055 ÷ 125 = 32.440
and therefore:
405.5 ÷ 12.5 = 32.440
Both calculated to 3 decimal places.
The standard equation of an ellipse is:
(x-h)²/a² + (y-k)²/b² = 1
Since the center at the origin, then h = k = 0
The height of this ellipse = 8 units and the width = 4 units, that means the major axis is b (=8) and the minor axis is a (=4)
Then the equation becomes:
x²/16 + y²/64 = 1
Answer: 27 and 18
Step-by-step explanation:
x - y = 9 → x = 9 + y
3y = 2x
3y = 2(9 + y)
3y = 18 + 2y
3y - 2y = 18
y = 18
2x = 3(18)
2x = 54
x = 27
x - y = 9
27 - 18 = 9
9 = 9
Answer:
1)P = 2 x(L+l) = 2 x (25+L)
2) Maintaing L= 25 cm
P= 2x (25+45) = 140 cm²
P= 2x (25+0,25m) =2x(25+25)= 100 cm²
P= 2x (25+650 mm) =2x(25+65)= 180 cm²
d) ambigous
P= 2x (25+3dm) = 2x (25+30)=110 cm²
Step-by-step explanation:
