Answer:
c'( 7,-8) , T < -3 , -5 > 0r
180
Step-by-step explanation:
hope this helps
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Answer:
see below
Step-by-step explanation:
x=y+3
Subtract 3 from each side
x-3 = y
y = x-3
y=-4x-3
We have both equations in slope intercept form
y = mx +b where m is the slope and b is the y intercept
graph is below
They both have the same y intercept so they intersect at (0,-3)
Substitution
x=y+3
y=-4x-3
Substitute the second equation into the first equation
x=y+3
x = -4x-3 +3
x = -4x
Add 4x to each side
5x =0
x=0
y = -4x-3
y = 0-3
y = -3
(0,-3)
Additon
x=y+3
Subtract y from each side
x-y = 3
y=-4x-3
Add 4x to each side
4x+y =-3
Add the equations together to eliminate y
x-y = 3
4x+y =-3
-----------------
5x +0y =0
5x = 0
x=0
Now solve for y
y = -4x-3
y = 0-3
y = -3
(0,-3)
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Answer:
the best choice for the sequence is +3
Step-by-step explanation:
