Answer:
<u><em>x = 37/45</em></u>
Step-by-step explanation:
Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B
Ok, so these 2 triangles are similar, so we can set up a butterfly equation:
Side 1a would be 8x
Side 1b would be 5x +3
Side 2a would be 10x - 2
Side 2b would be 7x
----------------------------------------------------
Our equation would be
8x/(5x+3) = (10x-2)/7x
We cross multiply to get 8x(10x-2) = 7x(5x+3)
Instead of solving and getting squares, we can x on both sides and we get:
8(10x - 2) = 7(5x+3) ----> we simplify to get
80x - 16 = 35x + 21 ----> it's easy sailing from here.
45x = 37
<u><em>x = 37/45</em></u>
<u><em>gosh i hope it's right...</em></u>
Answer:
B
Step-by-step explanation:
By inspection we can see that the slope of the line is m = 2/5; as x increases by 5, y increases by 2. Next, also by inspection, we see that the y-intercept is (0, 3/2). Using the slope-intercept formula y = mx + b, we get y = (2/5)x - 3/2.
Let's take a look at Answer B: If we divide all three terms by 2, we get:
(2/5)x - y > 3/2. This matches the equation found earlier, y = (2/5)x - 3/2 if we rewrite (2/5)x - y > 3/2 as (2/5)x - 3/2 > y.
Thus, all points that satisfy this inequality are BELOW the y = (2/5)x - 3/2,
Answer B is the correct one.
uhhhh the answer is -9 I think
Answer:
Step-by-step explanation:
P(AUB)=P(A)+P(B)+P(A∧B),P(A∧B)=0 as both the events are independent.
P(AUB)=1/2+1/3=(3+2)/6=5/6
Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
