Solve for (y)(x) x-y=1 1/2x+y=5

2 answers:

7 0

Add them equations to cacncel y

x-y=1
1/2x+y=5 +
3/2x+0y=6

3/2x=6
times 2/3 both sides
x=4

sub back
x-y=1
4-y=1
-y=-3
y=3

x=4
y=3

the orderd pair for the intersection would be (4,3)
(y)(x)=(3)(4)=12

TEA [102]3 years ago

6 0

Using addition

x-y+1/2x+y=1+5
x+1/2x+0y=6
3/2x=6
$\frac{3}{2}x=6$
3x=12
x=4

Using the value of x
x-y=1
4-y=1
y=3

With x as 4 and y as 3, their product is 12
And can be written as (4,3)

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Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

Cot is the trigonometric ratio defined by "adjacent" over "opposite". So, adjacent = 2 and opposite = 3.

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$

First answer choice is right.

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

By definition tan and cot are inverse of each other. So the value of tan is the reciprocal of the value of cot. We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$