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3 years ago

11

What is the solution to the system of equations graphed below?

2 answers:

MA_775_DIABLO [31]3 years ago

5 0

B because that is where they intersect

kotegsom [21]3 years ago

3 0

Answer:

(x, y) = (- 2, 0 )

Step-by-step explanation:

given a system of equations in graphical form

The solution is the point of intersection of the 2 lines

in this case the solution is (- 2, 0 )

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Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

4 0

3 years ago

If JL=18. Then which statement is true?

kondor19780726 [428]

Answer:

JK = 18 also

Step-by-step explanation:

3 0

2 years ago

What is represented by p v q?

Stella [2.4K]

$\lor$ is the logical or/disjunction symbol. $p\lor q$ means " $p$ or $q$ ". Disjunction is commutative, which means $p\lor q$ is equivalent to $q\lor p$ .

So if $p$ represents $x$ and $q$ represents $x>3$ , then $p\lor q\equiv q\lor p$ means $x>3$ or $x$ .

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3 years ago

What if Scott bought 3 more stamps and now has 21 stamps? Some album pages have 1 stamp and some pages have 2 stamps. Show how m

Gnesinka [82]

So there are 8 different ways.

6 0

2 years ago

Read 2 more answers

Will mark brainliest

Anna007 [38]

Answer: $x\leq 3$

PLEASE MARK ME BRAINLIEST

Step-by-step explanation:

1) Simplify both sides of the inequality:

$4x+8\geq 5x+5$

2) Subtract $5x$ from both sides:

$4x+8-5x\geq 5x+5-5x$

3) Simplify:

$-x+8\geq 5$

4) Subtract $8$ from both sides:

$-x+8-8\geq 5-8$

5) Simplify:

$-x\geq -3$

6) Divide both sides by $-1$ :

$\frac{-x}{-1} =\frac{-3}{-1}$

7) Simplify:

$x\leq -3$

5 0

2 years ago

Read 2 more answers