2 years ago

In the figure below, if sin x=5/13, what are cos x and tan x

Mathematics

1 answer:

Afina-wow [57]2 years ago

4 0

Please show the figure

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vlabodo [156]

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3 years ago

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Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

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2 years ago

Determine whether the triangles are congruent. Explain your reasoning .

lapo4ka [179]

Yes because of ASA
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3 years ago

What does 4.57x0.08

jeka57 [31]

Answer:

0.3656 :)

Step-by-step explanation:

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3 years ago

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What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3

PtichkaEL [24]

Answer:

Step-by-step explanation:

First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.

Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:

y = 2x + -3. or y = 2x - 3.

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2 years ago