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3 years ago

Which equation in point-slope form contains the points (2, 6) and (–1, 3)?

2 answers:

8 0

Using the formula for lines y=mx+b
To find out the gradient of the line, we do (y2-y1)/(x2-x1).
(3-6)/(-1-2)= -3/-3= 1 is the slope of the line
So far, y=(1)x+b
Now substitute one of your given coordinates into this equation:
6=2+b
b=4
Therefore, the equation of the line is y=x+4

Alexxx [7]3 years ago

7 0

Answer:

y-6=1(x-2)

Step-by-step explanation:

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Can someone do #1 and #2 I don't really get the answer. My teacher hasn't explain anything. He just gave us the paper and we got

Elenna [48]

1) f(x) + g(x)

= 7√x + 4 + 2√x - 2

= √x(7 + 2) + 2

= 9√x + 2 [ Final Answer ]

2) f(x) - g(x)

= 7√x + 4 - (2√x - 2)

= 7√x + 4 - 2√x + 2

= √x(7 - 2) + 6

= 5√x + 6 [ Final Answer ]

Hope this helps!

5 0

3 years ago

the volume of a large can of tuna fish can be calculated by using the formula V= *pi*r^2h. write an equation to find the radius,

Svet_ta [14]

V= pi x r^2 x h

V/(pi x h)=r^2

square root of [V/(pixh)]=r

4 0

3 years ago

Read 2 more answers

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

If m=8, how many solutions are there for the expression m-8?

ss7ja [257]

Answer:

1 solution, 0

Step-by-step explanation:

In algebra, a variable can be equal to any amount of numbers depending on how it is used. In this case, m is only equal to the one value of 8, and therefore only has <u>one solution.</u>

m - 8

(8) - 8

5 0

3 years ago

Type the expressions as radicals.<br> Y^5/2

Lapatulllka [165]

Answer:

it will be square root y^5

Step-by-step explanation: Apply the rule x m/n=n√x m to rewrite the exponentiation as a radical.

7 0

2 years ago