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4 years ago

Which of the equation of the line with slope 3 that contains point (-1,5)

Mathematics

1 answer:

SpyIntel [72]4 years ago

3 0

The point-slope form:

$y-y_1=m(x-x_1)$

We have the slope m = 3 and the point (-1, 5). Substitute:

$y-5=3(x-(-1))$

$\boxed{y-5=3(x+1)}$ use distributive property

$y-5=3x+3$ add 5 to both sides

$\boxed{y=3x+8}$ - slope-intercept form

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Find all the square roots of x^2 ≡ 53 (mod 77) by hand. This is my second post. Please explain all the steps how you did this?

sasho [114]

Answer:

Step-by-step explanation:

Given that

$x^2 ≡ 53 (mod 77)$

Right side has values as

53, 53+77, 53+2(77),+....

We have to find one which is a perfect square.

We have from this series 361 is 19 square

Thus $x =19.$

Next is $x^2=900\\x=30$

$x^2=2209\\x=47$ and so on.

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3 years ago

A parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation y - k = a(x - h)2. Determine the vertex

Inessa05 [86]

y - k = a(x - h)²

y = (x − 5)² + 8 -------> y-8 = (x-5)²

y - k = a(x - h)²
y - 8 = (x - 5)²
Compare these formulas we can see that k=8, h =5.

Vertex (5,8).

5 0

4 years ago

Santana wants to give one-thenths of all his marbles plus eight to his brother. Which expression can Santana use to calculate ho

Schach [20]

For this case we have the following variable:
m = Santana's total marbles
We must write an expression as a function of m to model the problem.
"Santana wants to give one-thenths of all his marbles plus eight to his brother"
The function is:
f (m) = (1/10) m + 8
Answer:
An expression that Santana can use is:
f (m) = (1/10) m + 8

8 0

3 years ago

Help ASAP!!! First to answer with a correct answer gets brain...

Llana [10]

Hey there!

First, let's multiply each side of the equation by 3 to get rid of the fraction $\frac{2}{3}$ .

9 + 2x = $\frac{6}{5}$

Next we can multiply each side of the equation by 5 to get rid of the fraction $\frac{6}{5}$ .

45 + 10x = 6

There's your answer!

Hope this helps!

6 0

4 years ago

GIVING BRAINLIEST PLZ HELP :(

Mars2501 [29]

Answer:

the length is x-3 but I don't have any information to solve the rest but if there is any more info pls lmk so I can solve it for u

Step-by-step explanation:

5 0

3 years ago