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3 years ago

Y=mx+b (-6,-3) and (0,9)

Mathematics

1 answer:

Leno4ka [110]3 years ago

3 0

Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m = $\frac{9+3}{0+6}$ = $\frac{12}{6}$ = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

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3 years ago

Which expression is equivalent to n2 + 26n + 88 for all values of n?

Lelechka [254]

Answer:

Option B is correct.

The expression which is equivalent to $n^2+26n+88$ is; $(n+22)(n+4)$

Explanation:

Given the equation: $n^2+26n+88$ for all values of n.

The quadratic equation in this form; $ax^2+bx+c =0$

First find two numbers that multiply to give ac and add to give b.

From the given equation;

a =1 , b = 26 and c =88

then,

the two number that multiply to give ac =88 is, 22 or 4

and they add up to give b=26 (i.e 22+4)

Now, rewrite the middle term i.e 26n with 22n and 4n , we have

$n^2+22n+4n+88=0$

Now, factor the first two terms and last two terms,

$n(n+22)+4(n+22)$

we see that $(n+22)$ is common to both terms so, we have;

$(n+22)(n+4)$

Therefore, the expression $(n+22)(n+4)$ is equivalent to $n^2+26n+88$

Check:

(n+4)(n+22) = $n\cdot n+ 22n+4n+88$ = $n^2+26n+88$ [ True]

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2 years ago

Read 2 more answers

A line parallel to the line 3x+4y+8=0 with y-intercept 4

Vitek1552 [10]

3x + 4y + 8 = 0
4y = -3x - 8
y = -3/4x - 2....slope here is -3/4. A parallel line will have the same slope.

y = mx + b
slope(m) = -3/4
y int (b) = 4

so ur equation is : y = -3/4x + 4

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2 years ago

Read 2 more answers

How do you solve 7.2>0.9(n+8.6)

labwork [276]

7.2>0.9(n+8.6)
multiply 0.9 by all in parentheses

7.2> (0.9*n) + (0.9*8.6)
7.2> 0.9n + 7.74

subtract 7.74 from both sides
-0.54> 0.9n

divide both sides by 0.9
-0.6> n

ANSWER: -0.6> n

Hope this helps! :)

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3 years ago

HELP:. In baseball, the distance from the pitcher's mound to the batter is 60.5 feet. A pitcher can throw the baseball at 121 fe

zheka24 [161]

<h3>Answer: D. 5 blinks</h3>

=========================================================

Explanation:

First we'll need to find out how long it takes for the ball to go from the pitcher to the batter.

It needs to travel 60.5 feet and does so at a speed of 121 ft/sec

distance = speed*time

time = distance/speed

time = (60.5 ft)/(121 ft per sec)

time = 0.5 seconds

In half a second, the ball is from the pitcher to the batter.

------------

An eye blink is 0.1 second which means we can form this equation

0.1 second = 1 blink

We multiply both sides by 5 to get the "0.1 second" to turn into "0.5 seconds".

So,

0.1 second = 1 blink

5*(0.1 second) = 5*(1 blink)

0.5 seconds = <u>5 blinks</u> which points us to choice D.

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2 years ago