Write the expression as a single logarithm 2 ln 7 + ln(x+5)

Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M

HACTEHA [7]

Answer:

The equation of line M in slope intercept form is $y=\frac{3}{2}x+1$

The equation of line M in standard form is $3x-2y=-2$

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(2,4) and (0,1)

substitute

$m=\frac{1-4}{0-2}$

$m=\frac{-3}{-2}$

$m=\frac{3}{2}$

step 2

Find the equation of the line M in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{3}{2}$

$point\ (0,1)$

substitute

$y-1=\frac{3}{2}(x-0)$

$y-1=\frac{3}{2}x$ ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

$y=mx+b$

Isolate the variable y in the equation of the line in point slope form

$y-1=\frac{3}{2}x$

Adds 1 both sides

$y=\frac{3}{2}x+1$

step 4

Find the equation of the line M in standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

we have

$y=\frac{3}{2}x+1$

Multiply by 2 both sides

$2y=3x+2$

$3x-2y=-2$ ---> equation in standard form

7 0

3 years ago

Help picture below problem 12

lesya [120]

Answer:

80 degrees

Step-by-step explanation:

This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.

And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)

5 0

2 years ago

Solve for x. y=(x + a)m

Nikolay [14]

Answer:

x = y/m - a

Step-by-step explanation:

divide both side by m

y/m = x + a

subtract a from both sides

y/m - a = x

switch sides.

x = y/m - a

4 0

2 years ago

Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced

Naddika [18.5K]

Answer:

160 feet

Step-by-step explanation:

In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:

5,280 (the number of feet in 1 mile) / 33

5,280/33=160

The posts are 160 feet apart from each other.

HTH :)

5 0

2 years ago

450 g in the ratio 2:13

jonny [76]

450 g in 2:13

Total proportion asked for =2+13=15

Now comparing g with ratio, or whatever

450/15=30g $\implies$ Therefore 1 in ratio depicts of 30g

So final answer = $\boxed{60g : 390g}$

$\huge\mathfrak\colorbox{white}{}$

More to know, daily bit of knowledge: The Binomial Theorem:

$\boxed{{(a+b)} ^n= \sum_{k=0}^{n}\binom{n}{k} a^{n-k}b^{k}}$

3 0

2 years ago

Write the expression as a single logarithm 2 ln 7 + ln(x+5) - ln(x-3)