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Andrej [43]
3 years ago
10

What is the highest common factor of 45 and 315?

Mathematics
2 answers:
7nadin3 [17]3 years ago
8 0
The highest common factor is 45
tiny-mole [99]3 years ago
3 0

The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .

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write and equation for the line in point-slope form that passes through (2,-5) and is perpendicular to the line 2x-4y+8=0​
Ivenika [448]

bearing in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above?

\bf 2x-4y+8=0\implies -4y=-2x-8\implies y = \cfrac{-2x-8}{-4} \\\\\\ y = \cfrac{-2x}{4}-\cfrac{8}{-4}\implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{1}\implies 2}}

so we're really looking for the equation of a line whose slope is 2 and runs through (2,-5),

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y+5=2x-4\implies y=2x-9

4 0
3 years ago
23 × 32 is the prime factorization for which one of these choices?
forsale [732]

Hello.

Here's our explanation: First, you had to multiply line them up. 2*3=6, then 3*3=9. Bring down the zero, then multiply 2*2=4. And 3*2=6, which gives us equal to 640. Finally, add it up, 96+640=736. 736 is the final answer.

Hope this helps!

Thanks!

Have a great day!

7 0
3 years ago
Read 2 more answers
The table shows the yardage for each team in their last football game. Who had the worst performance? A) Bears B) Lions C) Tiger
AlexFokin [52]
Is there a picture or a graph? Not enough info I’m sorry!
4 0
3 years ago
Read 2 more answers
A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and cost 38 dollars per month to join.
victus00 [196]
Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.

We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63

Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:

38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63

Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9

So at month 9, the 2 plans will cost the same.

Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.

Hope this helps! :D
8 0
3 years ago
Solve for a.<br><br> ab + c = d
mr_godi [17]

Answer:

a = (d-c)/b

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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