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katrin2010 [14]
3 years ago
11

2x+3y=24 in slope intercept form ASAPPPPPPPPPPPPP

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

Answer:

y=(-2/3)x+8

Step-by-step explanation:

2x+3y=24

3y=-2x+24

y=(-2x+24)/3

y=(-2/3)x+8

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If t a n squared θ = 3 /8 , what is the value of  s e c θ
TEA [102]

We can use 3 facts:

\tan{\theta}=\frac{y}{x}

\sec{\theta}=\frac{r}{x}

x^2+y^2=r^2

So, to find our x and our y we can do:

\tan^2{\theta}=\frac{3}{8} \implies \\ \tan{\theta}=\pm{\sqrt{\frac{3}{8}}=\pm\frac{\sqrt{3}}{\sqrt{8}}So, now that we know our x and our y we can find our r.

(\sqrt{3})^2+(\sqrt{8})^2=11 \implies r=\sqrt{11}

You'll notice, though, that there were two solutions for \tan{\theta}, which means we have a positive and a negative for our x. So:

\sec{\theta}=\frac{\sqrt{11}}{\sqrt{8}} \\ \sec{\theta}=-\frac{\sqrt{11}}{\sqrt{8}}}\\ \text{Rationalizing both of them:}\\ \sec{\theta}=\frac{\sqrt{88}}{8} \\ \sec{\theta}=-\frac{\sqrt{88}}{8}

7 0
3 years ago
Read 2 more answers
Robert borrowed $750 from his parents. He promised to repay the loan by giving his parents at least $67 from his paycheck each w
Luda [366]

To answer this question we can propose the following equation:


d=750 -x(67)


Where:


x is the number of weeks elapsed.


d is the debt depending on the weeks.



Robert promised to pay at least $ 67 each week.


Therefore, after 5 weeks the debt of rober should be:


d\leq750-5*67

d\leq415


Then scenario A) is possible because 150.



After 6 weeks:


d\leq750-6*67


d\leq348

Then scenario B) is possible because 200.



After 7 weeks


d\leq750-7*67


d\leq281

Then scenario C) is possible because 250.



After 8 weeks

d\leq750-8*67

d\leq214

So scenario D) is NOT possible because 300>214



Finally the correct answer is option D.

3 0
3 years ago
Solve in substitution
juin [17]
20$ and it weighs 28 pounds
5 0
3 years ago
Find the values of x and y​
qwelly [4]

Answer:

x = 85 Degrees

y = 85 Degrees

Step-by-step explanation:

20 Degrees + 90 Degrees -->

90 and 20 are <em>given</em> => 110 Degrees

e triangle angles sum = 180 Degrees

180 - 110 = 70 Degrees

=> Vertical angles so 25 + x + 70 = 180

x = 85

x + (z) = 180 e sum of half 360

85 + z = 180

z = 95 Degrees

--> z + (y) = 180 e same as above (sum of interior angles)

95 + y = 180

y = 85

<em><u>Hope this helps!</u></em>

5 0
4 years ago
The low temperature for 5 days was -5° -7° -29.29 and -3°. What was the average low temperature for those
Karolina [17]
About -4° i think, i apologize if i’m incorrect, i haven’t done this in a while
7 0
3 years ago
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