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Luda [366]
3 years ago
11

What is the equation of the following graph? Write it in both slope-intercept form and standard form.

Mathematics
1 answer:
MArishka [77]3 years ago
5 0
X-intercept : (-2,0) and y-intercept (0,3)

slope = (3-0)/(0+2) = 3/2 = 1.5
b = 3

equation in <span>slope-intercept form
</span>y = 1.5x + 3

equation in standard form
1.5x - y = -3
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Please help ASAP
Arisa [49]

Answer:

2 lessons per day for 27 days and 3 lessons a day for 4 days.

Step-by-step explanation:

66/31 = 2 4/31

Since 66 divided by 31 is 2 with remainder 4, you need to do 31 days of 2 lessons per day. To do the extra 4 lessons, do one more lesson per day for 4 of those days.

That results in:

2 lessons per day for 27 days and 3 lessons a day for 4 days.

Check:

2 lessons a day for 27 days = 2 * 27 = 54

3 lessons a day for 4 days = 3 * 4 = 12

54 + 12 = 66

If you do 2 lessons a day for 27 days and 3 lessons a day for 4 days, you will do the 66 lessons.

5 0
3 years ago
If cos A = 3 over 11, then which of the following is correct?
ziro4ka [17]

Answer:  The answer is (a) sec A = 11 over 3.



Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,

i.e.,

\cos A=\dfrac{3}{11}.

And we need to find which one of the given four options is correct.

We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

\sec A=\dfrac{1}{\cos A}~~\textup{and}~~\csc A=\dfrac{1}{\sqrt{1-\cos^2 A}}.

Therefore,

\sec A=\dfrac{11}{3}

and

\csc A=\dfrac{1}{\sqrt{1-\frac{9}{121}}}=\dfrac{1}{\sqrt{\frac{112}{121}}}=\dfrac{11}{4\sqrt 7}.

Thus, the correct option is (a)  sec A = 11 over 3.

3 0
3 years ago
Lee drove 420 miles and used 15 gallons of gasoline. How many miles did Lee’s car travel per gallon of gasoline?
olasank [31]

Answer:

28 miles per gallon

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Whats 90 divided by 2 times 5
Allisa [31]

Answer:

225

Step-by-step explanation:

90 divided by 2 is 45, 45 times 5 is  225

4 0
3 years ago
Read 2 more answers
How do you use proportions to solve percent problems​
exis [7]

Answer:

Step-by-step explanation:

EXAMPLE #1:

What number is 75% of 4?   (or   Find 75% of 4.)

The PERCENT always goes over 100.

   (It's a part of the whole 100%.)

4 appears with the word of:

   It's the WHOLE and goes on the bottom.

A proportion showing one fraction  with PART as the numerator and 4 as the denominator equal to another fraction with 75 as the numerator and 100 as the denominator.

We're trying to find the missing PART (on the top).

In a proportion the cross-products are equal:   So 4 times 75 is equal to 100 times the PART.

The missing PART equals 4 times 75 divided by 100.

(Multiply the two opposite corners with numbers; then divide by the other number.)

4 times 75 = 100 times the part

300 = 100 times the part

300/100 = 100/100 times the part

3 =   the part

A proportion showing the denominator,  4, times the diagonally opposite 75; divided by  100.

7 0
3 years ago
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