If the temperature were to drop 38 degrees, which number would display this best?

Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3/2(x + 4) when graphed?

Zielflug [23.3K]

Answer:

c. (-2, 5)

Step-by-step explanation:

y - 2 = 3/2(x + 4)

to know which is the correct option we have to replace the equation x and y with what is in the point

a.

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((-2) + 4)

-3 = 3/2(2)

-3 = 3

Wrong

b.

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-6) + 4)

3 = 3/2(-2)

3 = -3

Wrong

c.

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-2) + 4)

3 = 3/2(2)

3 = 3

Correct

d.

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((6) + 4)

-3 = 3/2(10)

-3 = 15

Wrong

8 0

3 years ago

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e

bekas [8.4K]

Answer:

The water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be $\frac{9}{4} x$ .

And let the water be $\frac{3}{4} x$ .

According to question:

$\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}$ .

On adding the fractions:

⇒ $\frac{9x+3x}{4} =\frac{63}{4}$

⇒ $\frac{12x}{4} =\frac{63}{4}$

Multiplying both sides by 4 we get:

⇒ $12x=63$

Dividing both sides by 12 we get:

⇒ $x=\frac{63}{12}$

Dividing numerator and denominator by 3 on R.H.S we get:

⇒ $x=\frac{21}{4}$

Now, putting the value of $x$ on ratios:

Strawberry syrup = $\frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}$

= $\frac{189}{16}$

= $11\frac{13}{16}\ cups$

Water = $\frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}$

= $\frac{63}{8}$

= $7\frac{7}{8} \ cups.$

Therefore, the water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

4 0

3 years ago

Which of the following describes the number below? 0.92479247..

kykrilka [37]

Answer:

I believe its D.

Rational Only

Step-by-step explanation:

4 0

2 years ago

Find the trignometric ratios of theta.also find trignometric ratio of beta Please solve it

eimsori [14]

Answer:

${\boxed{ \fbox{ \fbox{ \fbox{ \red{hello}}}}}}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ $\mathscr \fcolorbox{blue}{green}{BE \: BRAINLY}$ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ $\mathscr \fcolorbox{blue}{blue}{BE \: BRAINLY}$ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ $\mathscr \fcolorbox{blue}{red}{BE \: BRAINLY}$ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ $\mathscr \fcolorbox{blue}{gray}{BE \: BRAINLY}$ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬