Could someone please help me with this

Given that y is directly proportional to x^2 and that y=2 when x=3 find the value of y when x=6

Sergio039 [100]

Answer:y=4/3

y is directly proportional to x^2 is written as

$y \alpha {x}^{2}$ introducing a constant,

y=kx^2

but from the question, when y=2 , x=3 . putting it in the formula to get the value of k

$2 = {3}^{2} \times k$

2=9k . dividing through by 9 to get the value of k

 $\frac{2}{9} = \frac{9k}{9}$ 

 $k = \frac{2}{9}$ 

putting it in the general expression

 $y = \frac{2}{9} x$ 

the value of y when x=6

 $y = \frac{2}{9} \times 6$ 

 $y = \frac{4}{3}$ 

therefore the value of y when x=6 is

4/3

3 0

3 years ago

X+3.6= −4.75 Solve for x Tell what you did to find x

Drupady [299]

Answer:

x=3.85

brainliest plssssssss

Step-by-step explanation:

Question:

x+3.6= −4.75

Step 1:

Subtract 3.6 from both sides of the equation

x+3.6-3.6=-4.75-3.6

Step 2:

Subtract the Numbers and simplify

x=3.85

4 0

3 years ago

Which sides are congruent in the diagram below?

Vikki [24]

Answer: The first option (A)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Bags of almonds cost three dollars more than bags of pecans the owner of a bakery ordered five bags of almonds and three bags of

antiseptic1488 [7]

Answer:

Let bags of pecans cost = x

Make an equation :

Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)

Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

bags of almonds is $5+$3 = $8

6 0

3 years ago

a line has a slope of -2/3 for a pair of points on the line. Find the missing coordinate if the points are (-1,y) and (4,7)

masha68 [24]

Answer:

The missing co-ordinate is: (-1, $\frac{31}{3}$ ).

Step-by-step explanation:

Given the slope of a line and a point on it, we determine the equation of the line by slope - one point form.

Slope - one point form: (y - y₁) = m(x - x₁)

Where, (x₁,y₁) is the point passing through the line.

Here the slope is $\frac{-2}{3}$ and the point (x₁,y₁) = (4,7).

Therefore the equation would be:

y - 7 = $\frac{-2}{3}$ (x - 4)

⇒ 3y - 21 = -2x + 8

⇒ 2x + 3y - 29 = 0 is the equation of the line.

Now it is given that (-1,y) also passes through the line, this point should satisfy the equation.

⇒ 2(-1) +3y = 29

⇒ 3y = 31 i.e., y = $\frac{31}{3}$

Therefore, the missing co-ordinate is: (-1, $\frac{31}{3}$ ).

8 0

3 years ago

Could someone please help me with this​

Could someone please help me with this