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3 years ago

Reflect the point in a the x- axis and b the y-axis (-2,6)

1 answer:

3 0

If you were to reflect them, the answer would be the same numbers with the opposite sign. Therefore, the answer should be (2,-6) hope that helped!!!!

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A straight line with the equation y=ax-3 goes through the point (2,11). Work out the value of a

Rzqust [24]

The value a is 7.

<h3>What is Straight Line?</h3>

A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves.

Here, the given equation of line

y = ax -3

line passing through point (2, 11), then

11 = a X 2 - 3

11 + 3 = 2a

2a = 14

a = 7

Thus, the value a is 7.

Learn more about Straight line from:

brainly.com/question/20492082

#SPJ1

4 0

2 years ago

5. Mark's brother is five years older than Mark.

AleksAgata [21]

Answer:

Step-by-step explanation:

Let's say Mark is M and his brother is B.

M+5=B

M+B=23

Now we can solve using subsitution.

M+M+5=23

(Subtract 5 from both sides)

2M=18

M=9

Hope this helped!

8 0

3 years ago

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det

seraphim [82]

Answer:

The required hypothesis to test is $H_0: \mu\leq 30$ and $H_1: \mu>30$ .

Step-by-step explanation:

Consider the provided information.

It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.

She would now like to determine whether or not the mean age of her customers is over 30.

Null hypotheses is represents as $H_0$ . Thus the null hypotheses is shown as:

$H_0: \mu\leq 30$

The alternative hypotheses is represents as $H_1$ . Thus the alternative hypotheses is shown as:

$H_1: \mu>30$

Hence, the required hypothesis to test is $H_0: \mu\leq 30$ and $H_1: \mu>30$ .

8 0

3 years ago

Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill?

skad [1K]

Answer:600

Step-by-step explanation:

300,000/ 500 =600

7 0

3 years ago

Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ

liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

$\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy$

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy
Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy$

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2$

We conclude that the line integral is 1/2

4 0

3 years ago