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3 years ago

Point J is located at (3,3) and point K is located at (7,-5) Find the midpoint of the line segment JK

Mathematics

1 answer:

bazaltina [42]3 years ago

8 0

Answer:

(5, -1)

Step-by-step explanation:

To get the midpoint, You just need to find the average between both X and Y coordinates. In this case, X is (3 + 7) / 2 and Y is (3 + -5) / 2.

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Question 1:

AnnyKZ [126]

Answer(1):

Given that h(y)=2y-7.

h(8) means plug y=8 into h(y)=2y-7.

h(8)=2*8-7=16-7=9

Hence C) 9 is the final answer.

Answer 2:

(7/8) = (m/32)

to solve for m, we begin by cross multiply

8m=7*32

8m=224

m=28

Hence choice C) 28 is final answer.

Reflection symmetry occurs when a line is drawn to divide a shape in halves so that each half is a reflection of the other.

Rotational symmetry is to check if the given picture is symmetric after some rotation.

Answer 3:

Letter "E" will have

B) the letter has reflection symmetry only

So B) is correct.

Answer 4:

Which statement is true?

Letter "Z" will have

B) the letter has rotation symmetry only

Hence B) is correct.

Answer 5:

Letter "X" will have

A) the letter has both reflection and rotation symmetry

Hence A) is correct.

5 0

3 years ago

Read 2 more answers

Use the given property of equality to complete the given statement. If a + 5 = b + 3 and a + 5 = 12, then b + 3 = ______________

Ganezh [65]

Answer:

b+3=9+3

a+5=12

a+5=b+3

12-3=9

8 0

3 years ago

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

puteri [66]

Answer:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

Step-by-step explanation:

information given

$\bar X=10.6$ represent the sample mean

$\sigma=4.1$ represent the population standard deviation

$n=45$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

We can replace in formula (1) the info given like this:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

8 0

4 years ago

1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

case C) point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

case D) point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

3 0

4 years ago

Read 2 more answers

Write 2 numbers that round to 480 when rounded to the nearest 10.

OLga [1]

Step-by-step explanation:

First, 480 rounded to the nearest ten is:

480

second 480 rounded to the nearest ten is 481

6 0

3 years ago