MATHEMATICS HIGH SCHOOL

A trapezoid has symmetry with respect to the median of the trapezoid.

True or False

Answers

Answer 1

Answer: A trapezoid has symmetry with respect to the median of the trapezoid.

False

Answer 2

Answer:

Answer:

False

Step-by-step explanation:

A trapezoid is one special type of quadrilateral.

The speciality is one pair of opposite sides would be parallel.

The trapezium may or may not have the non parallel sides equal. If they are equal it is called isosceles trapezium

Here when we consider a trapezium, the median is the line joining the mid points of the non parallel sides.

Since trapezium is narrow on one side of the median and wider on the other side of the median, this cannot divide the trapezium into two symmetrical shapes.

Hence A trapezoid cannot have symmetry with respect to the median of the trapezoid.

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Find the range of f(x) = 3x - 5 for the domain {-1.5, 2, 4}A) {-8, 10, -1, -1}
B) {-9.5, 1, 7}
C) {8, 10, 1, 1}
D) {9.5, -1, -7}

Answers

For this case we have the following function:

$f (x) = 3x - 5$

To find the values of the range of the function, we substitute the values of the domain.

We have then:

For x = -1.5:

$f (x) = 3 (-1.5) - 5\nf (x) = -4.5 - 5\nf (x) = -9.5$

For x = 2:

$f (x) = 3 (2) - 5\nf (x) = 6 - 5\nf (x) = 1$

For x = 4:

$f (x) = 3 (4) - 5\nf (x) = 12 - 5\nf (x) = 7$

Therefore, the values of the range are given by:

{-9.5, 1, 7}

Answer:

the range of $f (x) = 3x - 5$ for the domain {-1.5, 2, 4} is:

B) {-9.5, 1, 7}

B is the answer

Because A and C could not be since the set have 4 results

D could not be because f(4)=. 12-5=7 not -7

Find the product (3+2i)(4+i)

Answers

Answer: $10+11i$

Step-by-step explanation:

Multiply each term inside the brackets and be aware that $i$ is just $\sqrt-1}$ . So, we are given $(3+2i)(4+i)$ :

Lets start by multiplying the outer term :

$3*4=$ $12$

Now first inner :

$3*i$ $=3i$

Now second inner :

$4*2i$ $=8i$

Now last :

$2i*i$ $=2i^2$

Now, we must simplify the last term while keeping in mind $i$ is just $\sqrt-1}$ :

$2i^2=2√(-1) ^2 = -2$

Now add up all like terms :

$(12+(-2))+(3i+8i) = 10+11i$

And that's it!

1.What is the correct reason for statement 2?Prove: 2(w + 6) + 4 = 2w + 16
Statements Reasons
1. 2(w + 6) + 4 1. Given
2. (2w + 12) + 4 2. ?
3. 2w + (12 + 4) 3. Associative Property
4. 2w + 16 4. Addition

2.What is the correct reason for statement 2?
Prove: 4 + 3x + (x ∙ 2) = 5x + 4
Statements Reasons
1. 4 + 3x + (x ∙ 2) 1. Given
2. 4 + 3x + 2x 2. ?
3. 4 + 5x 3. Addition
4. 5x + 4 4. Commutative Property

3.What is the correct reason for statement 3?
Prove: (11m) ∙ 4 + m = 45m
Statements Reasons
1. (11m) ∙ 4 + m 1. Given
2. 4 ∙ (11m) + m 2. Commutative Property
3. (4 ∙ 11) ∙ m + m 3. ?
4. 44m + m 4. Commutative Property
5. 45m 5. Addition

4.What is the correct reason for statement 5?
Prove: k + 4 + 6(1 + k) = 11k + 10
Statements Reasons
1. k + 4 + 6(1 + k) 1. Given
2. k + 4 + (6+ 6k) 2. Distributive Property
3. k + (4 + 6) + 6k 3. Associative Property
4. k + 10 + 6k 4. Addition
5. k + 6k + 10 5. ?
6. 7k + 10 6. Addition

5.Select the correct reasons for statements 1 and 3 to complete the proof.
Prove: 3x + 2 • x • 11 = 25x.
1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ?
2. 3x + 2 • x • 11 = 3x + 22x 2. Multiplication
3. 3x + 2 • x • 11 = 25x 3. ?

Answers

1. The reason for statement 2 is
Distributive Property

2. The reason for statement 2 is
Commutative Property

3. The reason for statement 3 is
Associative Property

4. The reason for statement 5 is
Commutative Property

5. The reason for statement 1 is
Associative Property
The reason for statement 3 is
Addition

State the correct reason for each statement

2(w + 6) + 4 = 2w + 16

1. 2(w + 6) + 4

2. (2w + 12) + 4

3. 2w + (12 + 4)

4. 2w + 16

Statements Reasons:

1. Given

2. distributive property

3. Associative Property

4. Addition

4 + 3x + (x ∙ 2) = 5x + 4

1. 4 + 3x + (x ∙ 2).

2. 4 + 3x + 2x

3. 4 + 5x

4. 5x + 4

Statements Reasons:

1. Given

2. cummulative property

3. Addition

4. Commutative Property

(11m) ∙ 4 + m = 45m

1. (11m) ∙ 4 + m

2. 4 ∙ (11m) + m

3. (4 ∙ 11) ∙ m + m

4. 44m + m.

5. 45m

Statements Reasons:

1. Given

2. Commutative Property

3. associative

4. Commutative Property

5. Addition

k + 4 + 6(1 + k) = 11k + 10

1. k + 4 + 6(1 + k)

2. k + 4 + (6+ 6k)

3. k + (4 + 6) + 6k

4. k + 10 + 6k

5. k + 6k + 10

6. 7k + 10

Statements Reasons:

1. Given

Given 2. Distributive Property

Given 2. Distributive Property 3. Associative Property

Given 2. Distributive Property 3. Associative Property 4. Addition

Given 2. Distributive Property 3. Associative Property 4. Addition 5. cumulative

6. Addition

3x + 2 • x • 11 = 25x.

1. 3x + 2 • x • 11 = 3x + 2 • 11 • x

2. 3x + 2 • x • 11 = 3x + 22x

3. 3x + 2 • x • 11 = 25x

Reasons:

1. associative

1. associative2. Multiplication

1. associative2. Multiplication 3. addition

brainly.com/question/24730587

A pipe is leaking at 1.5 cups per day.about how many gallons per week is the pipe leaking

Answers

(1.5 cup/day) x (7 day/week) x (gallon / 16 cup) = 0.656 gallon/week

Compute the amount of interest earned in the following simple interest problem.A deposit of $1,600 at 6% for 180 days:

Answers

with 6% is 1,696. for 180 days, $305,280

I=PRT
I=interest
P=principal
R=rate in decimal
T=time in yaers

365 days per year
t=180/365

given
P=1600
R=6%=0.06
T=180/365

I=1600*0.06*180/365
I=96*180/365
I=47.342

rounds to
Interst=$47.34

How do I convert from y = mx + b form to Ax + By + C = 0 form? The line is y = 2x - 4. Thanks. :)