All categories

3 years ago

I need help with 21

Mathematics

1 answer:

expeople1 [14]3 years ago

8 0

I can't see the picture

You might be interested in

An automated assembly line produces 840 units per hour. At the same production rate, how many units could be produced in 45

WARRIOR [948]

Answer:

The 630

Step-by-step explanation:

i took the test on usa test prep

6 0

2 years ago

Determine whether a figure with the given vertices is a rectangle using the Distance Formula.

Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

$A(4, -7), B(4, -2), C(0, -2), D(0, -7)$

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the length of the sides

Find the distance AB

substitute the values

$d=\sqrt{(-2+7)^{2}+(4-4)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$AB=5\ units$

Find the distance BC

substitute the values

$d=\sqrt{(-2+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

Find the distance CD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-0)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

$CD=5\ units$

Find the distance AD

substitute the values

$d=\sqrt{(-7+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$AD=4\ units$

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

Find the distance AC

substitute the values

$d=\sqrt{(-2+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(5)^{2}+(-4)^{2}}$

$AC=\sqrt{41}\ units$

Find the distance BD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$BD=\sqrt{41}\ units$

Compare the length of the diagonals

AC=BD

therefore

Diagonals are congruent

The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

8 0

3 years ago

Read 2 more answers

Simplify the given expression.. . (7 − 3i) • (2 − i). . 4 + i. . 14 + 3i. . 11 − 13i. . 14 − 10i

Mila [183]

The correct answer for this question is 11 - 13i.
This is how to answer this one:

(7 - 3i) (2 - i)
= [ (7*2) - (3i*2) - (7*i) + (3i*i) ]
Get the product of each term
= (14 -6i - 7i + 3i^2)

Group similar terms
= 14 - 13i - 3

Simplify.
= 11 - 13i

Side solution:
i = square root (-1)
i^2 = -1

3 0

3 years ago

Read 2 more answers

16.24 - 14 =

koban [17]

Answer:

2.24

Step-by-step explanation:

16.24-14=2.24.

4 0

2 years ago

Read 2 more answers