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2 years ago

Complete each statement using <, >, or =. Use your number line to explain your reasoning

Mathematics

1 answer:

Stels [109]2 years ago

6 0

Answer:

Step-by-step explanation:

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Rectangle ABCD has vertices A(15, 18), B(−5, 3), C(1, −5), and D(21, 10).

erastova [34]

Answer:

1. 25

2. 10

3. 250

Step-by-step explanation:

Distance formula :√ (x2 - x1)² + (y2 - y1)² √ ()² + ()²

1. LENGTH OF AB :

A = 15,18

B = -5,3

√ (-5 - 15)² + (3 - 18)²

= √ 400 + 225

= 25

2. LENGTH OF AD :

A = 15,18

D = 21,10

√ (21 - 15)² + (10 - 18)²

= √36 + 64

= 10

AREA :

A=w x l

10 x25 = 250

4 0

2 years ago

What are the roots of the quadratic equation below?<br> x2 + 2x= -5

muminat

Answer:

No real root.

Complex roots:

$x = -1 \pm 2i$

Step-by-step explanation:

$x^2 + 2x = -5$

$x^2 + 2x + 5 = 0$

There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$x = \dfrac{-2 \pm \sqrt{2^2 - 4(1)(5)}}{2(1)}$

$x = \dfrac{-2 \pm \sqrt{4 - 20}}{2}$

$x = \dfrac{-2 \pm \sqrt{-16}}{2}$

Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.

$x = \dfrac{-2 \pm 4i}{2}$

$x = -1 \pm 2i$

7 0

3 years ago

Read 2 more answers

Using pemdas please

adell [148]

Answer:

Step-by-step explanation:

5²= 10

10x3=30

90-30=60

7 0

3 years ago

Read 2 more answers

Simplify (100)^2+(49)^2/(100)^2-100(49)+(49)^2

Tomtit [17]

Answer:

Exact Form:

7501240110000

Decimal Form:

7501.2401

Mixed Number Form:

7501240110000

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

the fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his

Aleonysh [2.5K]

Answer:

Sofia

Step-by-step explanation:

Bc she had 4/4 and she ate 3/4 and 3/4 is greater than the other too

6 0

3 years ago