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3 years ago

Find the slope of each side

Mathematics

2 answers:

andre [41]3 years ago

7 0

I actually don’t even know

IceJOKER [234]3 years ago

5 0

The slope of JK is 2/3 bc m=y2-y1/x2-x1=4-0/1–5= 4/6=2/3

The slope of KL is -3/2 bc m= y2-y1/x2-x1= 1-4/3-1= -3/2

The slope of LM is 2/3 bc m=y2-y1/x2-x1= -3-1/-3-3 = -4/-6 =2/3

The Slope of MJ is 3/-2 bc m=y2-y1/x2-x1=0–3/-5–3=3/-2

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Decide whether quadrilateral ABCD with vertices 4(3,1), B(-1,-1) C(1,3), and D(5.5) is a rectangle, rhombus,square, or parallelo

Sergeeva-Olga [200]

Answer: rhombus

Step-by-step explanation:

By inspection, we can tell that there are no right angles, so we can determine it is not a square or a rectangle.

From the options, it is implied that it is a parallelogram, so to determine if it is a rhombus, we can determine if there is a pair of consecutive congruent sides.

By the distance formula,

$AB=\sqrt{(-1-3)^{2}+(-1-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(-1-1)^{2}+(-1-3)^{2}}=\sqrt{4+16}=2\sqrt{5}$

As AB=BC, there is indeed a pair of consecutive congruent sides, and thus the most specific classification is a <em>rhombus</em>

5 0

2 years ago

working together, paul and dan can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken dan 9 ho

Leya [2.2K]

Answer:

Step-by-step explanation:

If Daniel does 1/9 of the job in one hour

let x = Paul's rate

Paul does 1/x of the job in one hour

They both do the job in 4.95hrs

(1/9)(4.95) + (1/x)(4.95) = job completion

multiply both sides by 9x

(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)

4.95x + 9*4.95 = 9x

4.95x + 44.55 = 9x

9x - 4.95x = 44.55

4.05x = 44.55

x = 44.55/4.05

x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone

7 0

3 years ago

Solve for x <br><br> 6x + 11= - (6x + 5)

Semmy [17]

Answer:

x = -4/3

Step-by-step explanation:

6x + 11 = -6x - 5

12x = -16

x = -4/3

3 0

3 years ago

Read 2 more answers

Consider z1 = 4 – 4 startroot 3 endrooti and z2 = –16i. What is z1 – z2? 4 – 12startroot 3 endroot i 4 12startroot 3 endroot i 4

dalvyx [7]

The answer is: $z_1-z_2=4-4(\sqrt{3i} -4i)$

The correct option is: (D)

<h3>What are Complex numbers?</h3>

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z).