Offering 20 points and Brainliest! What's the answers to these two questions?

Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p

Lera25 [3.4K]

Answer:

$\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right$

Step-by-step explanation:

The coordinates are:

$\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right$

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

AB=CD; and
AC=BD

Using Distance Formula

$AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

$CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

$AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units$

$BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units$

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

3 0

3 years ago

Find the missing x- and y-values and Pythagorean triples can be generated using the identity given. Write the triple in parenthe

ddd [48]

The complete question is:

Find the missing x- and y-values and Pythagorean triples using the identity given:

(x² - y²)² + (2xy)² = (x² + y²)²

X Value: 4

Y Value: 3

Pythagorean Triples: ?

X Value: 5

Y Value: ?

Pythagorean Triples: (9,40,41)

X Value: ?

Y Value: 3

Pythagorean Triples: (27,36,45)

X Value: 7

Y Value: 5

Pythagorean Triples: ?

Step-by-step explanation:

Pythagorean triples are three numbers p, q, r, that satisfy Pythagoras' theorem.

That is, they are numbers such that

r² = p² + q².

Given the identity

(x² - y²)² + (2xy)² = (x² + y²)²

We can say tha

p = x² - y²

q = 2xy

r = x² + y²

Now, let us use this to solve the given problems.

X Value: 4

Y Value: 3

p = 4² - 3² = 7

q = 2×3×4 = 24

r = 3² + 4² = 25

Pythagorean Triples: (7,24,25)

X Value: 5

Y Value: ? = (4)

q = 2xy = 40

2×5×y = 40

y = 40/10 = 4

Pythagorean Triples: (9,40,41)

X Value: ? = (6)

Y Value: 3

2xy = q = 36

2×3×x = 36

x = 36/6 = 6

Pythagorean Triples: (27,36,45)

X Value: 7

Y Value: 5

p = 7² - 5² = 24

q = 2×7×5 = 70

r = 7² + 5² = 74

Pythagorean Triples: ? = (24,70,74)

8 0

3 years ago

PLS HELP ME WITH THIS!

user100 [1]

Answer:

second one (b)

Step-by-step explanation:

The nickel (at the bottom) is increasing at a steady pace. We know this because the line is going in a linear motion (meaning in a straight line). And it is increasing by a steady number (the gradient is 5 grams).

8 0

3 years ago

Multiple Choice What is the sum of five-sixths + start fraction 2 over 3 end fraction? A. one and one-third B. One and one half

polet [3.4K]

Answer:

B

Step-by-step explanation:

$\frac{5}{6} +\frac{2}{3} \\\\=\frac{5}{6}+\frac{2*2}{2*3} \\\\=\frac{5}{6}+\frac{4}{6} \\\\=\frac{5+4}{6} \\\\=\frac{9}{6} \\\\=\frac{3*3}{3*2} \\\\=\frac{3}{2}$

$=\frac{2+1}{2} \\\\=\frac{2}{2}+\frac{1}{2} \\\\=1+\frac{1}{2}$

B.One and one half

3 0

3 years ago

Please help me with this math problem, urgent please

cestrela7 [59]

Answer:

y = -3.5x + 15

Step-by-step explanation:

Your slope-intercept equation is always y = mx + b

Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)

Step 1: Find slope

m = (1-8) / (4-2)

m = -7/2

Step 2: Plug in into slope-intercept form

y = -3.5x + b

Step 3: Find <em>b </em>(Plug in a coordinate given)

1 = -3.5(4) + b

1 = -14 + b

b = 15

Step 4: Combine it all together

y = -3.5x + 15

And you have your final answer.

3 0

3 years ago