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4 years ago

Find the length of a diagonal of a rectangle ABCD with vertices A (-3, 1) B (-1, 3) C(3, -1) and D (1,-3)

Mathematics

2 answers:

Basile [38]4 years ago

8 0

The answer would be 6.3

Novay_Z [31]4 years ago

4 0

The length of the diagonal may be determined by using the points A and C or B and D. Choosing A and C, the length of the diagonal is,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the known variables,
d = sqrt (3 - -3)² + (-1 - 1)²)
d = sqrt 40

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Store employees are handing out coupons. Every 10th customer gets a $1 coupon. Every 12th customer gets a $2 coupon.

Paul [167]

The 11th customer because they don't mention it.

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4 years ago

Read 2 more answers

susan is driving to mount shasta .on her map she is a distance of 7 inches away .the scale of the map is 1/2 inch=50 miles.how f

DochEvi [55]

Answer:

700 miles

Step-by-step explanation:

Given:

Scale of the map is $\frac{1}{2}\textrm{ in}=50\textrm{ mi}$

∴ $1\textrm{ in}= \frac{50}{\frac{1}{2}}=50\times 2=100\textrm{ mi}$

Distance of Susan from mount Shasha on the map is 7 inch.

Therefore, Number of miles = $7\times 100=700\textrm{ mi}$

Hence, Susan must travel 700 miles to reach her destination.

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3 years ago

If $x$ and $y$ are positive real numbers for which $(x + y)^2 + (x - y)^2 = 10$ and $(x + y)^4 + (x - y)^4 = 98$, what is the va

slava [35]

$(x+y)^2+(x-y)^2=10$
$\implies 2x^2+2y^2=10$
$\implies x^2+y^2=5$
$\implies (x^2+y^2)^2=x^4+2x^2y^2+y^4=25$

$(x+y)^4+(x-y)^4=98$
$\implies 2x^4+12x^2y^2+2y^4=98$
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6 0

4 years ago

Solve for x 1-6x=-17

Zarrin [17]

Answer:

x=3

Step-by-step explanation:

1. Rearrange terms

1 - 6x = -17

-6x + 1 = -17

2. Subtract 1 from both sides of the equation (we want to get rid of 1)

3. Simplify

In the end, you should get x=3.

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3 years ago

Brenda makes a wooden coasters. She cuts small round posts into 2/3-inch thick disks of wood. How many coasters can brenda make

Helen [10]

1/2 foot is 6 inches.

Brenda has to divide that 6 inches up into slices that are 2/3 inch thick.

If she uses a saw that has no thickness and makes no sawdust, she can get

(6) ÷ (2/3) = (6) · (3/2) = (18 / 2) = 9 slices out of the 6-inch post.

3 0

3 years ago