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Alexeev081 [22]
3 years ago
10

which could be the coordinates of the vertices of the following parallelogram, given that s is a units from the origin, z is b u

nits from the origin, and then length of the base is c units?
Mathematics
2 answers:
andrew11 [14]3 years ago
7 0

The coordinates of the vertices of the  parallelogram, given that s is a units from the origin, Z is b units from the origin, and then length of the base is c units could be the following:

W(b+c, 0), Z(b, 0), S(0, a), T(c,a)

marin [14]3 years ago
6 0

Answer:

W(b+c, 0), Z(b, 0), S(0, a), T(c,a)

Step-by-step explanation:

Given that a parallelogram has vertices as WZST and also

S is a units from origin. Without loss of generality assume S lies on y axis, then x coordinate is (0,a).   Z is b units from origin let it be on x axis and Z would be (b,0)

Length of base is c units.  Hence another vertex would be on x axis at a distance of c units from (b,0) can be (b+c,0)

Since base is c units, opposite side is also c units or ST would be c units

So T would be (c,a) since ST is parallel to x axis.

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In a small company with 20 employees, 10 employees make $80,000/yr, 6 employees make $ 150,000/yr the 4 highest-paid employees a
Elis [28]

Answer:

$129 000/yr

Step-by-step explanation:

Weighted average is used to answer this question.

<em>total employees are 20</em>

10 employees make 80 000

<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)

6 employees make 150 000

<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>

4 employees make 220 000

<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>

<em />

<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>

<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20

<em />

<em>weighted average = </em>2580000/20

<em />

<em>Weighted average = </em>129 000

<em />

8 0
3 years ago
Find two consecutive integers such that the smaller integer is six more than twice the larger integer
ZanzabumX [31]
Let the integers be x and x+1.

x = 6 + 2(x + 1)

x = 6 + 2x + 2

x = -8

Hence, the integers are -8 and -7.
8 0
3 years ago
Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounce
AnnyKZ [126]
Robins basket is heavier.
Teds basket: 5x7.25=36.25
Robins basket: 6x6.25=37.5
37.5-36.25= 1.25
It is heavier by 1.25 ounces or 1 and 1/4 ounces
8 0
2 years ago
A triangle has side lengths of 39in, 40 in, and 58 in. Classify it as acute, obtuse, or right.​
S_A_V [24]
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7 0
3 years ago
A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W
crimeas [40]

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

6 0
3 years ago
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