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zhuklara [117]
2 years ago
5

Ye Li drew a quadrilateral that is both a rectangle and a rhombus. Name the quadrilateral and describe it using the properties o

f sides and angles.
" describe it detaled so my teacher dosnt find out i used dis for a test"
Mathematics
1 answer:
artcher [175]2 years ago
8 0
We know that a rectangle has 2 pairs of opposite equal sides and all interior angles are right. A rhombus has 4 equal sides. If a quadrilateral is both a rectangle and rhombus, it has 4 equal sides and 4 right interior angles. That quadrilateral must be a square. 
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Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
5 0
2 years ago
The area of a room is 396 square feet. The length is x+3, and the width is x+7 feet. Find the dimensions of the room
Marrrta [24]
This is an odd problem. The length and width look like they should be interchanged. Anyway I'll solve it and we'll talk about the results.
(x +7) (x + 3) = 396
x^2 + 7x + 3x + 21 = 396
x^2 + 10x + 21 = 396 Subtract 21 from both sides.
x^2 + 10x = 396 - 21
x^2 + 10x = 375
x^2 + 10x - 375 = 0 This probably factors.
(x + 25)(x - 15)
x + 25 = 0
x = - 25 which makes no sense. Negatives do not describe room dimensions.
x - 15= 0
x = 15. this is fine.

x+3 = 15 + 3 = 18
x + 7 = 15 + 7= 22

Check
=====
Area = L * W = 18 * 22 = 496. It does check.
22 should be the length

18 should be the width.
3 0
2 years ago
Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get
bazaltina [42]
Answer:
The number is 6.25

Explanation:
Assume that the number we are looking for is x

First, we will set up the equations as follows:
1- Subtract 1.05 from the number (assume the result is y):
x - 1.05 = y

2- Multiply the difference by 0.8 (assume the product is z):
0.8(y) = z

3- add 2.84 to the product (assume the result is w):
z + 2.84 = w

4- divide the sum by 0.01, the quotient is 700:
w / 0.01 = 700

Now, we will work backwards as follows:
4) w / 0.01 = 700
    w = 0.01 * 700
    w = 7

3) z + 2.84 = w
    z + 2.84 = 7
    z = 7 - 2.84
    z = 4.16

2) 0.8y = z
    0.8y = 4.16
    y = 4.16 / 0.8
    y = 5.2

1) x - 1.05 = y
    x - 1.05 = 5.2
    x = 5.2 + 1.05
    x = 6.25

Hope this helps :)
8 0
2 years ago
Read 2 more answers
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x
OLga [1]

Solving an equation means finding the value of x which will make the equation true.

We need to undo whatever is done to x to get it by itself.

4(x-1)-x = 3(x + 5)-11\\Distributing \; 4 \; and \; 3 \; in \; right \; and \; left \; side \; of \; the \; equation\\\\ 4x-4-x=3x+15-11\\Combine \; like \; terms\\\\3x-4=3x+4\\Subtract \; 3x \; on \; both \; sides\\\\3x-3x-4=3x-3x+4\\ Combine \; like \; terms\\\\-4=4

Conclusion:

Since we end up with an equation which is not TRUE, there is NO solution for this equation. If we graph both the equations, they will end up as a parallel lines which will never meet.

4 0
2 years ago
Read 2 more answers
Lois has a balance of $970 on a credit card with an APR of 24.2%, compounded monthly. About how much will she save in interest o
kirill115 [55]
<span>$152.51
y o u r  a n s w e r i s a b o v e
</span>
5 0
2 years ago
Read 2 more answers
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