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3 years ago

The sum of a number and its ____________ is zero.

Mathematics

1 answer:

arsen [322]3 years ago

8 0

Negative counterpart

5 + -5 = 0

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A flower bed is in the shape of a triangle, with a base of 15 feet and a height of 9 feet. What is the area of the flower bed?

babymother [125]

C) 67.5 square feet.

3 0

3 years ago

Read 2 more answers

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps. put the answer in units²

AlladinOne [14]

Answer:

Therefore the Area of Rhombus ABCD is 36 unit².

Step-by-step explanation:

Given:

ABCD is a Rhombus

A = (-1,0)

B = (5,-3)

C = (-1,-6)

D = (-7 ,-3)

To Find:

Area of Rhombus ABCD = ?

Solution:

We know that Area of Rhombus is given as

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times d_{1}\times d_{2}$

Where ,

d₁ and d₂ are the Diagonals.

We have,

Diagonals as AC and BD,

Using Distance Formula we get

$l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting coordinates A and C we get

$l(AC) = \sqrt{((-1-(-1))^{2}+(-6-0)^{2} )}=\sqrt{36}\\l(AC)=6\ unit$

Similarly for BD we have,

$l(BD) = \sqrt{((5-(-7))^{2}+(-3-(-3))^{2} )}=\sqrt{144}\\l(BD)=12\ unit$

Now Substituting AC and BD in Formula we get

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times AC\times BD$

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times 6\times 12=36\ unit^{2}$

Therefore the Area of Rhombus ABCD is 36 unit².

6 0

3 years ago

Simplify: a²b⁵c<br> ______<br> a⁴bc³

Darya [45]

Answer:

$\frac{b ^{4} }{a ^{2}c ^{2} }$

Step-by-step explanation:

when dividing subtract the exponents

4 0

3 years ago

A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.5

OLga [1]

X songs
Y games

A) 8X + 3Y = 20.50
B) 4X + 5Y = 22.50

Multiplying equation B) by -2
B) -8X -10Y = -45.00 then adding this to
A) 8X + 3Y = 20.50 we get
-7Y = -24.50
Y = 3.50

I think you can calculate X right?

8 0

3 years ago

Can someone check this for me?

Tresset [83]

Inside the square root shouldn't be negative, so x must be negative in order to form positive number inside the root.

if x = 0, y = 0
if y = -1, y = -1
if y = -4, y = -2
if y = -9, y = -3

the points lie on the graph (0,0), (-1,-1), (-4,-2), (-9,-3)

7 0

3 years ago