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earnstyle [38]
3 years ago
12

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
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