5k3-3k+7-(-2k3+k2-9)
basically rewrite with simple algebra principles
15k-3k+7-(-6k+2k-9)
split up the parenthesis
15k-3k+7+6k-2k+9
sort them
15k-3k+6k-3k+7+9
short down by adding up the similar factors
answer: 18k+18
factorise
18(k+1)
both forms are right
Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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Answer:
|−∣=7
Explanation:
∣−∣
= |(-2-5)|
= |-2-5|
= | -7|=7
Answer:
The correct answer is 2.912 cm.
Step-by-step explanation:
A company is designing a new cylindrical water bottle.
Volume of a cylinder is given by π ×
× h, where h is the height of the cylinder and r is the radius of the cylinder.
The volume of each bottle will be 211
.
The height (h) of the water bottle be 7.9 cm.
Let the radius of the bottle be r cm.
∴ π ×
× h = 211 ; (π = 3.15)
⇒
× 24.885 = 211
⇒ r = 2.912
The radius of the water bottle is 2.912 cm.
Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
<em>M=(-1,-1) ----- Missing part of question</em>
Required
Determine the coordinates of D
<em>Let the coordinates of D be (x₂,y₂)</em>
<em>We'll solve this question using mid point formula;</em>
<em></em>
<em></em>
<em>Where</em>
and 
Put these values in the formula

By comparison;
and 

Multiply both sides by 2

Subtract 2 from both sides



Multiply both sides by 2

Subtract 7 from both sides


<em>Hence, the coordinates of D is (-4,-9)</em>