Answer:
5 units
Step-by-step explanation:
Step one:
Given data
Le the first number be x
and the second number be y
So
x*y= 10-----------------1
and
x+y= 7-----------------2
from eqn 1
x= 10/y
put x= 10/y in eqn 2

cross multiply we have

rearrange

the factors of the quadratic expression are
-5 and -2

The longest side is 5 units
First way: 1 doubled is 1+1, which is 2. 2 increased by 10 equals 12.
Second way: 1 doubled is 1*2, which equals 2. 2 increased by 10 equals 12.
Answer:
<h2>x = 7 cm</h2>
Step-by-step explanation:
The perimeter of the given triangle:
P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.
Therefore we have the equation:
2x + 1 + x + 2 + 3x - 9 = 36 <em>combine like terms</em>
(2x + x + 3x) + (1 + 2 - 9) = 36
6x - 6 = 36 <em>add 6 to both sides</em>
6x = 42 <em>divide both sides by 6</em>
x = 7
Answer:
ABD ≅ ACD and PQS ≅ PRS
Step-by-step explanation:
For ABD ≅ ACD;
AB = AC = 3.5
BD = CD = 2.5
AD ≅ AD by reflexive
Since all 3 sides are congruent, SSS can be used
For PQS ≅ PRS
PQ≅PR by given
QS≅RS by given
PS≅PS by reflexive property
Since all 3 sides are congruent, SSS can be used and they are congruent
Answer:
no solution
Step-by-step explanation:
Given
4 + 7x = 7(x + 1) ← distribute
4 + 7x = 7x + 7 ( subtract 4 from both sides )
7x = 7x + 3 ( subtract 7x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution