Solve for the roots in simplest form using the quadratic formula: 4x^2+5=−12x
1 answer:
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The length of the KN is 4.4
Step-by-step explanation:
We know from Pythagoras theorem
In a right angle ΔLMN
Base² + perpendicular² = hypotenuse ²
From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.
Hence ∠LKM = ∠NKM = 90 °
Given values-
LM=12
LK=10
Let KN be “s”
⇒LN= LK + KN
⇒LN= 10+x eq 1
Coming to the Δ LKM
⇒LK²+MK²= LM²
⇒MK²= 12²-10²
⇒MK²= 44 eq 2
Now in Δ MKN
⇒MK²+ KN²= MN²
⇒44+s²= MN² eq 3
In Δ LMN
⇒LM²+MN²= LN²
Using the values of MN² and LN² from the previous equations
⇒12² + 44+s²= (10+s) ²
⇒144+44+s²= 100+s²+20s
⇒188+s²= 100+s²+20s cancelling the common term “s²”
⇒20s= 188-100
∴ s= 4.4
Hence the value of KN is 4.4
Answer:
Part a) The raisins cost $0.8 per ounce
Part b) 1.25 ounces
Step-by-step explanation:
<u><em>The correct question is</em></u>
Jackson bought 5 ounces of raisins for $4 dollars.
a) How much do raisins cost per ounce?
b) How many ounces of raisins can be bought for $1?
Part a) How much do raisins cost per ounce?
we know that
To find out the unit rate divide the total cost by the total weight
so
therefore
The raisins cost $0.8 per ounce
Part b) How many ounces of raisins can be bought for $1?
we know that
The raisins cost $0.8 per ounce
using proportion
Find out how many ounces of raisins can be bought for $1
Let
x -----> the ounces of raisins