Answer:
AB = 2
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 3, - 4) and (x₂, y₂ ) = B(- 1, - 6)
AB =
=
=
= = 2 ≈ 2.83 ( to 2 dec. places )
Answer:
They should add gallons of the store-bought lemonade.
Step-by-step explanation:
Given that,
Two friends make 2 gallons of lemonade containing 30% lemon juice.
The amount of lemon juice in 2 gallons of lemonade is
= 30% of 2 gallons
gallons
Let they added x gallons of store-bought lemonade that contains 20% lemon juice.
The amount of lemon juice in x gallons of lemonade is
= 20% of x gallons
gallons
Now the total amount of lemon juice in the mixture is
gallons
gallons
Total amount of lemonade is = (2+x) gallons.
The percentage of lemon juice in the lemonade is
According to the problem,
⇒ 60+20x= 23(2+x)
⇒60+20x= 46+23x
⇒23x-20x= 60-46
⇒3x=14
gallon
They should add gallons of the store-bought lemonade.
PH ranges from 0 to 14, with 7 being neutral. pHs less than 7 are acidic while pHs greater than 7 are alkaline. ANSWER: false
Answer:
ASA rule.
Step-by-step explanation:
See the diagram with the problem.
Given that Δ ABC and Δ ABD are congruent i.e. Δ ABC ≅ Δ ABD.
Now, we have to select the rule by which we can say that Δ ABC and Δ ABD are congruent.
Given in the figure that between Δ ABC and Δ ABD,
(i) ∠ CAB = ∠ BAD
(ii) AB is the common side, and
(iii) ∠ ABC = ∠ ABD
Therefore, by Angle-Side-Angle i.e. ASA rule we can say that Δ ABC ≅ Δ ABD.
Hence, option 2 is correct. (Answer)
<u>Answer-</u>
<em>The </em><em>exponential model</em><em> best fits the data set.</em>
<u>Solution-</u>
x = input variable = number of practice throws
y = output variable = number of free throws
Using Excel, Linear, Quadratic and Exponential regression model were generated.
The best fit equation and co-efficient of determination R² are as follows,
<u>Linear Regression</u>
<u>Quadratic Regression</u>
<u>Exponential Regression</u>
The value of co-efficient of determination R² ranges from 0 to 1, the more closer its value to 1 the better the regression model is.
Now,
Therefore, the Exponential Regression model must be followed.