SOLUTION:
Step 1:
In this question, we are meant to:
Translate the following word phrases to an algebraic expression and simplify:
“8 times the difference of 6 times a number and 3”
Step 2:
Assuming the unknown number be y, we have that:
CONCLUSION:
The final answer is:
1. x = -4 ; f(x) = -(-4) = 4
2. x = -3 ; f(x) = 2(-3) + 1 = -5
3. x = 0 ; f(x) = 2(0) + 1 = 1
4. x = 2 ; f(x) = 2 + 3 = 5
5. x = 5 ; f(x) = 5 + 3 = 8
Answer:
6.5 cm
Step-by-step explanation:
From Pythagoras theorem
C^2= a^2 + b^2
Where a, b are the sides of the triangle
C= hypotenus sides of the triangle
two sides are given as 1.6 cm and 6.3cm respectively.
C^2= 1.6^2 + 6.3^2
C^2= 2.56 + 39.69
C^2 = 42.25
C= √42.25
C=6.5 cm
Hence, the length of the hypotenuse is 6.5 cm
Answer:
Neither
Step-by-step explanation:
Since we only know the measure of the angles, we can only say the triangles are similar, not congruent. We need at least one side measurement on each triangle to determine if the triangles are congruent. And it would have to be the same side measurement. Then we could use ASA (Angle side Angle) or AAS ( Angle Angle side) to determine congruence.
The triangles are similar
62+39 +79 = 180
The three angles are the same
<A = 62 = <X = 62
<B = 39 = <Y = 39
<C = 79 = <Z = 79
This is shown by AAA similarity
Answer: (x,y) = (1,6)
Step-by-step explanation:
