What we are given:
*equation
* intercepts (4,7)
All we have to do is plug in what we know:
Y= 3x + 6
x=4 and y= 7
NEW EQUATION:
7= 3(4) + 6
7= 12+6
7= 18
then divide 18 by 7
18/7= 2.5
Answer:
Part A: WORK(Below) Part B: WORK (Below)
1) 2(2x-3)+2(x+4)=50 1) (2x-3) (x+4)
2) 4x-6+2x+8=50 2) 2(8)-3 (8+4)
3) 4x+2x+2=50 3) 16-3= 13 12
4) 6x+2=50 13* 12
-2 -2 Answer= 156
5) 6x=48
6 6
6) Answer: x=8
Step-by-step explanation: (PART A BELOW)
Step one (1): Multiply 2 times 2x and -3 multiply 2 times x and 2 times 4
Step four (4): Subtract -2 from 2 and 50
Step five (5): Divide 6x=48 by 6
Step Six (6): Answer: x=8
Step-by-step explanation: (PART B BELOW)
Step one (1): x equals to 8
Step Two (2): 2 times 8 which equals to 16 subtract -3
Step Three (3): 16-3=13
Step Four (4): (x+4)
Step Five (5) (8+4)=12
Step Six (6): 13 times 12
Step seven (7): <em>Answer: 156 </em>
<u><em>What is the Lenght and Width of the Graden?</em></u>
156<u><em> </em></u>
1) The perimeter is the sum of the lengths of the straight edge (the diameter of the semicircle) and the length of the arc of the semicircle.
The circumference of a 4 ft circle is
π*diameter = π*4 ft ≈ 12.566 ft
The semicircle will have a length that is half that, 6.283 ft. When this length is added to the diameter, the perimeter is found to be
Perimeter = 4 ft + 6.283 ft ≈ 10.3 ft.
2) The area of a circle is given by the formula
A = (π/4)d²
For a diameter of 15 inches, the area is
A = (π/4)(15 in)² = 56.25π in²
A ≈ 176.7146 in²
The area of the circle is about 176.71 in².
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Isosceles Triangle Theorem
Angle Addition
Given
Definition of Bisector
Substitution
Angle Addition
Given
Definition of Bisector
Substitution
Substitution
Division Property of Equality
Reflexive Property
Angle-Side-Angle Congruence*
CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
Answer:
17.85
Step-by-step explanation:
just times 5.95 by 3