Answer:
1. The slope of the line is 
.
2. The value of a is 18.
Step-by-step explanation:
If a line passes through two points, then the slope of the line is
(1)
It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is
The slope of the line is .
(2)
If the line passing through the points (a, 1) and (6, 5), then the slope of the line is
If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is
The slopes of two parallel lines are same.
On cross multiplication we get
Divide both sides by -2.
Therefore the value of a is 18.
Answer:
12-12
Step-by-step explanation:
hope this helps tell me if it's right
Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base = 
= 
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base = 
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead = 
= 
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
<span>At simple interest:
10% = 5,000, 000 x 10/100 = 5,000,000 x (1/10) =$500,000
spread over 8 years = 8 x $62,500
monthly interest payment = $62,500/12=$5208.33
Smart decision: has to at least break-even, if not generate more than the total interest repayment. </span>
Answer:
Yes, Shelby is correct.
Step-by-step explanation:
Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.
