Answer:
2/3 = 5/8
Step-by-step explanation:
If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor
In this problem
2/3 = 5/8 -----> is not true
therefore
The figures are not similar
Answer:
Option A, Shannon paid $ 7 per hour to labor than Joni
Step-by-step explanation:
Total amount paid by Shannon = $339.50
Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)
Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5
Total cost of 1 hours of labor paid by Shannon $65 per hour
Total amount paid by Joni = $455
Total cost of 2.5 hours of labor paid by Joni = $455- $$310
Total cost of 1 hours of labor paid by Joni = $145/2.5
Total cost of 1 hours of labor paid by Joni = $ 58
Hence, Shannon paid $ 7 per hour to labor than Joni
Option A is correct
Answer:
(
10
,
0
)
,
(
−
1
,
0
)
Step-by-step explanation:
becasue
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+
)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Answer:
D
Step-by-step explanation:
(3x³ - 10x² + 13x) - (5x³ + 4x² - 9x)
3x³ - 10x² + 13x - 5x³ - 4x² + 9x Change all terms after the subtraction sign to
the opposite sign (definition of Subtraction)
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x) Group like terms together
-2x³ - 14x² + 22x