Answer:
Step-by-step explanation:
a * b = 50
a + b = 15.....a = 15- b
(15- b)*b= 50
15b- b^2-50 = 0
-b^2+15b-50=0
(−b+5)(b−10)=0
−b+5=0 or b−10=0
b=5 or b=10
your numbers are 10 and 5
10 * 5 = 50
10 + 5 = 15
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Answer:
False
Step-by-step explanation:
It is false because the absolute value signs mean that |-3| is actually positive 3. Absolute values are always positive. So, now you have 3 is less than or equal to 0, which is false because 3 is greater than 0.
This question is not complete because it lacks the attached diagram of the triangular prism and the options were not written correctly.
Find attached to this answer the appropriate diagram.
Complete Question
Which could be the area of the base of the triangular prism?
[Not drawn to scale)
• 6 ft²
• 10 ft²
• 12 ft²
• 20 ft²
Answer:
6ft²
Step-by-step explanation:
The formula for the base area of a triangular prism is given as:
Area of the base = √s(s-a) (s-b) (s-c)
Where s = (a+b+c)/2
From the attached diagram,
a = 5ft
b = 3ft
c = 4ft
s= (5ft + 3ft + 4ft) ÷ 2
s = 6ft
Area of the base = √ 6( 6-5) (6-3) (6-4)
= √6(1)(3)(2)
= √36
= 6ft²
Therefore, the area of the base of the triangular prism is 6ft²
You need to use pythagorean theorem to find x
97^2 = 9409
65^2 = 4225
4225 + b^2 = 9409
b^2 = 5184
b = 72
then you need to add 65 and 72 to get 137
137 - 95 = 42
42 kilometers closer
Answer:
Option C is correct.
Step-by-step explanation:
y = x^2+4x+5
We need to find the vertex of the above equation.
The above equation represents the parabola.
The slope of parabola can be found by taking derivative of the given equation
dy/dx = 2x+4
The slope of the parabola at the vertex is zero SO,
2x+4 = 0
2x = -4
x = -4/2
x = -2
Putting value of x =-2 to find the value of y
y = x^2+4x+5
y =(-2)^2+4(-2)+5
y = 4-8+5
y =9-8
y = 1
So, the vertex is (-2,1)
Option C is correct.
