Answer:
The original number could be 85.
Step-by-step explanation:
Let the 2 digits be x and y.
Let the number be xy then, assuming that x is the larger digit:
x - y = 3.
x = y + 3
Also
10y + x + 10x + y = 143
Substituting for x:
10y + y + 3 + 10(y + 3) + y = 143
22y + 33 = 143
22y = 110
y = 5.
So x = y + 3 = 8.
Answer:
see below
Step-by-step explanation:
9 ^-5 * 9^-3
When multiplying these we ADD the exponents:
9^-5 * 9^-3
= 9^(-5 + -3)
= 9 ^-8
= 1/9^8 Option A
2. 2^14 / 2^7 This is a division so we SUBTRACT the exponents:-
= 2^(14 - 7)
= 2^7 (answer)
3. If the triangle is a right angled one then it will obey Pythagoras Theorem so:-
13^ = x^2 + 5&2
x^2 = 13^2 - 5^2
x^2 = 144
x = 12 (answer)
4. The last choice is a crucial step.
The total area of the triangles is the same in both large squares so the area of the large square e^2 = a^2 + b^2 ( the 2 squares in the left side large square).
Answer:
(1, 9/2) or (1, 4.5)
Step-by-step explanation:
To find the midpoint, take the x1 and x2 values and divide it by 2, same for the y values.
(4-2)/2 and (6 + 3)/2
1 and 4.5
(1, 4.5)
Question 3. The true statements are:
4g2 – g = g2(4 – g) ⇒ should be: 4g² - g = g(4g - 1)
9g3 + 12 = 3(3g3 + 4) ⇒ should be: 9g³ + 12 = 3(3g³ + 4) TRUE
24g4 + 18g2 = 6g2(4g2 + 3g) ⇒ should be: 24g⁴ + 18g² = 6g²(4g² + 3)
<span>35g5 – 25g2 = 5g2(7g3 – 5) </span>⇒ should be: 35g⁵ - 25g² = 5g²(7g³ - 5) TRUE
Question 4. Completely factored.
16y⁵ + 12y³ = 4y³(4y² + 3) FACTORED COMPLETELY
18y³ - 6y = 6y(3y² - 1)
20y⁷ + 10y² = 10y²(2y⁵ + 1)
32y¹⁰ - 24 = 8(4y¹⁰ - 3) FACTORED COMPLETELY
Answer:
b: Normal Distribution
Step-by-step explanation:
