Answer:
Ivan got £90 more than Tanya.
Step-by-step explanation:
Ivan and Tanya share the amount £150 in the ratio of 4 : 1
Amount received by Ivan = 
= 
= £120
Similarly, amount received by Tanya = 
= £30
Difference in their amounts = 120 - 30
= £90
Therefore, Ivan got £90 more than Tanya.
Answer
11a + 4a= 15a
3x + 6 +7x -4 = 12x
-12m -3 + 4m + 16 = 29m
6k-4+k-2 =4K
3+13-5p-2p =9p
I think these are the answers please don’t get mad if they are not hope I help :)
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
On the right side we have st which is the same as s*t or s times t
We want to undo the multiplication that is happening to s, so we have to divide both sides by t
d = s*t
d/t = s*t/t ..... divide both sides by t
d/t = s
s = d/t
Answer: Choice A)
<h3>hello!</h3>
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Parallel lines have the same slope.
So if the given line has a slope of 3, then the line parallel to it has the same slope (3)
Now, let's write the equation of the line in Point-Slope Form.
Remember, point-slope form looks like so:-

Where
y₁ is the y-coordinate of the point that the line passes through
m is the slope
x₁ is the x-coordinate of the point that the line passes through
In this case,
y₁ is equal to -8
m is equal to 3
x₁ is equal to 1
Plug in the values:

Simplify:

and we're done!
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<h3>note:-</h3>
Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)