Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
Answer:
Let x be the number of silver medals.
As there were two more gold medals than silver ones, gold medals are x+2
We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.
Now, we can do an equation, as we know there were a total of 28 medals:
x + x + 2 + x + x + 2 - 4 = 28
And we isolate x:
4x = 28
x = 28/4 = 7
There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).
Pls mark Brainliest.
Answer:
A. 36/42
Step-by-step explanation:
What do you multiply 7 by to get 42?
6. That is what the denominator was multiplied by, and so, the equivalent fraction must have a numerator that is 6 times larger than the original.
6 is the numerator so the numerator of the equivalent fraction with denominator 42 must be 36 since 6 * 6 = 36/
A. 36/42
Answer:
B. -4
Step-by-step explanation:
The function only has one y-value: -4. That is the entirety of its range.
Answer:
The polynomial is 
Leading coefficient is 1
Step-by-step explanation:
We need to determine the leading coefficient of polynomial p having roots
-1,1 and 2 and p(3)=24
Roots of polynomial are: -1,1,2
We can write them as:
x=-1, x=1, x=2
x+1=0, x-1=0, x-2=0
or:
(x+1)(x-1)(x-2)=0
Multiplying the terms to find the polynomial:
So, The polynomial is
The leading coefficient is the coefficient with highest power So, in polynomial we have highest power 
so, leading coefficient is 1
