Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
Answer:
£2121.80 he would have earned £121.80
Step-by-step explanation:
2000 × 1.03 = £2060
2060 × 1.03 = £2121.80
(2 Year's)
£2121.80 - £2000 = £121.80
Answer:
NE = 8 cm
Step-by-step explanation:
Radius OA = OE = 5 cm
In right triangle OAN, OA² + AN² = ON²
5² + 12² = ON²
ON² = 25 + 144 = 169
so ON = 13 cm
NE = ON - OE = 13 - 5 = 8 cm
Answer:
4/9 is bigger
Step-by-step explanation:
For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4
9 × 4 = 16/36
Likewise, for the 2nd fraction, since 36 × 1 = 36,
7/36= 7 × 1
36 × 1 = 7/36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
16/36> 7/36 or 4/9 > 7/36
Answer:
C
Step-by-step explanation:
To solve this use the equation 
given in the problem and the value y = 50. Substitute y = 50 then solve for x by factoring.
Find two numbers which multiply to -100 and also add to -15. The numbers are -20 and 5.
So the factored form is (x-20)(x+5) = 0.
Set each factor equal to 0 and solve.
(x-20) = 0 so x = 20.
(x+5)=0 so x = -5.
This means the temperature is 20 degrees C or -5 degrees C. Only 20 is an option. The solutions is C.
