Answer:
(x + 6)(x - 4)
Step-by-step explanation:
x² + 2x - 24
(x + 6)(x - 4)
-4 and +6 multiply to 24 and add to +2.
Answer:
Slope is -2/9 and y intercept is (0,2)
Step-by-step explanation:
The length of the line segment SR is 15 units.
<h3>How to find the length of a line segment?</h3>
In Δ SRQ as seen in the attached image, we see that;
∠SRQ is a right angle
SQ is the hypotenuse
RT ⊥ SQ
Thus, by triangular rules, we know that;
(RQ)² = TQ × SQ
RQ = 20 units and TQ = 16 units
Thus;
(20)² = 16 × SQ
400 = 16 × SQ
SQ = 400/16
SQ = 25 units
By using Pythagoras theorem in Δ SRQ, we have;
(SR)² + (RQ)² = (SQ)²
RQ = 20 units and SQ = 25 units
Thus;
(SR)² + (20)² = (25)²
(SR)² + 400 = 625
(SR)² = 225
SR = √225
SR = 15 units
The length of the line segment SR is 15 units.
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Answer:
Olivia has 240.
Step-by-step explanation:
Amelia took 36 and there were 288 left over. A ratio of 1:5 with 288 would be 48 and 240 so therefore, Olivia has 240.
So x and y
sum means add
difference means subtract
so we have
x+y=55 times (x-y)
use distributiver property which is
a(b-c)=ab-ac so
distribute 55(x-y)
55(x-y)=55x-55y
so we have
x+y=55x-55y
add 55y to boh sides
x+56y=55x
subtract x from both sides
56y=54x
divide both sides by 2
28y=27x
to find the ratio, switch the numbers around
ratio of y:x=27:28
therefor x is the greater number
ratio of larger to smaler is
28:27