is it factorisatiom or solving equation?
Step-by-step explanation:
2m² + 2m - 12 divide the equation by 2
then: m² + m - 6
factorise: (m + 3)(m - 2)
solve m + 3 =0 or m - 2 =0
m= -3 or m = 2
Answer: He rode 4.8 miles each day.
Variable: x = Constant distance distance traveledd each day.
Equation : 10+5x=34
Step-by-step explanation:
Total distance needs to travel = 34 miles
Distance already traveled = 10 miles
He will ride bicycle for 5 more days.
Let x = Constant distance distance traveledd each day.
Total distance = 10+5x
i.e.

Hence, he rode 4.8 miles each day.
Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
a) The vertices A, B, C of a triangle are (2, -1, -3), (4, 2, 3) and (6, 3, 4) respectively. Show that AB = (2,3,6) and AC = 9.
Sav [38]
Answer:
... a triangle are 2,-1,-3 4,2,3 and 6,3,4 respectively. If vector AB=2,3,6 vector AC=4,4,7 vector BC=2,1,1 , show that AB=7 AC=9 and BC= square root of 6.
Answer:
The line of symmetry is x = 3
Step-by-step explanation:
To find the line of symmetry in this case, use the base formula for vertex form.
y = a(x - h) + k
In this formula, h is the line of symmetry. In this case, h is 3.