Answer:
Step-by-step explanation:
This is written in vertex notation, meaning that (c,d) is the vertex. We know that c is positive and d is negative, meaning the vertex will be in the 4th quadrant. As for whether the parabola opens upwards or downwards, the quadratic term has a positive coefficient of 1, meaning the parabola opens upwards.
Hope this helps!
Answer:
£0.50
Step-by-step explanation:
t = one cup of tea
c = one piece of cake
t + c = £1.10
2t + c = £1.70
the cost increases by £0.60 (£1.70 - £1.10) when you order one more cup of tea which means that one cup of tea costs £0.60
substitute £0.60 into t + c = £1.10
£0.60 + c = £1.10
rearrange to get c = £1.10 - £0.60 = £0.50
so one piece of cake costs £0.50
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
Answer:
14.4 to nearest tenth.
Step-by-step explanation:
By the Pythagoras theorem:-
Distance = √ [ (y2-y1)^2 + (x2-x1)^2 ] where the 2 points are (x1,y1) and (x2,y2)
= √ [ (16-4)^2 + (9-1)^2]
= √ 208
= 14.4
Answer:
D. No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
