Answer:
980 Km
Step-by-step explanation:
Calculate the speed of the car from the table
speed =
Using any value from the table , say distance = 140 , time = 2 hours , then
speed = = 70 Km per hour
distance = speed × time
= 70 × 14
= 980 Km
What we know:
shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance
we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.
perimeter=2l+2w
What we need to find: PERIMETER
Using pythagorean method a² +b²=h² to find length:
From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.
a² +b²=h²
(9)²+(9)²=h² substitution
81+81=h² simplified
162=h²
√162=√h2 used radical properties
√162=h length =√162
Using pythagorean method a² +b²=h² to find width:
From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.
a² +b²=h²
(3)²+(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h this is the width=√18
Now we find perimeter:
p=2l+2w
p=2(√162)+2(√18)
p≈33.9
D. 33.9 units
Answer:
- The effect of the negative sign is that it reflects the graph of the function over the x-axis.
- That means that the graph that represents such function is a parabola that opens downward, being its vertex the maximum of the graph.
Explanation:
The vertex form of a parabola is y = A (x - h)² + k.
The values of A, h, and k means the following:
- A > 0 the parabola opens upward and the vertex is a minimum,
- A < 0 the parabola opens downward and the vertex is a maximum.
- A cannot be equal to zero.
- | A | > 0 the parabola is stretched vertically.
- | A | < 0 the parabola is compressed vertically.
- The vertex of the function is the point (h, k).
So, for the given function you have:
- A = - 1/2, so the parabola opens downward and the vertex is the maximum.
- Also, since |A| < 1 means that the parabola is compressed vertically.
- The vertex is (1, 3), so the maximum of the function is 3 and it happens at x = 1.
Hey there! Let’s solve the question first.
(6^4)^-3= 4.593 or 4.6
The reason behind this, 6^4=1296^-3
And 1269^-3= 4.593 or 4.6
Hope this helps!
Answer:
Step-by-step explanation:
To find the slope, use the equation
where (-1, 7) and (4, -1) is (x1, y1) and (x2, y2) respectively.
Hence, the slope will be
Simplify:
or