9514 1404 393
Answer:
6
Step-by-step explanation:
You will recognize that these points both have the same x-coordinate, so are on the vertical line x=2. The distance between them will be the difference of the y-coordinates:
6 - 0 = 6
The points are 6 units apart.
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If you like, you can use the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
The values of these parameters are ...
x1 = 2, y1 = 0
x2 = 2, y2 = 6
Then the distance is ...
d = √((2 -2)² +(6 -0)²) = √(0 +36) = 6
The distance between the points is 6 units.
Answer:
B) f(x) = -3/5x +5
Step-by-step explanation:
There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.
The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.
The slope, the change in y divided by the change in x for two points, is ...
... (-1 -2)/(10 -5) = -3/5
This is the slope and the coefficient of x in the linear equation.
Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:
... y = mx + b
... y = (-3/5)x + 5
<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
Answer:
The dimensions are approximentaly 17.44.
Step-by-step explanation:
= x2 + 7x + 10
= 196 + 7x + 10
= 196 + 98 + 10
= 294 + 10
= 304 yards squared
Answer:
£156.24
Step-by-step explanation:
Ben worked for 12 hours.
Total = Normal working hours + overtime working hours
12 hours = 9 hours + 3 hours
Ben is paid £12.40 per hour(normal working hours)
he is paid overtime for the additional hours at a rate of 1.2 times his normal rate of pay.
Amount earned Overtime = 1.2 × £12.40
= £14.88
Total amount earned for 12 hours of work = 9(£12.40) + 3(£14.88)
= £111.60 + £44.64
= £156.24
Total amount earned for 12 hours of work = £156.24