1) work out the size of angle x 2) give reasons for your answer

Mathematics

1 answer:

MaRussiya [10]2 years ago

8 0

80 degrees. Angle CBD and angle BFH are corresponding so they are equal. Angles on a straight line add up to 180 degrees. 180-100=80

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What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

Stells [14]

Answer: The slope of the line is $\frac{1}{2}$

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, given the points $(-3, 5)$ and $(1, 7)$ , you can identify that:

$y_2=5\\y_1=7\\\\x_2=-3\\x_1=1$

Knowing these values you can substitute them into the formula for calculate the slope:

$m=\frac{5-7}{-3-1}$

Finally, evaluating, you get that the slope of that line is:

$m=\frac{-2}{-4}\\\\m=\frac{1}{2}$

8 0

3 years ago

The graph of a linear function intersects with the x axis at a point with an abscissa of 4 and with the y axis at a point with a

goldenfox [79]

We know that

points are
x intercept
A (4,0)

y intercept
B (0,11)

step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4

with m and the point B (0,11)
y-y1=m*(x-x1)y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11

the answer is
the formula of the function is y=-(11/4)x+11

see the attached figure