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g100num [7]
1 year ago
9

The line AB is shown on the grid.

Mathematics
1 answer:
Aleksandr [31]1 year ago
6 0

a) The gradient of a line perpendicular to AB is -2.

b) equation of line is y=-2x+6

<h3>What is gradient?</h3>

The gradient is the measure of the steepness of a straight line.

a)The gradient of line is

=(-2-2)/(7+1)

=-4/8

=-1/2

So, gradient of a line perpendicular to AB is  -2

b)The coordinates of mid point (3, 0)

m = -2

So,

0= -6+ b

b= 6

So, equation of line is y=-2x+6

Learn more about this concept here:

brainly.com/question/19465597

#SPJ1

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Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. What fraction of the weekday does Tim sp
White raven [17]

We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.

This means that we need to find the time he spends in sleeping when he is in the school.

Therefore, we have to add the time he spends in sleeping and the time he spends in school.

Therefore, required fraction is given by

\frac{1}{3} +\frac{7}{24}

Now in order to add the fractions, we have to make the denominator same.

Multiply the numerator and denominator of first fraction by 8 to make the same denominator.

\frac{8}{24} +\frac{7}{24}

Now, we have the same denominator hence, we can add the numerator

\frac{8+7}{24}

\frac{15}{24}

Therefore, Tim spends 15/24 hours each weekday sleeping in the school.

3 0
3 years ago
Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.
Dmitry [639]

Answer:

Area=\frac{5}{12}x^2

Step-by-step explanation:

The area of a triangle is given by:

Area=\frac{1}{2}*base*height

From the diagram base=\frac{5}{6}x,and,height=x

We substitute into the formula to get:

Area=\frac{1}{2}*\frac{5}{6}x*x

This implies that:

Area=\frac{5}{12}x^2

3 0
3 years ago
Find the median of 30 , 40, 35, 50 and 55 degrees angle measures
ELEN [110]
We know that
the median <span>is the middle number when listed in order from least to greatest.
</span>
step 1
listed in order from least to greatest
[<span>30,40, 35, 50, 55]--------> [30, 35, 40, 50, 55]

step 2
find the middle number

the middle number is 40

therefore

the answer is
the median is 40</span>°<span>

</span>
6 0
3 years ago
Find the equation of the parabola with vertex (1,3) and focus (1/2,3).
daser333 [38]

Answer:

A (y-3)^2 = -2(x-1) is the correct choice :)


4 0
3 years ago
Hat is the length of AB and AC
lawyer [7]

Answer:

AB = 17, AC = \sqrt{433}

Step-by-step explanation:

Pythagorean's Theorem; A^2 + B^2 = C^2. C is the longest side.

26 - 11 = 15

15^2 + 8^2 = 289

\sqrt{289} = 17

15^2 + 8^2 = 17^2\\

17^2 + 12^2 = 433

5 0
3 years ago
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