Mathematics, 02.11.2020 04:50 ryleerose255

Can someone please help me on 1-6, i got a bad grade in this class.

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Answer from: nickames202otpo7q

Step-by-step explanation:

For these problems involving a straight line, all you need is two points and you can describe the line

#1 the two points are (3, 3) and (-3, -1)

we can use $m = \frac{y_2 -y_1}{x_2-x_1}$ and y = mx + b to describe the line

$m = \frac{3-(-1)}{3-(-3)} = \frac{4}{6} = \frac{2}{3} \\y = \frac{2}{3}(x) +b\\ 3 = 2*(3)/3 + b\\3 = 2 + b\\b = 1\\y = \frac{2}{3}(x)+1$

#2 same process. The two points given are (-2, 1) and (2, -2)

$m = \frac{1-(-2)}{-2-2} = \frac{3}{-4} = \frac{-3}{4} \\y = \frac{-3}{4}(x) + b\\1 = \frac{-3}{4}(-2) + b\\ 1 = 1.5 + b\\b = -\frac{1}{2} \\y = \frac{-3}{4}(x) - \frac{1}{2}$

#3 same process, (-4, 2) and (-1, -4)

$m = \frac{2+4}{-4+1} = \frac{6}{-3} = -2\\ y = -2x + b\\2 = -2(-4) + b\\2 = 8 + b\\b = -6\\y = -2x - 6$

#4 this is a vertical line. If the m were to be calculated, it would be division by 0. These lines can be described by x = n, where n is any real number. In this case, x = 3

#5 same process as earlier (2, -1) and (3, 3)

$m = \frac{4}{1 } = 4\\ y = 4x + b\\3 = 12 + b\\b = -9\\y = 4x - 9$

#6 unlike #4, this is a horizontal line, meaning the slope is zero. No matter what x value, you will always get the same number. In this case, the line is

y = -2

Answer from: Quest

go and ask your mom to you

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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