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3 years ago

Give the equation of the line through the point ( - 10,9) with a slope of -1/5

Mathematics

1 answer:

hichkok12 [17]3 years ago

7 0

Equation of the line in slope-intercept form is y = -1/5 x + 9

Step-by-step explanation:

Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.

⇒ y = -1/5 x + b ------ (1)

Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)

⇒ 9 = -1/5 × -10 + b = 2 + b

⇒ b = 9 - 2 = 7

Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.

⇒ y = -1/5 x + 7

It can also be written as 5y + x = 35

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Answer:18 ways

Step-by-step explanation:

Given

There are three color available for truck i.e. red, turquoise and green

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Also there are 3 color available for interior

So no of ways in which a customer can choose a truck is

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3 years ago

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Answer:

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2 years ago

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(12x6) - (3x2) how do you write in words to match the expression?

notka56 [123]

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3 years ago

Two sides of a triangle measure 8cm and 12cm which can not be the measure of the third side?

seraphim [82]

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3 years ago

Someone please help asap! I will mark as brainliest, thank you!!

madreJ [45]

Answer:

19 square units

Step-by-step explanation:

Hello!

Step 1: Plot the points

We are first going to plot the points on the coordinate graph and connect the points to create a shape.

Refer to attachment titled "Step 1"

Step 2: Box the shape

Since this is an irregular shape, I'm going to make a box around the shape and subtract the area of the empty spaces to find the area of the original polygon.

Refer to attachment titled "Step 2"

Step 3: Area of Edges

We are going to find the area of the shapes A, B, and C and subtract them from the area of the big box to find the area of the polygon.

Area of a triangle = 1/2(base x height)

Area of Box = 6 un x 7 un
Area of Box = 42 un²

Area of A:

Area A = 1/2(4 un x 2 un)
Area A = 1/2(8 un²)
Area A = 4 un²

Area of B:

Area B = 4 un x 4 un
Area B = 16 un²

Area of C:

Area C = 1/2(2 un x 3 un)
Area C = 1/2(6 un²)
Area C = 3 un²

Step 4: Area of the polygon

Now, we can simply subtract the values of A, B, and C from the box to get the area of the polygon.

Area Polygon = Box - A - B - C
Area Polygon = 42 un² - 4 un² - 16 un² - 3 un²
Area Polygon = 38 un² - 16 un² - 3 un²
Area Polygon = 22 un² - 3 un²
Area Polygon = 19 un²

The area of the polygon is 19 un²

-Chetan K

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2 years ago