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saw5 [17]
1 year ago
13

Use point slope form to write the lines with the given slope and point in slope intercept form.m= -1(-5,-4)

Mathematics
1 answer:
lara31 [8.8K]1 year ago
6 0

The slope point form is

y-y1=m(x-x1)

m is the slope

x1, y1 are the coordinates of a point on the line

The slope of the line is -1

m = -1

point (-5, -4) lies on the line

x1 = -5 and y1 = -4

Let us substitute them in the form above

y-(-4)=-1(x-\lbrack-5\rbrack)

Remember (-)(-) = (+)

y+4=-1(x+5)

The equation of the line in the slope-point form is y + 4 = -1(x + 5)

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What is the value of B for the following triangular prism?
damaskus [11]

Step-by-step explanation:

\frac{1}{2} (10)(12) \\  \frac{1}{2} (120) \\ 60 {cm}^{2}

6 0
2 years ago
I’ll give you brainliest for the first person with an answer
raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving <u>162mm^2</u>

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving <u>162mm^2</u>

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get <u>108mm^2</u>.

Area of the rectangle: lw, so 15mm * 9mm = <u>135mm^2</u>

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, <u>378mm^2</u>

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, <u>162mm^2 </u>

Area of the rectangle at the very bottom = lw, 21mm * 9mm = <u>189mm^2</u>

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

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4 0
2 years ago
A rain gutter is made from sheets of aluminum that are 16 inches wide by turning up the edges to form right angles. Determine th
blsea [12.9K]

Answer:

Depth of the rain gutter is 8 inches

Step-by-step explanation:

Let’s assume ‘x’ is the depth of the rain gutter

Then the width of the rain gutter can be written as 16 - 2x

Cross sectional area

A = depth x width

Substitute values

A = x*(16 - 2x)

A = 16x – 2x^2

Now according to axis of symmetry for maximum area x = -b/2a

x = -16/2*(-2)

x = 4 inches depth of rain gutter, substitute the value of x to get

Width of rain gutter 16 – 2(4) = 8 inches

Area of the rain gutter for maximum water flow

A = 4 * 8

A = 32 square inch.

8 0
3 years ago
Simplify<br><br> PLEASE HELP
SCORPION-xisa [38]

Answer: 3.83

Step-by-step explanation:

(2.24)(1.71)

=3.83

I think you just simply solve it

8 0
3 years ago
Please help quick i have 10 minutes
zubka84 [21]
A=6
B= -1/2
C= 11
I had this one on my test and I got it right have a good day
3 0
3 years ago
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