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3 years ago

Which equation describes a line perpendicular to the line described by? y=3x-5

1 answer:

4 0

A line perpendicular means that the slope is the negative reciprocal of the slope given. Since m=3 in the given equation, the slope in the perpendicular line has to be m = -1/3. The y-intercept can be any number.

So a line perpendicular would be y = -1/3x + b

Since you can plug anything into b, you can get many different answers. For example, y = -1/3x + 7 or y = -1/3x - 2

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Triangle ABC has vertices of A(–8 ,8), B(6, 2), and C(–2, 1). Find the length of the median from C in triangle ABC

babunello [35]

The length of the median from vertex C is equal to √17. As a median of a triangle is a line segment joining a single vertex to the midpoint of the opposite side of the triangle. In this case, the median will be from vertex C to the mid-point of the triangles side AB. Thus, we can work out the length of the median from vertex C by using the Midpoint formula; M(AB) = (X∨1 + X∨2) /2 ; (Y∨1 + Y∨2) /2 . Giving us the points of the midpoint of side AB, which can be plotted on the cartesian plane. to find the length of the median from vertex C, we can use the distance formula and the coordinates of the midpoint and vertex C , d = √(X∨2 - X∨1) ∧2 + (Y∨2 - Y∨1)∧2.

4 0

3 years ago

You must calculate the number of sheets of plywood needed for subflooring. Each sheet of plywood measures 4'by 8. The measuremen

snow_lady [41]

Answer:

25 sheets of plywood will be needed

Step-by-step explanation:

Each sheet of plywood measures $4ft*8ft=32ft^{2}$ .

We have to cover the surface of the house, minus the surface of the hole of the stairs.

$Surface _{to cover} = Surface _{house} -Surface _{hole}= (28ft*30ft)-(12ft*4ft)= 840ft^{2}-48ft^{2}=792ft^{2}$

To know how many sheets will be needed, we divide the surface to be covered by the surface of each sheet

$Sheets_{needed} =\frac{Surface _{house}}{Surface _{sheet}} =\frac{792ft^{2}}{32\frac{ft^{2}}{sheet} } = 24,75 sheets$

As we can't buy 0,75 of a sheet, we round it up, i.e. we will need 25 sheets of plywood for subflooring.

8 0

3 years ago

Use the spinner below for each of the following

spayn [35]

The answer is : impossible

3 0

3 years ago

F(x)=4x squared −7x+7, Find f(2)

Lana71 [14]

Answer: 9

Step-by-step explanation:

4x²-7x+7 f(2)=4*(2)^2-7(2)+7=16-14+7=9

7 0

3 years ago

Someone help me please

galben [10]

Answer:

∛27 = 3

Step-by-step explanation:

A radical is simply a fractional exponent: $a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }$

Hence, ∛27 = $27^{(\frac{1}{3})}$

Since 27 = 3³, then:

You could rewrite ∛27 as ∛(3)³.

$\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}$

Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the multiplicative inverse of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

Therefore, ∛27 = 3.

3 0

2 years ago

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