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3 years ago

What is the equation of a line that passes through (-6, 2) and has a slope of `-(1)/(2)` ?

Mathematics

1 answer:

Blizzard [7]3 years ago

5 0

Answer:

B. `y = - (x)/(2) -1`

Step-by-step explanation:

The slope of the line = $\frac{-1}{2}$

So the general format of the line equation will be $y=\frac{-1}{2}x + c$

Also given that the line passes through the point (-6,2).

Substituting the values in the equation of the line,

$2=\frac{-1}{2}*(-6) + c$

$=> 2=3 + c$

$=> c = -1$

So the line equation is $y=\frac{-1}{2}x -1$

Among the given options, option B is the correct one.

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A triangle has the following two angle measures:

Vitek1552 [10]

Answer:

62°

Step-by-step explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

$41 + 77 + x = 180$

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: $118 + x = 180$

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: $x = 62$

Therefore, the third angle must have a measure of 62°.

5 0

3 years ago

A circular pond 24 yd in

Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

$Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd$

Now, area of the pond is given as:

$A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2$

Area of the complete path including the pond area is given as:

$A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2$

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

$A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2$

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0

3 years ago

Read 2 more answers

What is the value of x in the equation x .0825x = 6.38

morpeh [17]

X=8.79393730,-8.79393730

3 0

3 years ago

sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it

Vikki [24]

Congruent= the same shape and size.

area of the rectangle before it is divided=8*(area congruent rectangle)
area of the rectangle before it is dividide=8*(5 cm²)=40 cm²

Area of the rectangle before it is dividide=40 cm²

5 0

4 years ago

PLEASE HELP MEEEEE!!!!!!!

OverLord2011 [107]

Answer:

Cheese: $4\frac{3}{8}$
Milk: $1\frac{2}{3}$
Pasta: $6\frac{1}{4}$

Step-by-step explanation:

Cheese:

$1\frac{3}{4} = \frac{7}{4}$
Set up a proportion: $\frac{\frac{7}{4} }{4} = \frac{x}{10}$
Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375
$4.375 = 4\frac{3}{8}$

Milk:

Set up a proportion: $\frac{\frac{2}{3} }{4} = \frac{x}{10}$
Cross multiply, then divide: 10 × 2/3 = $6\frac{2}{3}$ , $6\frac{2}{3}$ ÷ 4 = $1\frac{2}{3}$

Pasta:

$2\frac{1}{2} = \frac{5}{2}$
Set up a proportion: $\frac{\frac{5}{2} }{4} = \frac{x}{10}$
Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25
$6.25 = 6\frac{1}{4}$

I hope this helps!

4 0

3 years ago