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ale4655 [162]
3 years ago
9

Write the standard form of the equation of the line through the given point with the given slope. Simplify as much as possible.

Mathematics
2 answers:
Mashutka [201]3 years ago
6 0

Answer:

y =-\frac{2}{3} x - \frac{2}{3}

Step-by-step explanation:

Equation of line in point slope form is given as

y-y_1=m(x-x_1)

Here

m=-2/3 and (x_1, y_1)=(-1, 0)

Equation of the line passing through the point (-1, 0) with slope -2/3 is

y-0=-\frac{2}{3} (x-(-1))

y =-\frac{2}{3} (x+1)

y =-\frac{2}{3} x - \frac{2}{3}

adoni [48]3 years ago
4 0

Answer:

y = -2/3x - 1

Step-by-step explanation:

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Mike wants to make meatloaf. His recipe
Eduardwww [97]

Answer:

1 1/4 pounds.

Step-by-step explanation:

The ratio of beef to pork is 3:1. What this means is that out of the 5 pounds of meat Mike will use for his meatloaf, 3 parts of it will be beef and 1 part will be pork, which gives us four parts total.

So the ratio of pork to total meat would be 1:4, or 1/4. Now we need to multiply 5 by 1/4 in order to get the amount of pork. Since multiplying by 1/4 is the same as dividing by 4, we can just divide to make things simpler.

p = 5 \times  \frac{1}{4}  \\ p =  \frac{5}{4}

The answer, expressed as an improper fraction, is 5/4. However, the question is asking for a mixed number, so we'll need to convert our answer. We just need to subtract from the numerator so that the fraction is equal to 4/4.

\frac{5}{4}  -  \frac{4}{4}  =  \frac{1}{4}

Since 4/4 is equivalent to 1, we'll just simplify this further.

p =  \frac{4}{4}  +  \frac{1}{4}  \\ p = 1 \frac{1}{4}

3 0
3 years ago
Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
olganol [36]

Answer:

The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.

Step-by-step explanation:

Since, we are given f(x) = square root x.

The sequence of transformations which transform f(x) into g(x) is given by:

1. Reflection across y-axis i.e. f( x ) to f( -x )

2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )

3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )

4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).

The step by step graphical representation can also be viewed below.

5 0
3 years ago
What is the meaning of absolute value?
Marina86 [1]
How far a number is from 0             For example the <span>absolute value of -2 is 2</span>
5 0
3 years ago
Read 2 more answers
A blank is a relationship that can written be as y= kx, where k is a
Irina-Kira [14]
Direct variation.....k is a non-zero costant
4 0
3 years ago
What is the common ratio for the geometric sequence 3,12,48,192
My name is Ann [436]
Okay, so try dividing a2 from a1 (to find geometric ratio, divide a2 from a1 :) )
12 ÷ 3 = 4
See if the other numbers have the same geometric ratio.
48 ÷ 12 = 4
192 ÷ 48 = 4
The common ratio is 4.
7 0
3 years ago
Read 2 more answers
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