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user100 [1]
3 years ago
11

Which of the following is the equation of a line parallel to the line y = -x + 1,

Mathematics
1 answer:
Lynna [10]3 years ago
5 0

Answer:

Step-by-step explanation:

y = -x + 1.....slope here is -1. A parallel line will have the same slope

y = mx + b

slope(m) = -1

(4,1)....x = 4 and y = 1

now we sub and find b, the y int

1 = -1(4) + b

1 = -4 + b

1 + 4 = b

5 = b

so ur equation is : y = -x + 5.....rearrange  = x + y = 5 <==

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3 0
3 years ago
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In ΔDEF, the measure of ∠F=90°, FE = 21, DF = 20, and ED = 29. What is the value of the cosine of ∠E to the nearest hundredth?
luda_lava [24]

Answer:

43.60°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29

As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side

Cosine ∠E = 21/29

∠E = cos-1 0.724137931

∠E = 43.60° to the nearest hundredth

8 0
3 years ago
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What is the equvilent fraction of 7•4 OVER 1002•9
galina1969 [7]
14 over 4509 would be an equvilent fraction
7 0
3 years ago
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What are the domain and range of the function f(x) = log(x-4)-3?
faust18 [17]

For the given logarithmic function, we have:

domain: (4, ∞).

range: (-∞, ∞).

<h3>How to determine the domain and range of the function?</h3>

For a function y = f(x), the domain is the set of the possible input values, and the range is the set of the possible output values.

Here we have the function:

f(x) = log(x - 4) - 3

First, we know that the range of logarithmic functions is the set of all real numbers.

We also know that the argument of logarithmic functions can only be larger than zero.

So the domain is defined by x > 4.

Then we have:

domain: (4, ∞).

range: (-∞, ∞).

If you want to learn more about domain and range.

brainly.com/question/10197594

#SPJ1

5 0
2 years ago
How to find the unknown constant between two expressions.
Sergeu [11.5K]

Answer:

Step-by-step explanation:

This is called a 'System of equations'.

Say that you have these two expressions, and the unknown is "b".

5b = y

4b+2 = y

Now we can solve two ways; graph it or solve it.

Solving it, we can see that they both equal y, so:

5b=4b+2

move 4b to the left side by subtraction:

(5b-4b) =2

b = 2

let's see what y equals when b = 2

5 * 2 = y

10 = y

Graphing it we see they intersect, or solve at

(2,10) or b=2, y=10

Hope this helps!

7 0
3 years ago
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