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DanielleElmas [232]
4 years ago
6

Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.

Mathematics
1 answer:
Juliette [100K]4 years ago
6 0

Step-by-step explanation:

Given

Slope (m) = 4

Point ( -1 , 5)

Now the equation of line is

y - y1 = m ( x - x1)

y - 5 = 4 ( x + 1)

y - 5 = 4x + 4

4x + 4 - y + 5= 0

4x - y + 9 = 0

which is the required equation

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Priya has a recipe for banana bread. She uses 7/1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same r
wlad13 [49]

Answer:

5b=2f

Step-by-step explanation:

Priya uses 7\dfrac{1}{2} cups of floor to make 3 loaves of banana bread.

Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.

To find the relation between b and f, the steps are as follows :

\dfrac{\text{cups of flour}}{\text{loaves of banana bread}}=\dfrac{7 \dfrac{1}{2}}{3}\\\\=\dfrac{\dfrac{15}{2}}{3}\\\\=\dfrac{15}{2}\times \dfrac{1}{3}\\\\=\dfrac{5}{2}

It means,

\dfrac{f}{b}=\dfrac{5}{2}\\\\5b=2f

So, the relationship between b and f is "5b=2f".

4 0
3 years ago
Read 2 more answers
Use complete sentences to describe why it is valid to say that both a function and its inverse describe the same relationship.
Serhud [2]

Answer:

Step-by-step explanation:

A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse. 

Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse. 

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x. 

So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y

I hope this helped you because i barley understood this myself.

Read more on Brainly.com - brainly.com/question/2834818#readmore

3 0
3 years ago
What must be included in a algebraic expression?
damaskus [11]

Answer:

Variable (or coefficients)

Step-by-step explanation:

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True or False!!!! The measure of a tangent-tangent angle is twice the difference of the measures of the intercepted arcs.
lozanna [386]

answer : False

The measure of a tangent-tangent angle is one - half the difference of the measures of the intercepted arcs.

The diagram is attached below

AB  and BC are the two tangents

By exterior angle theorem

 ∠3 = ∠2 + ∠4

So   ∠2 = ∠3 - ∠4

Now we find angle 3  and 4, we know when a chord and tangent intersect at a point then the measure of angle is one half of measure of intercepted arc

∠3 = \frac{1}{2} * arc(ADC)

∠4 = \frac{1}{2} * arc(AC)

 ∠2 = ∠3 - ∠4

 ∠2 = \frac{1}{2} * arc(ADC)  -  \frac{1}{2} * arc(AC)

∠2 = \frac{1}{2} ( arc(ADC) - arc(AC))

The measure of a tangent-tangent angle is one half the difference of the measures of the intercepted arcs.



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3 years ago
What is the length of the side AC in the triangle above
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