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Lady bird [3.3K]
3 years ago
7

Write the equation of the line in point-slope form that passes through (1, -4) and has a slope of 1/4

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0
Hello!

Point-slope form is y-b=m(x-a), where m is the slope and (a, b) is a point on the graph.

You are given the slope (\frac{1}{4}) and a point on the graph (1, -4), so you can just substitute the values into the form, like so:

y-(-4)= \frac{1}{4} (x-1)

Simplify:

y+4= \frac{1}{4} (x-1)

And that's it!

Answer:
y+4= \frac{1}{4} (x-1)
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The Answer Is , 2.5-1.4 = 1.1
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∣x∣=−5<br> find an absoulute value
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5

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Andy is collecting pocket change for a fundraiser. he begins with 102 coins in the cup, and their monetary value is $17.10. if h
Ira Lisetskai [31]

If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.

Given number of coins Andy has is 102 and montary value of all coins is $17.10.

We have to determine number of dimes and quarters.

1 dime=$0.10

1 quarter=$0.25

Suppose the number of dimes be x and number of quarters be y.

The equations are:

0.10x+0.25y=17.10------------1

x+y=102-------------2

from equation 2, y=102-x

Put the value of y=102-x in equation 1

0.10x+0.25(102-x)=17.10

0.10x+25.5-0.25x=17.10

-0.15x=17.10-25.5

-0.15x=-8.4

x=8.4/0.15

x=56

Put the value of x in y=102-x

y=102-56

y=46

Hence Andy has 56 number of dimes and 46 quarters.

Learn more about equation at brainly.com/question/2972832

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5 0
2 years ago
Geometry, Triangle in a circle. Find X show work and explain please
nikklg [1K]

Answer: x=7

Step-by-step explanation:

By the Intersecting Secants Theorem, we know that:

(5)(x+5)=(6)(6+4)

Having this, we can find the value of "x" by solving for "x":

Applying Distributive property:

(5)(x+5)=(6)(24)\\5x+25=60

Subtract 25 from both sides of the equation:

5x+25-25=60-25\\5x=35

And finally dviding both sides of the equation by 5, we get:

\frac{5x}{5}=\frac{35}{5}\\x=7

7 0
3 years ago
How many ways can you add 3 non-negative integers so the sum is less than 10?
klasskru [66]
0+1+9, 0+2+8, 0+3+7, 0+4+6, 0+5+5 gives 27 ways including permutations.
1+1+8, 1+2+7, 1+3+6, 1+4+5 gives 21 ways.
2+2+6, 2+3+5, 2+4+4 gives 12 ways
3+3+4 gives 3 ways
With permutations this gives 27+21+12+3=63 ways.
6 0
3 years ago
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