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IrinaVladis [17]
3 years ago
9

X-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0
The line contains point (2, 0) and (-5, 4).
y - 0 = (4 - 0)/(-5 - 2) (x - 2)
y = -4/7 (x - 2)
7y = -4(x - 2)
7y = -4x + 8
4x + 7y = 8
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The difference of two numbers is 0.77. If the larger number is increased 5 times, then the difference becomes 77. Find the numbe
Lelu [443]

Let the two numbers are x and y

Let larger number = x

and smaller number = y

it means

x-y = 0.77

Now it says larger number is increased 5 times

So it now becomes 5x

So second equation becomes

5x -y =77

Now we have to solve these two equations

x-y = 0.77 and 5x-y = 77

multiply first equation by -1 and then add both equations

-x+y = -0.77

Now on adding we get

-x+5x +y -y = 77-0.77

4x = 76.23

Divide both sides by 4

x=19.0575

We get the larger number , now subtract 0.77 from this , we will get the smaller number

y=19.0575-0.77=18.2875

y=18.2875


Hence the larger number = 19.0575

Smaller number = 18.2875

8 0
3 years ago
Read 2 more answers
Given: circle k(O), m<br> LM<br> = 164°<br> m<br> WK<br> = 68°, m∠MLK = 65°<br> Find: m∠LMW
Semenov [28]

Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ

The angles in any triangle add to 180 degrees in measure, and \angle MLK\congruent\angle MLP and m\angle LMW=m\angle LMP, so that

m\angle MLK+m\angle LPM+m\angle LMP=180^\circ

\implies\boxed{m\angle LMW=67^\circ}

6 0
3 years ago
Cameron is going to an amusement park. The price of admission into the park is $20, and once he is inside the park, he will have
Artyom0805 [142]

Answer:

If he goes on 7 rides he will play $48

The equation if he goes on r rides is $20+$4r

Step-by-step explanation:

4 0
3 years ago
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X²-12x+a=(x+b)² find a and b​
Valentin [98]

Answer:

Step-by-step explanation:

x² - 12x + a = (x + b)²

x² - 12x + a = x² + 2xb + b²

-12 = 2b and a = b²

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a = b² = 36

8 0
2 years ago
1. Rewrite 10^32 • 10^6 using a single exponent
OLga [1]

Answer:

1. 10^(38)

2. total amount = 10^11 or total amount = $100000000000  

Step-by-step explanation:

For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:

1. (10^32)*(10^6)

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10^(38)

2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:

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