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professor190 [17]
3 years ago
14

What is the equation of this graphed line?

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

y=-\frac{9}{8} x+7

Step-by-step explanation:

The slope is found by doing the equation \frac{rise}{run}. When looking at the first two points, it's shown that the rise (difference between the two y values) is -9 (since it decreased by 9) and the run (difference between the two x values) is 8 (since it increased by 8). This makes the slope equal -\frac{9}{8}.

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

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Factor 8x+16y+44 i offered up 15 points
belka [17]

Find the Greatest Common Factor (GCF)

GCF = 4

Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF.)

4(8x/4 + 16y/4 + 44/4)

Simplify each term in parenthesis

<u>= 4(2x + 4y + 11) </u>

4 0
3 years ago
Read 2 more answers
Which glide reflection describes the mapping ABC DEF​
almond37 [142]

Answer:

1. Reflect ABC about the line AC and then translate 1 unit to the right.

2. Translate ABC 1 unit to the right and then reflect it about the line AC.

Step-by-step explanation:

We are given that,

ABC is transformed using glide reflection to map onto DEF.

Since, we know,

'Glide Reflection' is the transformation involving translation and reflection.

So, we can see that,

ABC can be mapped onto DEF by any of the following glide reflections:

1. Reflect ABC about the line AC and then translate 1 unit to the right.

2. Translate ABC 1 unit to the right and then reflect it about the line AC.

Hence, any of the two glide reflection will map ABC onto DEF.

6 0
4 years ago
Read 2 more answers
Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t
malfutka [58]

Answer:

  • P(t)=37\times (4)^{(t/9.1)}

Explanation:

The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>

Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:

Start:        37 letters

  • In 9.1 weeks: 37 × 4

  • In 2 × 9.1 weeks: 37 × (4)²

  • In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

   P(t)=37\times (4)^{(t/9.1)}

3 0
3 years ago
You get tired of the sand and head up to the amusement park. You can purchase 20 ride tickets for $14 or you can purchase 30 rid
Helga [31]

Answer:

The one with the better deal would be 30 ride tickets for $22.50 this is because you pay less money for more rides.

Step-by-step explanation:

First you divide 20 by 14. Doing this will give you the cost of a ride per ticket.

20/14 = 1.42

Then you do the same thing to 30 and 22.50.

30/22.50 = 1.30

Last you compare which deal has less money per ride.

1.42 > 1.30

5 0
4 years ago
Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to
blondinia [14]

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

3 0
3 years ago
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