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sasho [114]
3 years ago
11

I need help with this question, Thanks!

Mathematics
1 answer:
Kryger [21]3 years ago
3 0
1. 50+35=85
2. 60+12=82
3.5x+35
4. 6x+12
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Please I need help!
Monica [59]

Answer:

1)

\text{ Slope = -3}

2)

y+4=-\frac{7}{8}(x-7)

3)

y=-\frac{7}{8}x+\frac{17}{8}

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

m=\frac{3-(-4)}{-1-7}

Subtract. So, our slope is:

m=\frac{7}{-8}=-7/8

2)

Now, let's use the point-slope form:

y-y_1=m(x-x_1)

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

y-(-4)=-\frac{7}{8}(x-7)

Simplify. So, our point-slope equation is:

y+4=-\frac{7}{8}(x-7)

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

y+4=-\frac{7}{8}x+\frac{49}{8}

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}

Subtract. So, our slope-intercept equation is:

y=-\frac{7}{8}x+\frac{17}{8}

And we're done!

7 0
3 years ago
Read 2 more answers
How many 5 minutes intervals are there in 1 ¼ hours?​
katrin [286]

Answer:

1 1/4 hours=60+15 minutes =75 minutes

hence, 75 divided by 5 = 15 five minutes intervals:)

Ans: 15 five minutes intervals

4 0
3 years ago
Read 2 more answers
A total of 160 children play in the city soccer league and 64 of the players are girls what percent of the players are girls
monitta

Answer:

40 percent of the children that play soccer are girls in the league

Step-by-step explanation:

just divide 64/160 and get 40

6 0
3 years ago
Read 2 more answers
Ethan is saving money in his piggy bank for his upcoming trip to Disney World. On the first day, he put in $12 and plans to add
PSYCHO15rus [73]

Answer:

A

12+7x=a

x=days

a=amount of money

B 12+7x=a

Step-by-step explanation:

7(18)=126

12+126=a

138=a

7 0
3 years ago
Read 2 more answers
For the following​ sequence, determine if it is an arithmetic​sequence, a geometric​ sequence, or neither. If it is either arith
uysha [10]

Answer: An arithmetic sequence is of the form:

aₙ = a₀ + (n -1)*d

So the difference between a term and the nextone is always the same, and in our case the numbers are 5,8,13,21,34,55.

The distance between the numbers is not constant, so this is not a arithmetic sequence.

a geometric sequence is of the form: aₙ = a*rⁿ

So the therms grow exponentially.

here a₀ = a*r⁰ = a = 5.

a₁ = a*r¹ = 5*r = 13, then r = 13/5 = 2.6

a₂ = a*r² = 5*2.6*2.6 = 33.8, so here we can see that this is not our series, so our series isn't geometric.

So the answer for the first part is neither.

Now, the sequence is  5,8,13,21,34,55, ...

you can see that

5 + 8 = 13

13 + 8 = 21,

21 + 34 = 55

So our sequence is of the form: aₙ = aₙ₋₁ + aₙ₋₂.

then, the next term will be: 55 + 21= 76.

4 0
3 years ago
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