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2 years ago

Write the equation of a line in slope intercept form given; (6,-3), (0, 5)

Mathematics

1 answer:

olganol [36]2 years ago

3 0

Answer:

$y=(-4/3)x+5$

Step-by-step explanation:

so you want to start by using y=mx+b

step one: find the slope (remember m is the slope in this)

m= $\frac{y2-y1}{x2-x1}$

m= $\frac{5+3}{0-6}$

m= $\frac{8}{-6}$

m= - $\frac{4}{3\\}$

step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.

y=mx+b

5= -4/3(0)+b

5=b

step three: rewrite y=mx+b with the values we found for m and for b

$y=(-4/3)x+5$

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there a 158 beats per minute in a certain taylor swift song. if the song is 3 minutes and 30 seconds long, how many total beats

sergiy2304 [10]

Answer is 553 beasts
Step by step:
Multiply 158 by 3 to get 474
Divide 158 by 2 to get 79
Add 474 with 79 and get 553

4 0

2 years ago

A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (

denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

4 0

3 years ago

The amount of an invoice is $1000, with terms 2/10, n45. The amount to be paid within the discount period is:

just olya [345]

Answer:The amount to be paid within the discount period is $980

Step-by-step explanation:

The term 2/10, n45

means that 2% discount is offered if the amount of invoice is paid within 10 days from the date of invoice .

n/45 means that the buyer will pay the full amount within 45 days if he /she does not pay within the discount period of 10 days .

Now if the amount is to be paid within the discount period, the amount will be

Amount to be paid= $1000- 2% of 1000

= $1000-20

=$980

6 0

3 years ago

X<= -2 on a number line

ruslelena [56]

Answer:

$x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}$

Please check the attached number line graph.

The number line clearly indicates that the graph is heading towards negative infinity from -2.

Step-by-step explanation:

Given the inequality expression

x ≤ -2

The inequality symbol ' ≤ ' means 'less than or equal to'.

Thus,

x ≤ -2 means x is less than or equal to -2.

In other words,

$x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}$

Please check the attached number line graph.

The number line clearly indicates that the graph is heading towards negative infinity from -2.

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3 years ago

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k0ka [10]

8/10<span> shots were baskets.

Hope this helped! (:</span>

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3 years ago