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3 years ago

What is the slope of the line through (6,9) and (7,1)

1 answer:

6 0

Slope of (6, 9) & (7, 1)

To find the slope, we use the equation : m = y₂-y₁ / x₂-x₁

**Remember : m = slope**

Let's say that (6, 9) is our first set of points, and (7, 1) is our second.

If those are our first and second points, then we now know this :

x₁ = 6, x₂ = 7, y₁ = 9, y₂ = 1

Now that we know that, we can simply plug those points into our slope equation.

m = y₂ - y₁ / x₂ - x₁

m = (1 - 9) / (7 - 6 )

Simplify.

m = -8 / 1

Simplify.

m = -8

So, our slope is -8.

~Hope I helped!~

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Someone please help!

USPshnik [31]

Here are the log properties you need:
$log(ab) = log(a) +log(b) \\ \\ log(\frac{a}{b}) = log(a) - log(b) \\ \\ log(a^n) = n log(a)$

6 0

2 years ago

4. At a school fair, 30% of the pies sold had cheese filling, 25% had beef filling and the remaining 90 pies had potato filling.

astra-53 [7]

Answer:

Step-by-step explanation:

a) Percentage of potato filling = 100 - (30 + 25) = 100 - 55 = 45 %

b) Let the number of pies sold = x

45% of x = 90

$\dfrac{45}{100}*x=90\\\\\\x=90*\dfrac{100}{45}\\\\\\x=2*100\\$

Number of pies = 200

c) Number of cheese filling = 30% of 200

$=\dfrac{30}{100}*200\\\\= 30*2\\\\\\= 60$

Number of beef pies = 25% of 200

$=\dfrac{25}{100}*200\\\\\\=25*2\\\\= 50$

Difference = 60 - 50 = 10

There are 10 more cheese pies than beef pies.

6 0

2 years ago

A company offers premium cable for 39.95 per month plus a one time setup fee. The total cost of 6 months of service is 264.70. W

ss7ja [257]

Answer:

Total cost = 983.8

Step-by-step explanation:

Monthly charge = 39.95

One time set up fee = x

Number of months = y

Total cost = x + 39.95y

The total cost of 6 months of service is 264.70.

264.70 = x + 39.95(6)

264.70 = x + 239.7

264.70 - 239.7 = x

x = 25

Total cost = 25 + 39.95y

Write and solve a linear equation to find the total cost for 2 years of service

2 years = 24 months

Total cost = 25 + 39.95y

= 25 + 39.95(24)

= 25 + 958.8

= 983.8

Total cost = 983.8

6 0

3 years ago

Need help i havent done this since 2015 :// lolz

scoray [572]

21. In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).
m∠R = m∠P = 180° -m∠Q
m∠Q = 107°
m∠P = 73°

25. If you draw any diagonal, it divides the figure into two congruent triangles (by the SSS postulate). Corresponding angles are congruent, so the diagonal is a transversal between parallel lines. Thus opposite sides are parallel and the figure is a parallelogram.

27. Opposite sides are equal, and the diagonals bisect each other. Your four equations are
2w+4 = 5w-6 . . . . w = 10/3
12 = 3x-3 . . . . . . . x = 5
6y = 4y+6 . . . . . . . y = 3
27 = (5/4)z +2 . . . z = 20

7 0

3 years ago

Read 2 more answers

A ball is thrown into the air with an upward velocity of 44 ft/s. It’s height h in feet after t seconds is given by the function

MAVERICK [17]

9514 1404 393

Answer:

1.375 seconds
35.25 feet

Step-by-step explanation:

A quadratic function y=ax^2 +bx +c is symmetric about the vertical line x=-b/(2a). That is the x-coordinate of the vertex (maximum or minimum).

Here, we have ...

h = -16t^2 +44t +5

t = -44/(2(-16)) = 11/8 = 1.375

It takes 1.375 seconds for the ball to reach its maximum height.

The height at that time is ...

h = (-16(11/8) +44)(11/8) +5 = (-22 +44)(11/8) +5 = 121/4 +5 = 141/4 = 35.25

The maximum height is 35.25 feet.

5 0

3 years ago