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3 years ago

What is the slope of the line that passes through (3,-7) and (-1,1)

Mathematics

1 answer:

Anna [14]3 years ago

5 0

Answer:

-2

Step-by-step explanation:

slope formula is (y2-y1)/(x2-x1)

1 - -7 / -1 - 3

8 / -4

-2

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Graph this function: y =3/4x - 4 (you can just put the cordinants)

Aloiza [94]

I’m assuming 3/4x is a fraction
the coordinates are (0,-4) and (4,-1)

5 0

2 years ago

Constance's car has a 12-gallon gas

antiseptic1488 [7]

Answer:

7.5 hours

Step-by-step explanation:

Constance's car has a 12-gallon gas tank.

She can travel 25 miles on one gallon of gas, so she can travel

$25\cdot 12=300$ miles using all gas from the tank.

Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.

So, Constance can drive for

$300 : 40=7.5$ hours.

3 0

3 years ago

On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snoho

tamaranim1 [39]

Answer: the bridge is 11.025 m high

Step-by-step explanation:

Given that;

Time taken to hit the water t = 1.5 sec

height of bridge = ?

lets take a look at the equation of motion;

y(t) = y₀ + (1/2)at²

with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s

we substitute

y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²

y(1.5) = 11.025 m

Therefore, the bridge is 11.025 m high

4 0

2 years ago

What is the answer and how do you solve <br><br><br> 21x^3/3x^−1

Sunny_sXe [5.5K]

Answer:

as written: 7x^2

perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

$\dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2$

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

21x^3/(3x^-1)

then the simplification is ...

$\dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4$

_____

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^b/a^c = a^(b-c)

6 0

3 years ago

If r = 9, b = 5, and g= −6, what does (r + b − g)(b + g) equal?

r-ruslan [8.4K]

Answer:

-20

Step-by-step explanation:

(r + b − g)(b + g)

we have fom statement:

r = 9

b = 5

g= −6

so we have:

(r + b − g)(b + g)= (9+5-(-6))*(5+(-6))

(r + b − g)(b + g)= (14+6)*(-1)

(r + b − g)(b + g)= -20

8 0

3 years ago