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Alex Ar [27]
2 years ago
10

What is the linear equation that has slope of 5 and pass through the point (-1, -3)?

Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0
What you would do is that you would use the y=mx+b linear equation
m=5
x=-1
y=-3
b=?
hence, you must solve b to have the equation

-3=(5)(-1)+b
-3=-5+b
-3+5=b
2=b
therefore the equation is
y=5x+2

for standard form you just move everything to equal 0 because there is no fraction next to the x
thus

-5x+y-2=0
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6) A climber is on a hike. After 2 hours she is at an altitude of 400 feet. After 6 hours, she is at an
Bas_tet [7]

Answer:

<em>Her rate of change is 75 ft/h</em>

Step-by-step explanation:

<u>Rate of Change</u>

It measures how one quantity varies with respect to another. The second variable usually is the time.

The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).

At 6 hours, she is at 700 ft. This is the point (6,700)

The rate of change is the slope between these two points or the quotient of the variations of each variable:

\displaystyle m=\frac{700\ ft-400\ ft}{6\ h-2\ h}

\displaystyle m=\frac{300\ ft}{4\ h}

m=75\ ft/h

Her rate of change is 75 ft/h

3 0
2 years ago
A pair of shoes usually sells for $66. If the shoes are 40% off, and sales tax is 5%, what is the total price of the shoes, incl
irga5000 [103]
Discount;
66 * 0.4 = 26.40
66 - 26.4 = 39.60

Tax;
66 * 0.05 = 3.30

Total Price:
39.60 + 3.30 = 42.90

$42.90
3 0
3 years ago
Louis has three more quarters than dimes in his pocket, for a total of $1.80. which of the following equation could be used to d
vodka [1.7K]
Number of dimes: x
Number of quarters:  x + 3
Answer:
B ) 0.10 x + 0.25 ( x + 3 ) = $1.80
Also we can solve this equation:
0.10 x + 0.25 x + 0.75 = 1.80
0.35 x = 1.80 - 0.75
0.35 x = 1.05
x = 1.05 : 0.35
x = 3,  x  + 3 = 6
He has 6 quarters and 3 dimes. 
( 6 * 0.25 + 3 * 0.10 = 1.50 + 0.30 = $1.80 - correct)
7 0
3 years ago
Please please help!
Dimas [21]

Answer:

C

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 9) and (x₂, y₂ ) = (3, 1)

d = \sqrt{(3+3)^2+(1-9)^2}

  = \sqrt{6^2+(-8)^2}

  = \sqrt{36+64}

  \sqrt{100} = 10 → C

8 0
2 years ago
U<br>10<br>15list all factors of list all factors of 22 ​
madreJ [45]

Answer:

22 = 1 x 22 or 2 x 11. Factors of 22: 1, 2, 11, 22. Prime factorization: 22 = 2 x 11.`

Step-by-step explanation:

4 0
2 years ago
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