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Andrew [12]
4 years ago
14

Find the slope of a line passing through the given points. 2,5) and (4,-7) help me

Mathematics
1 answer:
LekaFEV [45]4 years ago
7 0

<em>-7 -5 / 4 -2 / -12/2 </em>

<em>-12/2 = -6 </em>

<em>Slope: -6x </em>

<em>5 = 2(-6) + b</em>

<em>5 = -12 + b </em>

<em>-12 + 17 = 5 </em>

<em>Slope intercept Form: y = -6x + 17</em>

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Find the value of c that makes x^2–6x + c a perfect square trinomial and write as a binomial squared.
denpristay [2]

Answer: 9

Step-by-step explanation:

Given

The function is x^2-6x+c

To make it a perfect square, compare it with (a-b)^2=a^2+b^2-2ab

Here,

x=a,\\-6x=-2ab\\\\\therefore b=3

So, c must be square of b i.e. 9

x^2-6x+c\Rightarrow x^2-6x+9\\\Rightarrow (x-3)^2

Therefore, value of c is 9.

3 0
3 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
7 0
3 years ago
It takes Dwight 1 1/3 hours to run the sunshine trail. Mike 3 1/5 hours to walk the same trail. How many times as long does it t
Anit [1.1K]

For this case we convert the mixed numbers to fractions:

Dwight:1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33

Mike:3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2

It is observed, that in fact, Mike takes more time to travel the road.

We subtract to know how much more time it takes Mike:

\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}

So, Mike takes \frac {28} {15} hours more than Dwight to walk the road.

Answer:

Mike takes\frac {28} {15}hours longer than Dwight to walk the road.

7 0
3 years ago
True of false? the slope of thia equation is zero <br>y=x+5<br>​
Ugo [173]

Answer:

false

Step-by-step explanation:

no solution

5 0
3 years ago
Read 2 more answers
.Bryan was given the equation y= -5x+3. He says the rate of change is 3 and the initial value is -5. Is Bryan correct? If not, c
Mekhanik [1.2K]

Answer:

Correct rate of change is -5; correct initial value is 3.

Step-by-step explanation:

The rate of change is the coefficient of the x term, which here is -5.  So Bryan has the rate of change wrong.

The initial value of the function is found by letting x  =  0.  Here, we get

y = -5(0) + 3, or y = b = 3.  The initial value is 3, not -5.

8 0
3 years ago
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