Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)

Answers

Answer 1
Answer:

The point-slope form:

y-y_1=m(x-x_1)

We have the point (1, 6) and the slope m = 7/3. Substitute:

y-6=(7)/(3)(x-1)      use distributive property

y-6=(7)/(3)x-(7)/(3)          add 6 to both sides

y=(7)/(3)x+(11)/(3)        multiply both sides by 3

3y=7x+11           subtract 7x from both sides

-7x+3y=11         change the signs

7x-3y=-11

Answer:

point-slope form: y-6=(7)/(3)(x-1)

slope-intercept form: y=(7)/(3)x+(11)/(3)

standard form: 7x-3y=-11


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Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4? –5 with multiplicity 2 and 1/3 with multiplicity 4
5 with multiplicity 2 and 1/3 with multiplicity 4
–5 with multiplicity 2 and 0 with multiplicity 4
5 with multiplicity 2 and 0 with multiplicity 4

Answers

we have

f(x)=3x^(6)+30x^(5)+75x^(4)    

Find the zeroes of the function

f(x)=3x^(6)+30x^(5)+75x^(4)  

f(x)=3x^(4)(x^(2)+10x+25)

 f(x)=3x^(4)(x+5)^(2)  

The zeroes of the function are

x=-5 -------> with multiplicity 2

x=0 -------> with multiplicity 4

therefore      

the answer is the option

–5 with multiplicity 2 and 0 with multiplicity 4    

see the attached figure

The right answer for the question that is being asked and shown above is that: "–5 with multiplicity 2 and 0 with multiplicity 4" This is the statement that describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4.

HELP PLEASE ASAP!!!!! BRAINLIEST+20 POINTS!!!!!!!Which statements are true about parabolas represented by the equation
y=ax²+bx+c?
Select four that apply.
If a>0, then the parabola opens up.
If a>0, then the parabola has a minimum.
If a<0, then the parabola opens down.
If a>0, then the parabola has a maximum.

Answers

C. If a<0, then the parabola opens down

Ava's wages were $985.50. What is the amount after 15% Federal Withholding income tax is deducted? Round to the nearest cent.

Answers

985.50 multiplied by .15 then subtract the answer from 985.50 and that is your remainder

Plz help will mark as brainliest​

Answers

i am pretty sure it is B because x is the slope in a graph and 1 can be 1/1 and parrarel means opposite so opposite of x axis is y.
opposite of 1/1 on x axis is opposite of 1/1 on y

The last question is to find the area


need help ASAP​

Answers

Answer:

12 cm²

Step-by-step explanation:

A= 1/2ah

h= 6*sin 30° = 6*1/2= 3 cm

A= 1/2*3*8= 12 cm²

A train running at a speed of 108 km/h crosses a pole in 32 seconds . the length of train is ?

Answers

Answer:

Given speed of train = 108 km/hour ⇒ Speed of train = 108 × 5/18 = 30 m/sec Since, we know that Distance = Speed × time ⇒ Distance = 30 × 32 = 960 m ∴ Length of train is 960 m

Step-by-step explanation:

Final answer:

The length of the train is calculated by using the formula 'distance = speed * time'. After converting the speed from km/h to m/s, we find that the length of the train is 960 meters.

Explanation:

To answer your question, we'll need to use the concept of speed in physics. Speed is essentially distance covered per unit of time. Since we are given that the train is running at a speed of 108 km/h and it crosses a pole in 32 seconds, we can use these metrics to find the length of the train, as the train length is the distance covered when the train crosses the pole.

First, we need to convert the speed from km/h to m/s, as we need the answer in a standard form. 1 km = 1000 m, and 1 hour = 3600 seconds. So, 108 km/h = 108 * 1000 m/3600 s = 30 m/s.

Next, we use the formula 'speed = distance/time'. Here, we need to find the distance (or the length of the train), so we rearrange that formula to get 'distance = speed * time'. That means, the length of the train = speed of the train * time taken to cross the pole = 30 m/s * 32 s = 960 m.

So, the length of the train is 960 meters.

Learn more about Finding train length here:

brainly.com/question/35914053

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