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mash [69]
3 years ago
8

given line passes through the points (-4, -3) and( 4, 1) what is the equation in point slope form of the line that's perpendicul

ar to the given line and passes through the point (-4,3)
Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

y= -2x-5

Step-by-step explanation:

First find the gradient of the first line

m =  \frac{y2 - y1}{x2 - x1}

m=

\frac{1 -  - 3}{4 -  - 4}

m=

\frac{4}{8}

m=1/2

From this we can find the gradient of the perpendicular line, or the normal.

m1 × m2 = -1

Replace m1 with 1/2

1/2 × m2 = -1

m2= -2

Substitute values into

y-y1=m (x-x1)

y-3=-2 (x+4)

y-3=-2x -8

y=-2x-5

atroni [7]3 years ago
3 0

Answer:

y + 3= one- fourth (x +4

Step-by-step explanation:

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All of them plz I need help if ur older Shouldnt be hard
vfiekz [6]

Answer:

The answer for number 1 would be 57 dollars and 80 cents

Number two would be little ceasars

Number 3 would be 75 dollars and 60 cent

Number 4 would be 40 dollars and 80 cent

Number 5 would be 110 dollars and 98 cents

Step-by-step explanation:

Because of you take 68 and times it by 15% which would be .15 you would get 10.2 you would then take 68 and subtract 10.2 from it and get 57.8

Number 2: take 7.50 times it by .3 and you get 2.25 then subtract 2.25 from 7.50 and you get 5.25 so even with the coupon little ceasars pizza is still 25cent cheaper

Number 3: add 42 to 28 and you get 70. 8% of 70 is 5.6 so add 5.6 to 70 and you have your answer of 75.60

Number 4: 35.48 is the price alone. Times that number by .15 and you get 5.322. Add 35.48 and 5.322 to get 40.802 but for money wise you just need the 40.80

Number 5: 118 one again is the price standing alone but 118 multiplied by .10 is 11.8 so subtract 11.8 from 118 and you get 106.2 but there is still a sales tax. So 106.2 times .045 or 4.5% would be 4.779, add that number to 106.2 and you get 110.979. Now the problem did not say anything about rounding but the 9 would make the 7 an 8 so of you do that you get 110.98.

So to help you in the future when dealing with percentages with discounts and tax’s. if it’s a discount once you times the original number by the percentage you subtract the sum from the original number. As for taxes you do the same process but instead of subtracting you add

5 0
3 years ago
How do you show work for 831÷4
Annette [7]

The answer will be 207 with a remainder of 3. I attached my paper work for you to see the actual steps.


8 0
3 years ago
Read 2 more answers
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a
Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0
3 years ago
What is 6ft to 4 yards as a fraction in simplest form
Vesna [10]
1yard =3ft so 》 6ft/4×3ft=6/12=1/2
3 0
4 years ago
Help plzzz!!!<br><br> Find a<br><br> a= 12<br> a= 10<br> a= 1<br> a= 29
RideAnS [48]

Answer:

a=22.6549

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 0.99484 rad = 57°

a = c·sin(A)/sin(C) = 22.6549

b = c·sin(B)/sin(C) = 12.33874

3 0
3 years ago
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