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Gnesinka [82]
3 years ago
6

The given line passes through the points (-4,-3) and (4,

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

first we gotta find the slope of the first line

(-4,-3),(4,1)

slope = (y2 - y1) / (x2 - x1) = (1- (-3) / (4 - (-4) = (1 + 3) / (4 + 4) = 4/8 = 1/2

so the slope is 1/2.....so we are looking for a line that is perpendicular....perpendicular lines have negative reciprocal slopes...all that means is flip the slope and change the sign....so the slope we need is :

1/2....flip it....2/1.....change the sign....-2.....we need a -2 slope

y - y1 = m(x - x1)

slope = -2

(-4,3)...x1 = -4 and y1 = 3

now sub

y - 3 = -2(x - (-4) =

y - 3 = -2(x + 4) <=====

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3 years ago
the direction angle for vectors 135° the X component of the vector is -3 what is the Ywhat is what what is the Y component of th
blagie [28]
Well, the X component (assuming x is the horizontal) is equal to RCosZ

Where Z is the angle and R is the size of the resultant

Substitute into formula :

X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)

The vertical component (or Y component) is equal to RSinZ

Vertical component = RSinZ
= 4.24264... × Sin135°
= 3

The answer is 3

Please feel free to ask any questions you have
3 0
3 years ago
Six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?​
Shtirlitz [24]

Answer:

1200 packets of tea

Step-by-step explanation:

Its because theres 1000 grams in 1kg so it would be 600000 grams and you would divided 600000 over 500 and get 1200

Can you mark brainlyist?

5 0
2 years ago
Read 2 more answers
Cara has $25 to buy dry pet food a pound of dog food costs $2 and treats are $1 apiece if she buys 9 pounds of food the greatest
zzz [600]

Cost of each pound of dog food = $2 .

Total cost of 9 pounds of dog food = 9 * 2 = $18.

Let us assume number of treats she can buy = t.

Cost of each treat = $1.

Cost of t number of treats = 1*t = 1t .

Total money Cara has = $25.

We can setup an inequality as,

Total cost of dog food + total cost of t number of treats ≤ 25.

18 + 1t ≤ 25.

Subtracting 18 from both sides, we get

18 + 1t -18  ≤ 25-18.

1t ≤ 7 or t ≤ 7.

So, she can purchase 7 or less treats.

5 0
3 years ago
Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.
vesna_86 [32]

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

W = \dfrac{1}{2}kx^2

x = 0.39 - 0.30 = 0.09 m

5 = \dfrac{1}{2}k\times 0.09^2

k = \dfrac{5\times 2}{0.09^2}

k = 1234.568 N/m

a) work when spring is stretched from  32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

W = \dfrac{1}{2}k(x_2^2-x_1^2)^2

W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2

W = 0.741 J

b) F = k x

  25 = 1234.568 × x

     x = 0.0205 m

     x = 2.05 cm

3 0
3 years ago
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