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avanturin [10]
3 years ago
8

Find a ordered pair to represent a in the equation a=b+c if b= (6,3) and c =(-4,8)

Mathematics
1 answer:
Vilka [71]3 years ago
6 0

Answer:

So ordered pair a is (2,11)

Step-by-step explanation:

We are given

a = b+c

and ordered pair b =(6,3) and ordered pair c =(-4,8)

Putting values of b and c in the given equation and adding x and y coordinates of b and c we can find ordered pair a.

a=(6,3)+(-4,8)

a =(6-4,3+8)

a =(2,11)

So ordered pair a is (2,11)

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A hiker is at an elevation of meters from sea level. Which statement would explain the hiker’s movement if they want to get back
ElenaW [278]

Answer:

It would be 92 up

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Cantaloupes are on sale at four different stores. Which store offers the lowest unit rate for cantaloupes, in dollars per pound?
dusya [7]

Given :

Fresh Farm: $4.50 for 5 lbs

Fruit Garden: $1/5 for 1/3 lb

Mother Nature: $4 for 5 lbs

Country Market: $0.85 per pound

To Find :

Which store offers the lowest unit rate for cantaloupes, in dollars per pound.

Solution :

Dollar per pound of each store :

Fresh Farm : 4.50/5 = $0.9 per pound

Fruit Garden: (1/5)/(1/3) = $0.6 per pound

Mother Nature: 4/5 = $0.8 per pound

Country Market: $0.85 per pound

From above we can see that Fruit Garden offers lowest unit rate.

Hence, this is the required solution.

7 0
4 years ago
Given the right triangle shown below.if Cos A =15/17 and tan A=8/15 which of the following represents the length of BC
otez555 [7]

Answer:

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

Step-by-step explanation:

Given:

Consider a right triangle ABC, Such that

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC, Cosine and Tangent identity

\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}

BUT,

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15} ....Given

On Comparing,

Adjacent side to angle A = AB = 15

Opposite side to angle A = BC = 8

Hypotenuse = AC =17

Also Pythagoras theorem is Satisfies,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

(\textrm{Hypotenuse})^{2} = 17^{2}=289

(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

7 0
3 years ago
HELP I’VE FALLEN AND I️ CANT GET UP! (jk) I️ JUST REALLY NEED HELP ON THIS ALGEBRA QUESTION?!
Lana71 [14]

use cross products

(3r+6) *2 = 9*(2r-4)

6r+12 = 18r-36  distribute

12    = 12 r -36    subtract 6r from each side

48 = 12r  add 36 to each side

4=r  divide by 12

3 0
3 years ago
Find the values of x and y that makes each equation true. –(5y)i+12=4x+25i
vovikov84 [41]

Equate real part and imaginary part:

LHS:

real part -- 12

imaginary part -- 5y

RHS:

real part = 4x

imaginary part = 25

Equating::

12 = 4x

x = 12/4

x = 3

Again:

5y = 25

y = 25/5

y = 5

So,

x = 3

y = 5

5 0
1 year ago
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