Need help, please. :)

Help!!! will give brainlyest if explained

7nadin3 [17]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 2 → (1)

4x + y = 24 → (2)

Multiplying (1) by - 2 and adding to (2) gives

- 4x + 6y = 4 → (3)

Add (2) and (3) term by term

(4x - 4x) + (y + 6y) = (24 + 4), that is

7y = 28 ( divide both sides by 7 )

y = 4

Substitute y = 4 into either of the 2 equations

Substituting y = 4 into (2)

4x + 4 = 24 ( subtract 4 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Thus the answers x = 5 and y = 4 are the same as her first method

8 0

3 years ago

Figure M and it’s congruent image, figure N, are graphed on the coordinate plane below.

mixer [17]

The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we can see in the graph there are two shapes are shown.

Figure M and Figure N

The sequence of transformations that will take figure M onto its congruent image, figure N is:

First, we need to draw a line that passes through (3, 0) and (0, -3)

The equation of the line is:

$\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)$

y + 3 = x

y = x - 3

The reflection over the above line will take figure M onto its congruent image, figure N.

Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

7 0

1 year ago

Marcos purchases a top-up card for his pre-paid cell phone. His remaining balance, B, can be modeled by the equation B=40−0.1n,

Molodets [167]

Answer:

Part a) When Marcos purchased the card, the balance on the card was $40

This is the B-intercept

Part b) Mark will have spoken 400 minutes when he runs out of money

This is the n-intercept

part c) The slope of the equation is -0.1 and the units are dollars per minute

Step-by-step explanation:

we have

$B=40-0.1n$

where

B is balance in dollars on the card

n is the number of minutes

Part a) How much money was on the card when he purchased it? $______. Which intercept is this? B-intercept or N-intercept?

we know that

The B-intercept is the value of B when the value of n is equal to zero

so

For n=0

substitute and find the value of B

$B=40-0.1(0)=\$40$

therefore

When Marcos purchased the card, the balance on the card was $40

This is the B-intercept

Part b) How many minutes will he have talked when he runs out of money? $_____. Which intercept is this? B-intercept or n-intercept ?

we know that

The n-intercept is the value of n when the value of B is equal to zero

so

For B=0

substitute and find the value of n

$0=40-0.1n$

$0.1n=40$

$n=400\ minutes$

therefore

Mark will have spoken 400 minutes when he runs out of money

This is the n-intercept

Part c) What is the slope of this equation?________ . What are the units on the slope? Minute , dollars per minute ,minutes per dollars or dollars ?

we have

$B=40-0.1n$

This is is the equation of the line into slope intercept form

$m=-0.1\frac{\$}{minute}$ -----> slope of the equation

$b=40$ ------> the B-intercept

The units of the slope are dollars per minute

7 0

3 years ago

The figure below shows a rectangle ABCD having diagonals AC and DB.

Keith_Richards [23]

Answer: b) ΔADC ≡ ΔBCD by SAS

<u>Step-by-step explanation:</u>

Step 1: AD = BC SIDES are congruent

Step 2: ∠ADC ≡ ∠BCD ANGLES are congruent

Step 3: DC = DC SIDES are congruent

The proof is using Side-Angle-Side (SAS)

Look at the angles in step 2. These are the triangles you are proving congruency for: ΔADC ≡ ΔBCD

4 0

3 years ago

Determine whether each table represents a linear quadratic or exponential function

Kryger [21]

Answer:

Table A: exponencial function

Table B: quadratic function

Table C: linear function

Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.

Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

Table C:

for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

for x from 9 to 12, Y increased by -2

The increment of Y is constant for the same increment of X, so this is a linear function.

7 0

3 years ago