All categories

3 years ago

A solution to a system of equations is at the point of intersection.

Mathematics

1 answer:

solniwko [45]3 years ago

7 0

Answer:

true

Step-by-step explanation:

i dont have an explanation its just true

You might be interested in

Patti green and her husband are purchasing a condominium for $123,000. They have $15,000 for a down payment. What is the amount

Inessa [10]

Answer:

The amount of their mortgage loan is $108000

Step-by-step explanation:

we are given

total purchasing amount =$123000

down payment amount = $15000

we know that

Mortgage loan amount = (total purchasing amount)-(down payment amount)

now, we can plug value

Mortgage loan amount = $123000-$15000

Mortgage loan amount =$108000

6 0

4 years ago

What are the common factors of 12 and 24?

Brut [27]

Common factors of 12 and 24 include 2,3,4,6, and 12

8 0

3 years ago

Read 2 more answers

Consider the following system of equations:

IrinaK [193]

Answer:

x = 6 ; y = -9

Step-by-step explanation:

8 x + 2 y = 30 ..........equ No 1

7 x + 2 y = 24......... equ No 2

8 x = 30 - 2y

∴ x = $\frac{ 30 - 2 y}{8}$

substituting the value of x in equ No 2

7 $\frac{30 - 2 y}{8}$ + 2 y = 24

7 ( 30 -2 y) + 2 y × 8 = 24 × 8

7 × 30 - 14 y + 16 y = 192

210 + 2 y = 192

2 y = 192 - 210

2 y = - 18

∴ y = - 9

put y = -9 , 8 x = 30 - 2 y

8 x = 30 - 2 ( -9)

8 x = 30 - ( -18)

8 x = 48

∴ x = 6

x = 6 ; y = -9

3 0

3 years ago

Inverse of f(X) = 3x - 7

poizon [28]

Step-by-step explanation:

y = f(X) = 3x - 7

3x = y + 7

x= (y +7)/3

f ^-1(x) = (x + 7)/3

5 0

3 years ago

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

yan [13]

Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0

3 years ago

Read 2 more answers