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3 years ago

How do you answer this question y=-3x+4 and y=3x-2 with transitive property of equation

Mathematics

1 answer:

borishaifa [10]3 years ago

6 0

Y=-3x+4 and y=3x-2

so -3x+4=3x-2 is also true

-3x+4=3x-2
4=6x-2
6=6x
1=x

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If (3). write the following vectors in column vector form:

Art [367]

Answer:

see explanation

Step-by-step explanation:

Given

a = $\left[\begin{array}{ccc}3\\2\\\end{array}\right]$

To obtain -3a multiply each of the elements of a by -3

3a = $\left[\begin{array}{ccc}-3(3)\\-3(2)\\\end{array}\right]$ = $\left[\begin{array}{ccc}-9\\-6\\\end{array}\right]$

To obtain 1.5a multiply each element by 1.5

1.5a = $\left[\begin{array}{ccc}1.5(3)\\1.5(2)\\\end{array}\right]$ = $\left[\begin{array}{ccc}4.5\\3\\\end{array}\right]$

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3 years ago

Jeanette can swim 45 meters in 30 seconds. How far can she probably swim in 90 seconds?

shtirl [24]

H. 135 meters

Work: 45 meters in 30 seconds 45/30= 1.5 so 90x1.5 = 135 meters

6 0

3 years ago

Read 2 more answers

How many ways can you select pants, a shirt, and shoes if you have 5 pants, 7 shirts, and 3 pairs of shoes to choose from

Delicious77 [7]

5*7*3
35*3= 105
105 different ways

8 0

3 years ago

Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a

Nikitich [7]

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2) (n-2)= $mn/2$

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

mn- 2m - 2n- 4 = 0

Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60

which maximizes the number of brownies in total which is the greatest number.

Hope that helped! =)

7 0

3 years ago

Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

$2x+3y-z =K$

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

$2(2)+3(0)-(-1) =K\\K =5$

So equation is

$2x+3y-z =5$

b) Substitute general point of L in the plane to find the intersecting point

$2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)$

i.e. same point given.

3 0

3 years ago