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3 years ago

15

In the parabola y=(x+1)^2+2

1 answer:

Svet_ta [14]3 years ago

3 0

Direction: Opens Up

Vertex: (1,2)

Focus: (1, 9/4)

Axis of Symmetry: x = 1

Directrix: y = 7/4

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Can someone please help me with this!

miv72 [106K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Solve The equation Pls i need this ASAP! <br><br> y + (–6) = –9

trapecia [35]

Y-6=-9. Y=-9+6. Y=-3.

3 0

3 years ago

Read 2 more answers

the width of a rectangle is 6inches less than twice it’s length. Find the dimension of the rectangle if it’s area is 108 square

Sindrei [870]

Answer:

Width = $12$ Length = $9$

Step-by-step explanation:

We have to first find an equations with the given variables:

$w = 2L - 6$

Now apply the area format:

$Length * Width$

Since the area is 108 square inches

$108 = l * w$

$108 = l(2l-6)$

$108 = l(2l) + l(-6)$

$108 = 2l^2 - 6l$

Simplify:

$(l-9) * (l+6) = 0$

Since no number can be negative

$w = 2*9(L)-6$

$w = 12$

$l=9$

5 0

3 years ago

Let T: set of real numbers R Superscript nℝnright arrow→set of real numbers R Superscript mℝm be a linear transformation, and

Klio2033 [76]

Answer:

$\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent set.

Step-by-step explanation:

Given: $\{v_1,v_2,v_3\}$ is a linearly dependent set in set of real numbers R

To show: the set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

Solution:

If $\{v_1,v_2,v_3,...,v_n\}$ is a set of linearly dependent vectors then there exists atleast one $k_i:i=1,2,3,...,n$ such that $k_1v_1+k_2v_2+k_3v_3+...+k_nv_n=0$

Consider $k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

A linear transformation T: U→V satisfies the following properties:

1. $T(u_1+u_2)=T(u_1)+T(u_2)$

2. $T(au)=aT(u)$

Here, $u,u_1,u_2$ ∈ U

As T is a linear transformation,

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0\\T(k_1v_1)+T(k_2v_2)+T(k_3v_3)=0\\T(k_1v_1+k_2v_2+k_3v_3)=0\\$

As $\{v_1,v_2,v_3\}$ is a linearly dependent set,

$k_1v_1+k_2v_2+k_3v_3=0$ for some $k_i\neq 0:i=1,2,3$

So, for some $k_i\neq 0:i=1,2,3$

$k_1T(v_1)+k_2T(v_2)+k_3T(v_3)=0$

Therefore, set $\{T(v_1), T(v_2), T(v_3)\}$ is linearly dependent.

6 0

3 years ago

A furniture store has a chair originally priced at $76 on sale for $58 . what is the percent of decrease rounded to the nearest

neonofarm [45]

So here is how we are going to find the answer. Firstly, we deduct 58 from 76 and we got 18. The decrease is $18. Now, we are going to find out how many percent is 18 of 76. So we divide 18 by 76 multiplied by 100 and we get 23.7%. Hope this answers your question. Have a great day!

8 0

3 years ago