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Julli [10]
3 years ago
14

The rectangle shown has a perimeter of 38 cm and the given area. Its length is 4 more than twice its width. Write and solve a sy

stem of equations to find the dimensions of the rectangle.
The length of the rectangle is ___cm and the width of the rectangle is
___ cm.
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

Answer:

L: 19, W: 5 Area: 70

Step-by-step explanation:

2 * (L+W) = 38

L + W = 19

L = 2 * W + 4

2 * W + 4 + W = 19

3W=15

W=5

L=14

Area= 5 x 14 =70

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4+p over 14 = 1 need help
lukranit [14]

Answer:

p = 10

Step-by-step explanation:

In order to solve an equation we must isolate the variable we're solving for, p.

We can do this by undoing operations in the equation.

First, multiply both sides of the equation by 14.

\frac{4+p}{14} * 14 = 1 *14

This gives you 4 + p = 14

Then, you can subtract 4 from both sides:

4 - 4 + p = 14 - 4

p = 10

6 0
3 years ago
Let T:V→W be a linear transformation from a vector space V into a vector space W. Prove that the range of T is a subspace of W.
9966 [12]

Answer:

The range of T is a subspace of W.

Step-by-step explanation:

we have T:V→W

This is a linear transformation from V to W

we are required to prove that the range of T is a subspace of W

0 is a vector in range , u and v are two vectors in range T

T = T(V) = {T(v)║v∈V}

{w∈W≡v∈V such that T(w) = V}

T(0) = T(0ⁿ)

0 is  Zero in V

0ⁿ  is zero vector in W

T(V) is not an empty subset of W

w₁, w₂   ∈ T(v)

(v₁, v₂ ∈V)

from here we have that

T(v₁) = w₁

T(v₂) = w₂

t(v₁) + t(v₂) = w₁+w₂

v₁,v₂∈V

v₁+v₂∈V

with a scalar ∝

T(∝v) = ∝T(v)

such that

T(∝v) ∈T(v)

so we have that T(v) is a subspace of W. The range of T is a subspace of W.

8 0
3 years ago
Find the value of y so that line is passing through two points
Alenkinab [10]
Slope of a line passing through two given points 
= (y2-y1)/(x2-x1)

For m=3, and substituting coordinates,
3=(1-y)/(4-1)
solve for  y
1-y=3*3=9
y=1-9=-8

Answer: y=-8
6 0
3 years ago
Over What Interval is The Function In This Graph Increasing?
irina1246 [14]

The correct answer is option D.which is -4 ≤ x ≤ 1.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.

Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.

To know more about graphs follow

brainly.com/question/25020119

#SPJ1

8 0
1 year ago
How is 0.0008235 written in scientific notation
jeka57 [31]
Okay, move the decimal behind the 8. There are 4 places before the decimal so it is nagitive. If there are places Infront of the decimal is nagitive. So the answer is 8.235×10-4
8 0
3 years ago
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