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3 years ago

14

What is the scale factor in the dilation?

1 answer:

PolarNik [594]3 years ago

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The line plot shows the growth, In Inches, of Isabella's plant over 13 days. Growth of Isabella's Plant What is the total growth

mart [117]

Line plots are used to display data elements using markers

The total growth, in inches, of Isabella's plant is $4\frac{1}2$ inches

<h3>How to determine the total growth</h3>

From the line plot, the total growth can be represented as:

$Total = \frac 18 * 4 + \frac 28 * 2 + \frac 38 * 3 + \frac 48 * 1 + \frac 58 * 3$

Evaluate the products

$Total = \frac 48+ \frac 48 + \frac 98 + \frac 48 + \frac {15}8$

Evaluate the sum

$Total = \frac{4+4+9+4+15}8$

Evaluate the numerator

$Total = \frac{36}8$

Evaluate the quotient

$Total = 4\frac{1}2$

Hence, the total growth, in inches, of Isabella's plant is $4\frac{1}2$ inches

Read more about line plots at:

brainly.com/question/15853311

6 0

3 years ago

T F IfA and B are similar matrices, then AT=BT

muminat

Answer:

Step-by-step explanation:

We know that for two similar matrices $A$ and $B$ exists an invertible matrix $P$ for which

$[tex]B = P^{-1} AP$ [/tex]

∴ $B^{T} = (P^{-1})^{T} A^{T} P^{T} \\$

Also $P^{-1}P = I\\$

and $(P^{-1})^{T} = (P^{T})^{-1}$

∴ $(P^{-1})^{T}P^{T} = I$

so, $B^{T} = (P^{-1})^{T} A^{T} P^{T} = (P^{T})^{-1}A^{T} P^{T}\\B^{T} = A^{T} I\\B^{T} = A^{T}$

7 0

3 years ago

Which of the sets of equations represent the two lines graphed?

Oksi-84 [34.3K]

Answer:

B) y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

$\frac{x}{a} + \frac{y}{b} = 1$

The line with positive slope has x-intercept a=-2 and y-intercept b=2.

Its equation is:

$\frac{x}{ - 2} + \frac{y}{2} = 1$

Multiply through by 2

$- x + y = 2$

Solve for y,

$\boxed {y = x + 2}$

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

$\frac{x}{ - 4} + \frac{y}{ - 4} = 1$

Multiply through by -4

$x + y = - 4$

Solve for y

$\boxed {y = - x - 4}$

4 0

3 years ago

Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$

OlgaM077 [116]

hmmm let's find the distance between B and C first off.

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5$

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0

2 years ago

The area of a rectangle field is 1710 square feet. The length of the field is 45 feet. What is the width of the field?

andreev551 [17]

Answer:

38

Step-by-step explanation:

1710/45=38

8 0

3 years ago

Read 2 more answers