How many times larger is 9×10 to the fourth power than 3×10 to the second power

A store sells snacks by weight. A six ounce bag of mixed nuts costs $3.60.Will a two ounce bag of nuts cost more than or less th

Mashutka [201]

3.60/6 = 0.60...so it costs 60 cents per oz

2 oz at 0.60 per oz = (2*0.60) = 1.20...so a 2 oz bag costs less then 1.25

5 0

3 years ago

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?.

stellarik [79]

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0 12 12 0]

[ 0 0 12 6]

<h2>We have to determine</h2>

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?

<h3>According to the question</h3>

The vertices of the triangle are

The scale factor is 3.

<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>

Therefore,

The vertices of the rectangle after scaled by the factor of 3 are,

$\rm (0, 0), (4, 0), (4, 4) \ and\ (0, 2)\\\\ (0\times 3, 0\times 3), (4 \times 3, 0 \times 3), (4 \times 3, 4 \times 3) \ and \ (0 \times 3, 2 \times 3) \\\\ (0, \ 0), (12, \ 0), (12, \ 12), \ (0,\ 6 )$

The vertices of the rectangle after it are scaled by a factor of 3.

Therefore,

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0 12 12 0]

[ 0 0 12 6]

To know more about Matrix click the link given below.

brainly.com/question/2489305

8 0

3 years ago

Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle

mario62 [17]

Step-by-step explanation:

The distance formula between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points.

$A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}$

If a ≤ b < c are the sides of the right triangle, then

a² + b² = c²

$\sqrt5$

used $(\sqrt{a})^2=a$ for a ≥ 0.

$AB^2+BC^2=AC^2$ therefore ΔABC is a right triangle.

6 0

3 years ago

Karen bought a handbag for $55. Agnes spent 1.5 times as much on hers. How much did Agnes spend?

Rus_ich [418]

82.50?? I think because I just multiplied them.

5 0

3 years ago

Read 2 more answers

write a real-world problem in which you would need to find the number of units between -6 and 0 on a number line.

Mariulka [41]

Sam started with 0 dollars in his bank account. He charged his debit card for a sandwich that costs $6.00. If this was written on a number line. How many units would Sam to go to get back to where he started?

4 0

4 years ago