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4 years ago

Use an area model to explain the product of 4.6 and 3. Write the product in standard form, word form and expanded form

Mathematics

1 answer:

Vaselesa [24]4 years ago

7 0

Answer:

Scroll all the way to the bottom of the document i attached youre welcome

Step-by-step explanation:

Download pdf

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Solve<br>6x^2 + 10x - 4 = 0

Veronika [31]

Answer:

x = -1

x = -2/3 = -0.667

Step-by-step explanation:

7 0

4 years ago

A rectangle has vertices at these coordinates. (−6, 3), (−6, 5), (2, 3) What are the coordinates of the fourth vertex of the rec

Scilla [17]

Answer:

The coordinates of the fourth vertex of the rectangle is $(2,5)$

Step-by-step explanation:

Let

$A(-6,3), B(-6,5),C(2,3)$

using a graphing tool

Plot the vertices of the rectangle

The coordinates of point D will be the intersection point of the line parallel to AC that passes through the point B with the line parallel to AB that passes through the point C

The intersection point is $(2,5)$

see the attached figure

7 0

4 years ago

The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−2, 2) and goes to Q(5, 2). It goes from Q to R(5

love history [14]

Answer:

The total length (in units) of the biking trail is 17 units.

Step-by-step explanation:

o find distance between points A(x¹, y¹) and B(x², y²), we use formula:

$d = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

The trail starts at P(−2, 2) and goes to Q(5, 2).

So, the distance PQ will be calculated as:

$PQ = \sqrt{(5^{}-(-2)^{})^{2}+(2^{}-2^{})^{2}$

$PQ = \sqrt{(49^{}+0)$

PQ = 7 units

Then the trail goes from Q(5, 2) to R(5, −5).

So, the distance QR will be calculated as:

$QR = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

$QR = \sqrt{(5^{}-5^{})^{2}+(-5^{}-2^{})^{2}$

QR = 7 units

And then from R(5, −5) to S(8, −5).

$RS = \sqrt{(8^{}-5^{})^{2}+(-5^{}-(-5)^{})^{2}}$

QR = 3 units

Hence, the total length of the biking trail is:

PQ + QR + QR = 7 + 7 + 3 = 17 units

Keywords: distance formula, length

Learn more about distance formula to find length from brainly.com/question/10903929

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4 0

3 years ago

Read 2 more answers

Stephanie needs to cover her yard with 4103/4ft2 of soil she has enough for 125 ft2 in one bag and 65 ft 2 in another bag how mu

Evgen [1.6K]

Answer:

Stephanie requires 835.75 square feet more amount of soil to cover her yard.

Step-by-step explanation:

Given:

Total square feet of yard she need to cover with soil = $\frac{4103}{4}\ ft^2$

$\frac{4103}{4}\ ft^2$ can be rewritten as 1025.75 square feet.

Total square feet of yard she need to cover with soil = $1025.75\ ft^2$

Amount of soil in one bag = $125\ ft^2$

Amount of soil in other bag = $65\ ft^2$

Total Amount of soil she has is equal to sum of Amount of soil in one bag and Amount of soil in other bag.

Framing the equation we get;

Total Amount of soil she has= $125+65 = 190\ ft^2$

Now We need to find the Amount of soil she required more to cover the yard.

Amount of soil she required more is equal to difference of Total Amount of soil she has and Total square feet of yard she need to cover with soil.

Framing the equation we get;

Amount of soil she required more = $1025.75-190= 835.75\ ft^2$

Hence Stephanie requires 835.75 square feet more amount of soil to cover her yard.

6 0

3 years ago

Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest

xxTIMURxx [149]

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

6 0

4 years ago