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2 years ago

6 x +4 + 10x - 9 + 8x - 7=

Mathematics

1 answer:

trasher [3.6K]2 years ago

6 0

Answer:

24x - 12

Step-by-step explanation:

6x + 4 + 10x - 9 + 8x - 7

6x + 10x + 8x + 4 - 9 - 7

24x - 12

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I need a tape diagram that goes with Sadie is saving all her money to buy a horse which will cost her $600. She has already save

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3 years ago

amy purchases 27 teeshirts for a certain amount of money. using m for the total amount of money in dollars that amy spent on tee

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One T-shirt is m dollars. The number of T-shirts is n. Amy bought 27 T-shirts.

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3 years ago

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Dafna1 [17]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

When Josiah opens and lays a cereal box out flat, he sees that the top and the bottom of the box both measure 2 inches by 8 inch

Dominik [7]

Answer:

252 square inches is the surface area of Josiah's cereal box.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the box = 11 inches

Length of the box = 8 inches

Width of the box = 2 inches

2. What is the surface area of Josiah's cereal box?

Let's recall the surface area of a rectangular prism:

Surface area = 2 (width * length + height * width + length * height)

Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)

Surface area = 2 (16 + 22 + 88)

Surface area = 2 * 126

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3 0

3 years ago

Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z

vovikov84 [41]

Plug $y=x^2$ into the equation of the ellipsoid:

$x^2+7(x^2)^2+7z^2=49$

Complete the square:

$7x^4+x^2=7\left(x^4+\dfrac{x^2}7+\dfrac1{14^2}-\dfrac1{14^2}\right)=7\left(x^2+\dfrac1{14}\right)^2+\dfrac1{28}$

Then the intersection is such that

$7\left(x^2+\dfrac1{14}\right)^2+7z^2=\dfrac{1371}{28}$

$\left(x^2+\dfrac1{14}\right)^2+z^2=\dfrac{1371}{196}$

which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let

$x(t)^2+\dfrac1{14}=\sqrt{\dfrac{1371}{196}}\cos t\implies x(t)=\pm\sqrt{\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}}$

$y(t)=x(t)^2=\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}$

$z=\sqrt{\dfrac{1371}{196}}\sin t$

(Attached is a plot of the two surfaces and the intersection; red for the positive root $x(t)$ , blue for the negative)

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3 years ago