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1 year ago

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Please help! 20 points thanks :)

1 answer:

Reika [66]1 year ago

5 0

Answer:

-5

Step-by-step explanation:

The equation for slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

We can plug in the given coordinates into the equation:

$Slope=\frac{-2-3}{3-2}=\frac{-5}{1}=-5$

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1 5/7÷4/9 = what's the answer and how to write the problem out

balu736 [363]

The solution to given expression $1\frac{5}{7} \div \frac{4}{9}$ is $\frac{27}{7}$ or 3.8571

<em><u>Solution:</u></em>

Given expression is:

$1\frac{5}{7} \div \frac{4}{9}$

<em><u>First let us convert the mixed fraction to improper fraction</u></em>

Multiply the whole number by the denominator.

Add the answer from Step 1 to the numerator.

Write answer from Step 2 over the denominator.

Thus we get,

$1\frac{5}{7} = \frac{1 \times 7 + 5}{7} = \frac{12}{7}$

Now the given expression becomes,

$1\frac{5}{7} \div \frac{4}{9} = \frac{12}{7} \div \frac{4}{9}$

Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign

$\frac{12}{7} \div \frac{4}{9} = \frac{12}{7} \times \frac{9}{4}$

Multiply the numerators, multiply the denominators, and leave the product in factored form

$\frac{12}{7} \times \frac{9}{4} = \frac{27}{7}$

In decimal form we get,

$\frac{27}{7} = 3.8571$

Thus the solution to given expression is $\frac{27}{7}$ or 3.8571

4 0

2 years ago

How do I solve this problem

My name is Ann [436]

The answer will be 15/14, or 1 1/14 for the simplest form.

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3 years ago

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Angle b and Angle g are known as alternate ___________ angles.

Afina-wow [57]

Alternate exterior angles because the are OUTSIDE of the parallel lines

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2 years ago

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A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago

Solving equations and distributive property

Serhud [2]

Answer:

The answer is 10

Step-by-step explanation: You multiply the 2 times twenty to get 40 then multiply the 2 times 2x to get 4x then subtract fourty from both sides and you will get fourty and then divide so 40 divided by 4x equals 10.

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2 years ago

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