What is the area of a triangle whose vertices are D(1, 1), E(3, -1), and F(4, 4)?
Enter your answer in the box.

Answer:

  x = 10°

Step-by-step explanation:

Given the figure with angles 2x, 4x, 5x, and 50° marked, you want to find the value of x.

∠HAC = ∠HCA . . . . base angles of isosceles triangle HAC

2(∠HAC) = 4x . . . . . exterior angle 4x is equal to the sum of the equal remote interior angles HAC and HCA

∠HAC = 2x . . . . . . . divide by 2

∠AED = 180° -2x -2x = 180° -4x . . . . sum of angles in ∆AED is 180°

∠AHC = 180° -4x . . . . angles at H are a linear pair

HC ║ ED . . . . converse of corresponding angles theorem

∠FEG = ∠FCH = 50° . . . . . corresponding angles theorem

5x = 50° . . . . . substitute value of ∠FEG

x = 10° . . . . . divide by 5

Using this value for the marked angles, we get the measures shown in the attachment.

Answer:

{−6,−4}

Step-by-step explanation:

the domain is all the x- values of the points.

so -6 and -4 are repeated so they are the domain of the points.

Given:

To Determine: The percentage with greater than 24mpg

Solution

Here Ya Go! :D

Hope this helps! If so, please lmk. Thanks and good luck!

The equivalent expression for the indices is 17⁻⁷ × 17⁵ is  1/17²

Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices.

We have different  Laws of Indices, but the one applicable to this question is the product law and reciprocal law.

Product law: To multiply two variables or numbers with the same base, we need to add their powers and raise them to that base":   5² x 5³ = 5²⁺³ = 5 and  P⁴ + P⁶ = P¹⁰

Reciprocal Law: If the index is a negative value, then it can be shown as the reciprocal of the positive index raised to the same variable:

8⁻² = 1/8²   and b⁻⁶ = 1/b⁶      

Let's use the two laws to create an equivalent expression for 17⁻⁷ × 17⁵:

17⁻⁷ × 17⁵ = 17⁻⁷ ⁺ ⁵  = 17⁻²  = 1/17²

Therefore, the equivalent expression for 17⁻⁷ × 17⁵ is  1/17². The 1st option is the answer.

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The area of the given diagram is 270sq.metre

The area of Rectangle is length times of width.

In the given figure there we can see three rectangles.

Let us divide each length to three parts.

The length 27m is divided into 3 we get

27/3=9m.

Hence each rectangle has 9m of length.

The width 30m is divided into 3 parts we get,

30/3=10m.

Hence area of each rectangle is 9×10=90 sq. m

Total area of diagram will be

3 times of 90.

270 sq.m.

Hence the area of the given diagram is 270sq.metre

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Answer:

0

Step-by-step explanation:

Answer:

1133.98

almost 1134 grams :)

Step-by-step explanation:

multiply by 28.35 to get the answer :)

Answer:

1133.98

Step-by-step explanation:

Hope it helps and have a nice day!!!!! :)

BRAINIEST IS APPRECIATED!!!

Answer:

I don't know the options, but the first step would definitley be distributing the -3 over the parantheses --> -3x - 18

I would say that using a survey gives you the perfect way to collect the data you need for the drug effect. So,

The base of the garden is 14.4 feet.

The height of the garden is 6 feet.

Given,

Corey is designing a rectangular garden;

The diagonal of the garden = 15.6 feet

Ratio  between garden's base and height = 12:5

We have to find the length of base and height of the garden.

Here,

Diagonal of a rectangle, d = [tex]\sqrt{base^{2}+ height^{2} }[/tex]

Base = 12x

Height = 5x

Then,

Diagonal, 15.6 = [tex]\sqrt{(12x)^{2} + (5x)^{2} }[/tex]

15.6 = [tex]\sqrt{144x^{2} +25x^{2} }[/tex]

15.6 = √169x²

15.6 = 13 √x²

15.6 = 13x

x = 15.6/13

x = 1.2

Then,

Base of the garden = 12 x 1.2 = 14.4 feet

Height of the garden = 5 x 1.2 = 6 feet

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Answer:

She will no longer owe the bank any money. She will have 100 dollars in profit.

Step-by-step explanation:

$24 x 6 hours a day means she makes 144 dollars a day.
144 dollars times 25 means she makes 3600 dollars over the 25 day period.

3600-3500(the amount she owed) is 100 dollars

Given the credit card options:

• Chase Sapphire Reserve

• Wells Fargo Propel Card

• American Express Blue Cash Everyday

• Citi Double Cash Card

• Chase Freedom

• Chase Amazon Prime Rewards Card

• Bank of America Cash Rewards Visa

• American Express Platinum

Then, there are 8 options.

If you want to apply for 3 credit cards and the order does not matter, you can use combination to see how many options you have.

The formula for combination of r elements out n elements is:

In this question:

n = 8

r = 3

Answer: 56 ways.

Answer:

Is it B

Step-by-step explanation:

Answer:

Substitute x = 4 into the equation to find y.

2(4) + y = 2

8 + y = 2

y = -6

To check if it satisfies the equation, substitute values of x and y into the equation.

2(4) + (-6) = 2

8 - 6 = 2

Since, it satisfies the equation, the missing coordinate is -6.

for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,

T': (1, -3)

U': (2, 0)

V': (8, -2)

W': (7, -5)

In this question, we have been given a rectangle TUVW with vertices

T(-3,-1), U(0, -2), V(-2, -8) and W(-5, -7)

We know that for 90° counterclockwise rotation is (x, y) becomes (-y, x)

so, the coordinates of T' would be,

T' = (1, -3)

the coordinates of U' would be,

U' = (2, 0)

the coordinates of V' would be,

V' = (8, -2)

the coordinates of W' would be,

W' = (7, -5)

Therefore, for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,

T': (1, -3)

U': (2, 0)

V': (8, -2)

W': (7, -5)

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This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.

Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):

Revenue = price × demand

R(x) = p(x) × d(x)

The demand (d) for this company’s product at cost (x) is given by this demand function:

d(x) = −0.25x² + 1,000

Also, the price (p) in dollars that this company can charge for its product is given by this price function:

p(x) = x + 16

Substituting the parameters into the revenue function, we have;

Revenue function, R(x) = p(x) × d(x)

Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)

Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.

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Complete Question:

Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.

Answer:

here is the answer hop it helps mark me the brainliest

First, multiply by 1:

cos x * 1 + cos x tan^2 x

Factor cos x out of cos x tan^2 x

cos x * 1 + cos x (tan ^2 x)

Factor again

cos x (1+ tan^2 x)

Rearrange:

cos x (tan^2 x +1 )

Apply Pythagorean identity:

cos x * sec ^2 x

Rewrite Sec x in terms of sin and cos

cos x * (1 / cos x )^2

Apply product rule:

cos x * 1^2 / cos^2 x

cos x * (1/ cos^2 x )

Cancel common factor cos x

1 / cos x

1/cosx = sec x

Answer : sec x (option c)

The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

for the given question.

The parent function is f(x) = x + 1.

The translated function is g(x).

As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.

It mean both Veronica and Drawn are correct.

Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

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Answer:

256

Step-by-step explanation:

1,2,2,4,8,32

1*2=2

2*2=4

4*2=8

8*4=32

632*8=256

we have

1 cubic meter = 1000 L

x cubic meter = 415 L

then:

The volume of a cube with length x is:

answer: The smallest possible inside length of the tank is 0.746 m

Answer:

Step-by-step explanation:

d that the answer pls mark me brianlest

Answer: a b C D

Step-by-step explanation:

JK is perpendicular to a line that has a slope

What is Slope?

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if

m1 x m2 = -1.

In our case m1 = 1

1 x m2 = -1

m2 = -2

so the slope of the perpendicular line is -2.

( -2 x (1) = -1).

As x increases, the line with a slope of -2 increases. Line JK is the only line displayed that fits this. Line AB cannot be the solution because it is "falling" as x grows.

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The exponential model A=64.5e^0.02t describes the population, A of a country in millions, t years after 2003. The population of the country will be 108 million in

we have the expression

A=64.5e^0.02t

For A=108

substitute

108=64.5e^0.02t

108/64.5=e^0.02t

Apply ln both sides

ln(108/64.5)=ln(e^0.02t)

ln(108/64.5)=0.02t(ln(e))

ln(108/64.5)=0.02t

solve for t

t=ln(108/64.5)/0.02

t=26 years

therefore

2003+26=2029

answer is

Answer:

104 children and 195 adults

Step-by-step explanation:

let a represent number of adults and c represent number of children , then

a + c = 299 → (1)

7a + 2c = 1573 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate c

- 2a - 2c = - 598 → (3)

add (2) and (3) term by term to eliminate c

5a + 0 = 975

5a = 975 ( divide both sides by 5 )

a = 195

substitute a = 195 into (1) and solve for c

195 + c = 299 ( subtract 195 from both sides )

c = 104

104 children and 195 adults were admitted

the width of the wall is 21 3/8 = 171/8

the width of a tile is 4 1/2 = 9/2

so the number of tiles is

(171/8) / (9/2) = 171x2 / (9 x8) = 4.75

so the no of tiles needed is 5.

Answer:

A. [tex]\frac{c}{11} *7-48[/tex]

Step-by-step explanation: