The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.

Answer:

668

Step-by-step explanation:

She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer

Answer:

668

Explanation:

To solve this problem, add 539 and 129 meters together.

539 + 129 = 668

Therefore, 668 represents Anita's change in altitude.

Answer: [tex]\sqrt{41}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]

Answer:

No solution

Step-by-step explanation:

1. Multiply the parenthesis by -10

2. Collect like terms

3. Cancel equal terms

4. You're left with -20=13, which is false. There is no solution.

Answer:

$6.3

Step-by-step explanation:

Cost of one book =  $5.40

cost of 1000 books = 1000* Cost of one book  =  $5.40*1000 = $5400

Transportation cost for all the books = $200

Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books  = $5400 + $200 = $5600.

Given , trader wants to earn a profit of 12.5%

thus, we find 12.5 % of total cost incurred by trader

12.5 % of total cost incurred by trader = 12.5/100 *  $5600. = $700

Thus, total profit for 1000 books will be $700

we know that

selling price = cost price + profit

therefore, in the given problem

selling price for 1000 books =  total cost for 1000 books + total profit

substituting the value as calculated above

selling price for 1000 books = $5600 + $700 = $6300

To find selling price for one book, lets divide LHS and RHS by 1000

selling price for 1000/100 books = $6300/1000 = $6.3

Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.

Answer:

This rectangular solid has 6 faces.

Step-by-step explanation:

The four sides and the top and bottom equal 6 faces.

Answer:

the answer is 6

Step-by-step explanation:

just count them

Answer:

3 6 pks are required

Step-by-step explanation:

There are 14 people at the party

14 = 6x  where x is the number of 6 pks

Divide each side by 6

14/6 = 6x/6

2 1/3 = x

Since we cannot buy part of a 6 pk, we round up

3 6 pks are required

The answer is (x+2)(x+5)

The middle number is 7 and the last number is 10.

What numbers when multiplied get 10 AND when added together get 7?

I hope this helped :)

Answer: Mary is cheaper than mike

Step-by-step explanation:

Hopes this Helps

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

Answer:

732421875

Step-by-step explanation:

Since the given number is divisible by 3 and multiple of 5, it must end with 5 and sum of its digits divisible by 3

Only option 3 satisfies the condition described above:

Answer: 12.25 and 20.25

Step-by-step explanation:

20.25 - 12.25 = 8

Square root of 20.25 is 4.5

Square root of 12.25 is 3.5

4.5 - 3.5 = 1

Hope this helped

Answer:

should look like this

Step-by-step explanation:

sorry for the messiness was a quick sketch

Answer:

[tex]Area=25\,\,in^2[/tex]

Step-by-step explanation:

The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".

Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).

We use the other information provided to represent the rectangle's with (y) in terms of "x" :

length + width = 10 inches

x + y = 10

Therefore,   y = 10 - x

Now we use this expression for "y" in the product for the area;

[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]

Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.

Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]

is given by:

[tex]x_{vertex}=-\frac{b}{2a}[/tex]

which in our case where "a" = -1 and "b" = +10, gives:

[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]

Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:

[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]

Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]

Answer:

Malik 7.6

Vivian 26.6

Step-by-step explanation:

Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:

V=3.5m where M is the number of hours Malik worked.

We know Vivian works 19 more hours than Malik and that in equation would be:

m+19 = V

So equate the two

3.5m = m+19

3.5m-m=19

2.55m=19

m=7.6

V=7.6+19 = 26.6

Answer:

9(3+4)

Step-by-step explanation:

27+36

Factor out 9

9*3 + 9*4

9(3+4)

Answer:

9(3+4)

Step-by-step explanation:

First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

Factors of 27: 1, 3, 9, 27

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.

Now, find the equivalent expression.

27+36

Distribute out a 9. Divide both numbers inside the parentheses by 9.

9(27/9+36/9)

9(3+4)

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

Answer:

71 people per day for this qst

Answer:

the answer is actually A. 69.7

Step-by-step explanation:

i took the test a lot of times to get the answer

Answer:

11 years

Step-by-step explanation:

Answer:

Its actually 10 years

Step-by-step explanation:

Its about 10.4 but it says nearest year and 10 is closer than 11

Answer:

46

Step-by-step explanation:

44+x=90

x=46

Answer:

46 degrees

Step-by-step explanation:

When two angles are complementary, their measures must add up to 90 degrees. Therefore:

a+b=90

44+b=90

b=90-44

b=46 degrees

Hope this helps!

Answer:

x = -8

Step-by-step explanation:

1/4x +2= -5/8x - 5

Add 5/8x to each side

1/4x +5/8x +2= -5/8x+5/8x - 5

1/4x+5/8x +2=  - 5

Subtract 2 from each side

1/4x+5/8x +2-2=  - 5-2

1/4x+5/8x =  - 7

Get a common denominator

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7x * 7/8x = -7 *8/7

x = -8

Answer:

x=-8

Step-by-step explanation:

1/4x+2=-5/8x-5

find l.c.m=8

multiply through by l.c.m which is 8

x/4×8+2×8=-5x/8×8-5×8

2x+16=-5x-40

2x+5x=-40-16

7x=-56

divide both sides by 7

7x/7=-56/7

x=-8

Answer:

200°F

Step-by-step explanation:

165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.

Answer:

The answer might be B. I hope this helps please tell me if right or wrong.

Step-by-step explanation:

Answer:

2 and 3 are true

Step-by-step explanation:

1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.

2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.

3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.

4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.

Hope this helps!

Answer:

2 and 3

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The formula for slope is: y1-y2/x1-x2

The points given are: (x coordinate, y coordinate)

In the formula,

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

This said, we can plug our points in.

5-(-1)/-3-9

Simplify.

5+1/-12

6/-12

Divide both the numerator and denominator by -6.

-1/2

Answer:  The slope is 4/9  or -4/-9.

Step-by-step explanation:

(1,5)  

(10,9)   Find the difference in the y values and divide it by the difference in the x values.

5-9= -4

1- 10= -9

-4/-9= 4/9

so the slope is 4/9  

Using the slope we could also find the y-intercept and write the equation.

5=4/9 (1) + b    where b is the y-intercept

  5= 4/9 + b

-4/9   -4/9

b= 41/9  

Now we will have the equation  y= 4/9 + 41/9

Answer:

x = 8

Step-by-step explanation:

Answer:

Length = 80 metres and Width = 60 metres.

Step-by-step explanation:

Given

Length = 90m

Width = 50m

Required

Dimension of another rectangle with the same perimeter but larger area;

Perimeter of a rectangle is calculated as thus;

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Perimeter = 2(90m+ 50m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Area of a rectangle is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Area = 90m * 50m[/tex]

[tex]Area = 4500m^2[/tex]

So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²

Using trial by error method;

Assume length of a rectangle is 80m;

This means the width must be 60m

Calculating the perimeter

[tex]Perimeter = 2(80m+ 60m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Calculating the area

[tex]Area = 80m * 60m[/tex]

[tex]Area = 4800m^2[/tex]

Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.

Length = 80 metres and Width = 60 metres.

Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;

Answer:

Answer is x = 15

Answer is given below with explanations.

Step-by-step explanation:

[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

Step-by-step explanation:

(2y²)³=2³×y^6=8y^6

=8×y×y×y×y×y×y