Please answer this! 30 points

Answer:

If each of the dimensions was enlarged by 3 units then the new length would be 5 and the new width would be 6. To find the area of the triangle we use the formula: A = L x W ÷ 2.


6 x 5 = 30ft2
30 ÷ 2 = 15ft2


Therefore the new area of the triangle would be 15ft2.

Step-by-step explanation:

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The equilibrium price is $14 and the quantity is 24.

Equilibrium is the place in the market where there is no trend for change.

Buyers’ and sellers’ plans accord, and consequently quantity demanded equals quantity supplied.

The equilibrium price occurs when the quantity demanded equals the quantity supplied.

The demand and supply functions are, respectively:

Demand and supply in a market are described by the following equations: QD = 66-3p and qs = -4 + 2p.

The equilibrium price and quantity are;

QD = QS

66-3p = -4 + 2p

66 + 4 = 2p + 3p

70 = 5p

p = 70/5

p = 14

QD = 66-3p

QD = 66-3 × 14

QD = 66- 42

QD = 24

Hence, the equilibrium price is $14 and the quantity is 24.

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Answer:

44 boots

Step-by-step explanation:

24/6=4

that means we have to multiply all the numbers by 4 as well

2*4=8

3*4=12

24+8+12=44

Step-by-step explanation:

well , adding the total cost we have $75.97 which is approximately $76 , getting 8% of that will be 76 × 8/100 , which is $6 , negate it from 76$ that gives is $70 spent and remember that initially he had 100 :. 100-70 which is $30 remaining

Answer:

[tex]\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)[/tex]

Step-by-step explanation:

The orthocenter is the point of intersection of the altitudes of a triangle.

(The altitude is the line that passes through the vertex and is perpendicular to the side opposite the vertex).

**Refer to attached diagram**

DC, EA and FB are the perpendicular lines drawn from the three vertices D, E and F.

[tex]\sf Let\:(x_1,y_1)=D\implies(x_1,y_1)=(1,3)[/tex]

[tex]\sf Let\:(x_2,y_2)=E\implies (x_2,y_2)= (-1,0)[/tex]

[tex]\sf Let\:(x_3,y_3)= F\implies (x_3,y_3)=(2,-1)[/tex]

G (x, y) is the intersection point of the three altitudes of the triangle, i.e. the orthocenter.

To find the point of intersection (orthocenter), we need to create linear equations for the altitudes, then equate them to find the point of intersection.

We only need to work with 2 altitudes.

Calculate the slopes of two sides of the triangle.

[tex]\sf \implies Slope\:of\:EF=\dfrac{y_3-y_2}{x_3-x_2}=\dfrac{-1-0}{2-(-1)}=-\dfrac{1}{3}[/tex]

[tex]\sf \implies Slope\:of\:DF=\dfrac{y_3-y_1}{x_3-x_1}=\dfrac{-1-3}{2-1}=-4[/tex]

As the slopes of the altitudes are perpendicular to the slopes of the sides:

[tex]\textsf{Slope of DC}=\sf \dfrac{-1}{\textsf{slope of EF}}=\dfrac{-1}{-\frac{1}{3}}=3[/tex]

[tex]\textsf{Slope of EA}=\dfrac{-1}{\textsf{slope of DF}}=\sf \dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

Using point D (1, 3) and the slope of DC to create a linear equation for DC using the point-slope form of a linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-3=3(x-1)[/tex]

[tex]\implies \sf y=3x[/tex]

Using point E (-1, 0) and the slope of EA to create a linear equation for EA using the point-slope form of a linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-0=\dfrac{1}{4}(x-(-1))[/tex]

[tex]\sf \implies y=\dfrac{1}{4}x+\dfrac{1}{4}[/tex]

To find the x-value of the point of intersection (the orthocenter), equate the equations and solve for x:

[tex]\implies \sf 3x=\dfrac{1}{4}x+\dfrac{1}{4}[/tex]

[tex]\implies \sf \dfrac{11}{4}x=\dfrac{1}{4}[/tex]

[tex]\implies \sf 11x=1[/tex]

[tex]\implies \sf x=\dfrac{1}{11}[/tex]

To find the y-value of the point of intersection (the orthocenter), substitute the found value of x into the equation for line DC:

[tex]\implies \sf y=3\left(\dfrac{1}{11}\right)[/tex]

[tex]\implies \sf y=\dfrac{3}{11}[/tex]

Therefore, the orthocenter is at point:

[tex]\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)[/tex]

Answer:

1/10

Step-by-step explanation:

I believe the answer is 1/10

Answer:

ask your teacher for help. learn more today.

Step-by-step explanation:

An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.

Given the total number of pages of the shorter book and the longer book is  557. Therefore, the equation can be written as,

x+y =557

Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,

(3/5)x + (5/6)y = 407

Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

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Answer:

1st and 3rd statements are true

Step-by-step explanation:

2u + 9v + 1

the constant term is the term with only a numeric value

in this case the constant term is 1

the coefficient of the term 2u is 2 ( the value in front of the variable u )

the coefficient of the term 9u is therefore 9

there are 3 terms in the expression 2u , 9v , 1

these terms are being added together , thus

2u + 9v + 1 is the sum of three terms

Answer:

shook

Step-by-step explanation:

The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.

The present age  of the man is 70

a = 2b equation 1

105 = a + b equation 2

Where:

Substitute for a in equation 2

105 = 2b + b

105 = 3b

3b = 105

b = 35

Substitute for b in equation 1 : a = 2 x 35 = 70

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The expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

The M is the midpoint of line segment AB. Thus, it divides the AB in two equal parts.

[tex]AB=MA+MB[/tex]

O is any point on the line segment AB. An expression for OM in terms of OA and OB has to be found out.

The length of OM is the difference of OA and OB as shown in the figure attached below.

[tex]OM=OA-OB[/tex]

Thus, the expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.

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Answer:

f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0

Step-by-step explanation:

Answer:

2x +7

Step-by-step explanation:

combine both x for instance 4x -2x =2× than add other numbers3+4=7

Answer:

The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) are two different points!

Step-by-step explanation:

Answer:

The x-coordinate always comes first

y=mx+c

I picked the points (0, -4) and (-2,-10) to find the gradient of the line

M= rise/run

= 6/2

=3

Y-intercept is at - 4

Y= 3x - 4 is equation of the line given

Reciprocal of 3 is 1/3

(m1 x m2 = - 1)

So, to make - 1, our second gradient should be negative.

Gradient of the perpendicular line will be - 1/3

Y= - 1/3x + c

Substitute value of x & y into the equation

(-6,6) means x = - 6, y = 6

y = - 1/3x +c

6 = - 1/3 x - 6 + c

6 = 2 + c

-2

4 = c

Thus, final equation we're after will be:

y= - 1/3x + 4

Hope this helps!

Answer:

See below

Step-by-step explanation:

x(x-2y)-(y-x)2  

Final result :

-y2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

x • (x - 2y) -  (y - x)2

Step  2  :

2.1     Evaluate :  (y-x)2   =    y2-2xy+x2  

Final result :

-y2

Answer:

y=60x

Step-by-step explanation:

Let x be the number of minutes, y be the

number of seconds

4=60x

{Direct variation}

answer: b and a cannot be points on the unit circle so there for the answer is b and a

option A and option D

hope it helps...!!!

Step-by-step explanation:

[tex] = (s - 6) + (8s + 4)[/tex]

[tex] = s - 6 + 8s + 4[/tex]

Combine the like terms..

[tex] = s + 8s - 6 + 4[/tex]

[tex] = \boxed{\sf{9s - 2}}[/tex]

hence the answer is 9s - 2 .....

hope it helped !!!

Answer:

oringns

Step-by-step explanation:

Angle 5 = 135

This is because corresponding angles are equal

Angle 6 = 180 - 135 = 45

This is because Angle 6 is on the same line as Angle 5, so you just need to subtract 135 from 180.

Angle 2 = 135

This is because opposite angles are equal

The chronological organization allows us to organize the events sequentially according to the date of their occurrence.

The image shows several tables that refer to historical events around the world that we must organize chronologically.

To organize the events chronologically we must know the date on which they occurred, for this we must search for complementary information and establish the date of each one of them, especially the year.

Later, we can organize them and we have two alternatives, from the most recent to the oldest or from the oldest to the most recent. In this case we are going to organize them from the most recent to the oldest, so they would look like this:

Note: This question is incomplete because the image is missing. Here is the image.

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Answer:

The length of the other two legs are 6√2.

since the hypotenuse is one of the legs multiplied by √2.

dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.

12/√2= 12√2/2= 6√2

Answer:

Step-by-step explanation:

Using the area of a rectangle, it is found that 35 bags are needed to cover the rectangular lawn.

The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:

A = lw

In this problem, we have that the measures in feet are l = 360, w = 190, hence the area in square feet is given by:

A = 360 x 190 = 68,400.

The number of bags is then given by:

68,400/2,000 = 34.2

Rounding up, 35 bags are needed to cover the rectangular lawn.

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Answer:

either 1/3 chance or 1/6 chance

Step-by-step explanation:

not exactly sure...

Answer:

See below

Step-by-step explanation:

Radius is the straight lne  distance from the center of the circle to any point on the circle.

The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.

From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.

Let A = area of the triangle

Let S = semi perimeter of the triangle.

The radius will be: = A/S

where,

[tex]S = \dfrac{(a + b + c)}{2} = \dfrac{(13 + 13 + 10)}{2} = 18[/tex]

The radius will be:

 [tex]=\dfrac{(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{10})} { 18}[/tex]

= 3.33cm

In conclusion, the radius is 3.33cm.

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Answer:

[tex] \frac{5}{4} [/tex]

Step-by-step explanation:

To find the average of any amount of numbers, just add all the given numbers together and then divide by the amount of numbers given, in this case it would be :

[tex]( \frac{3}{4} + \frac{13}{5} + \frac{14}{10} + \frac{6}{24} ) \div 4[/tex]