Lora bought a house for a price of p dollars. After 1 year the value of the house increased by 50%. Which expressions best represent the new value of the house? Highlight all the correct answers.
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Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3  

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)  

Step-by-step explanation:

According to the Question,

Now, Let The Coordinates of Point C are C( x , y ) .  

The Coordinates of Point C are C( x , y ) ⇒C(5, 2).  

And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .

Let the coordinate of D be (a, b) then

⇒ √{ (b - 2)² +(a - 5)² } = √10

 on squaring both sides we get,

 ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

 ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)  

We Know, the slope of CD = 3

⇒Thus,  (b - 2)/(a - 5) = 3

⇒ b - 2 = 3a - 15

⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

⇒10a² - 100a + 240 = 0

⇒a² - 10a + 24 = 0

⇒(a - 4)(a - 6) = 0

⇒a = 4 or a = 6

Now,  

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1

When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Answer:

The answer above is 100% correct

Step-by-step explanation:

I got 100 on my quiz.

Answer:

A

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

21 - x = [tex]\frac{1}{2}[/tex] (17 + 11)

21 -x = [tex]\frac{1}{2}[/tex] × 28 = 14 ( subtract 21 from both sides )

- x = - 7 ( multiply both sides by - 1 )

x = 7 → A

The value of x is 7

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.

In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:

Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,

(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )

This is known as the midpoint theorem formula.

As, midsegment is half the sum of the parallel bases

21 - x = 1/2 (17 + 11)

21 - x= 12* 28

21-x= 14

x= 7

Learn more about mid point theorem here:

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Answer:

Step-by-step explanation:

(2). 1 yd ≈ 0.9144 m

1 yd³ ≈ 0.76455 m³

2 yd³ ≈ 1.53 m³ ≈ 2 m³

(3). 1 ft ≈ 0.3048 m

1 ft² ≈ 0.0929 m²

162 ft² ≈ 15.1 m²

(4). 1 mi ≈ 1.60934 km

1 mi² ≈ 2.59 km²

503 mi² ≈ 1302.8 km²

Answer:

D. Four right angles

Step-by-step explanation:

Answer:

Step-by-step explanation:

one of the property of all rectangles is that it has four right angles

:-)

Answer: 8

Step-by-step explanation:

Answer:

10x² + 14x - 48

Step-by-step explanation:

F: (5x)(2x) = 10x²

O: (5x)(6) = 30x

I:  (-8)(2x) = -16x

L:  (-8)(6) = -48

combine the two middle terms to get 14x

10x² + 14x - 48

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

Answer:

B, I don't remember the reasoning but I know that's the answer

Answer: 0.421, 0.422, 0.423, 0.43, 0.434

Step-by-step explanation:

Answer:

i solve the question and answer is (a)5/13

Answer:

[tex]y=-\frac{2}{7} x+7[/tex]

Step-by-step explanation:

First Solve For The Slope Using The Two Given Points!

M = Slope

M = [tex]\frac{y2-y1}{x2-x1}[/tex]

M = [tex]\frac{5-9}{7--7}[/tex]           Two negative signs together makes addition!

M = [tex]\frac{-4}{14}[/tex]               Move the negative sign (only if the fraction has a negative)

M = [tex]-\frac{4}{14}[/tex]            Simplify

M = [tex]-\frac{2}{7}[/tex]              Final Answer

Then see how many units the graph goes up = y-intercept

Answer: 7

Answer:

2:5

Step-by-step explanation:

B: 4

F: 10

Ratio:

4:10

Simplify:

2:5

Hope this helps!

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Ratio of basketballs to footballs is 2:5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that There are 4 basketballs and there are 10 footballs.

we need to find the ratio of basketballs to footballs

As we know ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Ratio can also be written as fraction form.

Basketballs = 4

Footballs = 10

Ratio of basket balls to footballs is 4/10

As 4 and 10 are multiples of 2 we divide numerator and denominator by 2.

The ratio of basketballs to footballs is 2/5

Hence, ratio of basketballs to footballs is 2:5

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Step-by-step explanation:

the answer is in the image above

Answer:

En la clase hay 25 alumnos.

Step-by-step explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.

De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?

[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]

totalidad de los alumnos= 25

En la clase hay 25 alumnos.

Answer:

x = 7

y = 4

Step-by-step explanation:

y + 12 = 3x - 5

5y - 4 = 3x - 5

So y + 12 = 5y - x

To solve the equation above, y =4

Sub y = 4,

x = 7

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

d+ 2d + 60 = 180

3d = 180 - 60

3d = 120

d = 40

The angles are 40, 80, 60

Answer:

2nd one

Step-by-step explanation:

They are similar of course. But with the scale factor 3/4. 9/12 is 3/4, so is 12/16. Hope this is correct!

Answer:

Step-by-step explanation:

so u gotta do 1=1/9nk

Answer:

True, a translation is a slide of a congruent shapes.

Step-by-step explanation:

If the size and shape of the figure is not changed, then the figures are congruent.

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

Given:

Consider the given equation is:

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]

To find:

The slope of the line that is represented by the given equation.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                                      ...(i)

Where, m is the slope and b is y-intercept.

We have,

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{7}{2}[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{7}{2}[/tex].

Answer:

mn = 4

Step-by-step explanation:

(m+n)^2 = m^2 + 2mn + n^2

(m-n)^2 = m^2 - 2mn + n^2 multply the second equation by (-1) then subtract it from first equation

m^2 + 2mn + n^2 - m^2 + 2mn - n^2 = 16

4mn = 16 divide both sides by 4

mn = 4

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

Step-by-step explanation:

Find the score for evan then subtract the points for min and evan tu find the difference

Answer:

side AC =[tex]10\sqrt{3}[/tex]  , angle A=30 degree   , angle B=60 degree

Step-by-step explanation:

using pythagors theorem

a^2 + b^2 =c^2

here a and b are the legs of the triangle whereas c is hypotenuse so,

10^2 + AC^2 = 20^2

100 + AC^2 = 400

AC^2 =400-100

AC^2 =300

AC=[tex]\sqrt{300}[/tex]

AC=[tex]10\sqrt{3}[/tex]

For angle A

take angle A as reference angle

using sin rule

sin A =opposite/hypotenuse

sin A=[tex]\frac{10}{20}[/tex]

sin A=[tex]\frac{1}{2}[/tex]

A=[tex]sin^{-1} (\frac{1}{2} )[/tex]

A=30 degree

For angle B

angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)

30 + angle B + 90=180

120 + angle B =180

angle B =180-120

angle B =60 degree

==============================================

Work Shown:

The order of length, width and height doesn't matter

SA = surface area of rectangular prism

SA = 2*(LW + LH + WH)

SA = 2*(2*6 + 2*9 + 6*9)

SA = 2*(12 + 18 + 54)

SA = 2*(30+54)

SA = 2*(84)

SA = 168 square cm

Answer:

x=9

Step-by-step explanation:

angle A =angle B (because they are corresponding angles)

5x-5=3x+13

5x-3x=13+5

2x=18

x=18/2

x=9

angle A=5x-5

=5*9-5

=45-5

=40

angle B=3x+13

=3*9+13

=27+13

=40

Answer:

A = B

5X-5 = 3X+13

5X-3X. =13+5

2X =18

X = 9

5X-5

(5×9)-5

45-5

=40

ANGLE A=ANGLE B =40

Step-by-step explanation:

any two methods that you can use to graph the equation are

y+4/3=x

y+4=3x

Answer:

197.92

Step-by-step explanation:

pretty simple not hard bub

Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12