In the diagram, AC and PR are vertical lines, while CB is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q? A. (-2, -4) B. (-1, -5) C. (-3, -3) D. (0, -6)

Step-by-step explanation:

the proportion that contains BC and FI :

BC / FG = proportion

8/4= proportion

2= proportion

BC/FI=8/3

Answer:

The beam will bend by 50 mm with a mass of 100kg?

Step-by-step explanation:

The first step in solving the problem of direct variation is setting up the relation mathematically.

We can do this as follows:

The bending of the beam varies directly as its mass.

[tex]20 \alpha 40kg[/tex]

[tex]\alpha[/tex] here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k

[tex]20 = k \times 40[/tex]

k = 20 /40 = 0.5

We can now use this to find the distance the beam will bend with a mass of 100kg?

This will be

[tex]Bending = 0.5 \times 100 =50mm[/tex]

There fore, the beam will bend by 50 mm with a mass of 100kg?

Answer:

Length = 5 units, Area = 51 unit squared

Step-by-step explanation:

For the length of the midsection (I think this is what you're talking about):

Method 1.

Draw the graph and count the units across for the length.

Method 2.

The lowest y coordinates are the 0 from point A and the 0 from point B: this means that the line between point A and B is the bottom line of the trapezoid.

The highest y coordinates are the 6 from point C and the 6 from point D: this means that the line between point C and D is the top line of the trapezoid (parallel to line AB).

Since the length of the midsection is essentially the shorter line of the two parallel lines, it is the length between point C and point D.

(10, 6) - (5, 6) = 5, so the length of the midsection is 5 units.

For the area:

Step 1. Add the lengths of the pair of parallel lines.

5 units + 12 units = 17 units

Step 2. Divide the answer to step 1 by 2.

17 units ÷ 2 = 8.5 units

Step 3. Multiply the answer to step 2 by the height between the two parallel lines.

6.5 units x 6 units = 51 units squared

Hopefully this was what you were looking for!

Bluey :)

Answer:

[tex]CD=4 \text{ cm }[/tex]

Step-by-step explanation:

We have a similarity of triangles. Once the side BC and ED are parallel,

[tex]$\frac{BC}{AC} =\frac{ED}{AD} $[/tex]

[tex]$\frac{10}{AC} =\frac{5}{4} $[/tex]

Once [tex]AC=AD+CD \Rightarrow AC=4+CD[/tex]

[tex]$\frac{10}{4+CD} =\frac{5}{4} $[/tex]

[tex]5CD+20=40[/tex]

[tex]5CD=20[/tex]

[tex]CD=4 \text{ cm }[/tex]

Answer:

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Step-by-step explanation:

Given

[tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Required

Simplify and categorize the result based on their degree and number of terms

Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]

Open bracket

[tex]6x^2 + 2x - 3x - 1[/tex]

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

Open bracket

[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]

[tex]7x^2 + 3x -7x^2 + 4[/tex]

Collect like terms

[tex]7x^2-7x^2 + 3x + 4[/tex]

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Open brackets

[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]

[tex]20x^2-36x+28-20x^2+36x-26[/tex]

Collect like terms

[tex]20x^2-20x^2-36x+36x+28-26[/tex]

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Answer:

36

Step-by-step explanation:

There are 3 * 2 = 6 ways to go from A to C and then 2 * 3 = 6 ways to go from C to A so the answer is 6 * 6 = 36.

Answer:

D

Step-by-step explanation:

2/5 is 40%, so we need to find 40% of 25. .40 x 25 = 10. We see that 31 - 40 has 8 values and 41 to 50 has to, and 8 + 2 = 10, so our answer is D.

Answer:

72 square units.

Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.

Answer:

4 Large coffees

Step-by-step explanation:

4 X $3.00 = $12.00

9 x $2.00 = $18.00

$18.00 (9 small coffees) + $12.00 (4 Large Coffees ) = $30.00

Answer:

4

Step-by-step explanation:

took the test

Answer:

D: X^2-4x-12

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

c  rectangular prism i think

Step-by-step explanation:

Answer:

y = 2x + 125

Step-by-step explanation:

y = mx + c

c in this problem is $125.

It is the amount of money she has already saved, that is not going to change, so this is the y intercept.

She saves $2 every day, with the number of days being x.

So she saves $2 × x = 2x

2x is the gradient.

On your graph, your straight lien should run through 125 on the y-axis.

The line should have a gradient, or slope, of 2x.

Make sure to plot carefully, looking at the scale of the graph.

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Anna is saving to get a few keepsakes on a family excursion. She has previously saved $125, and she saves another $2 from her remittance consistently.

Let 'x' be the number of days and 'y' be the total cost. Then the equation is given as,

y = 2x + 125

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2

Step-by-step explanation:

The answer is actually very simple: the numbers are placed in alphabetical order.

E ight

E ighteen

E leven

F ifteen

F our

F ourteen

N ineteen

O ne

S even

S eventeen

S ix

S ixteen

T en

T hirteen

T hree

T welve

T wo

Answer:

Hope this helps

Step-by-step explanation:

For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:

The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:

So our system is:

Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.

Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.

Both of these are ways to express linear equations.

[tex]y - y_1 = m(x - x_1)[/tex] is the equation for a line with slope m which contains the point [tex](x_1,y_1)[/tex]. This is called point-slope form.

[tex]y = mx + b[/tex] is the equation for a line with slope m and y-intercept b. That is, it contains the point (0, b). This is called slope-intercept form.

Both of these are perfectly valid ways of writing lines, though sometimes one will be easier to use than the other.

Answer:

Hey there!

Both of these can be used to write the equation of the line. However, for the Y-Y1=M(X-X1) equation, we must know one point on the line (X1, Y1) and the slope of the line, while in the Y=MX+B equation, we need to know the slope and the x or y intercept.

For example, we can convert from Y-Y1=M(X-X1) to Y=MX+B

For example, say the point is (2, 3) and the slope is 1

Then, we have Y-3=1(x-2)

This simplifies to Y-3=1x-2

And to Y=X+1

So it is very possible to change from one form to another.

Let me know if you need more help.

Answer:

20 units^3

Step-by-step explanation:

Well the formula for the volume of a box is,

l*w*h

l = 2

h = 2

w = 5

2*2*5

= 20 units^3

Hope this helps :)

Answer:

The volume of a box is:

20 units³

Step-by-step explanation:

The volume formula is:

v = height*width*length

v = 2*5*2

v = 20 units³

Answer:

the answer is just 2

Step-by-step explanation:

start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.

Answer:

x=16

x=8

x=36

Step-by-step explanation:

16÷4=4

8÷4=2

36÷4=9

Answer:

please see the attached picture.

Hope it helps..

Best regards!!

You posted a lot of questions. I'll do the first four problems to get you started.

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

Problem 1

This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14

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

Problem 2

This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.

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

Problem 3

Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82

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

Problem 4

Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27

Answer:

Rectangular Cuboid

Step-by-step explanation:

A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares.  Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape.  Hence, we have the prism, rectangular cuboid.

Answer:

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{1}{90}*-\frac{1}{3}\\\\\frac{1*-1}{90*3}\\\\\frac{-1}{270}\\\\\boxed{-\frac{1}{270}}[/tex]

If a number gets multiplied by it's reciprocal, the product would be one.

[tex]\frac{x}{y}*\frac{y}{x}=1\\\\-\frac{1}{270}*-\frac{270}{1}= 1[/tex]

The reciprocal of the product of the equation is [tex]-\frac{270}{1}[/tex].

Hope this helps.

Answer:

4th choice

Step-by-step explanation:

First we would just solve the equation since that is the easiest way. So 15 would be our a1 or first term and each time the number is being added by  4 so we would get an = -15 + 4(n - 1) for our final answer or the 4th choice

Answer:

option 4

Step-by-step explanation:

-15, -11 , -7 ,......

First term = [tex]a_{1}[/tex] = -15

Common difference = d = 2nd term -  1st term

                                 = -11 - [-15]

                                 = -11 + 15 = 4

Plug in the values of [tex]a_{1}[/tex] & d in the formula

[tex]a_{n} = a_{1} + d (n-1)\\\\a_{n} = -15 + 4*(n-1)[/tex]

Answer:

ok

Step-by-step explanation:

Answer:

[tex]\boxed{92 \: \mathrm{mm}}[/tex]

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (60) = [tex]\frac{80}{x}[/tex]

x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]

x = 92.37604307...

x ≈ 92

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92

Answer:

3

Step-by-step explanation:

(x - 2)^2 + (y - 4)^2 = 9

The equation of a circle is written as

(x-h)^2+ (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x - 2)^2 + (y - 4)^2 = 3^2

The center is ( 2,4) and the radius is 3

Answer:

r = 3

Step-by-step explanation:

The stock equation for a circle of center (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.  Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.

Answer:

(3,1)

Step-by-step explanation:

The rule for a 90 degree clockwise rotation:

[tex](x,y)\rightarrow(y,-x)[/tex]

B is (-1, 3).

Apply the rule:

[tex]\frac{(-1,3)\rightarrow\boxed{(3,1)}}{(x,y)\rightarrow(y,-x)}\\\\3 * 1 = 3\\\\-1 * -1 = 1[/tex]

Option D should be the correct answer.

Answer: 72 inches

Step-by-step explanation:

You are given that equilateral triangle BFC is cut out of square ABCD, since it is an equilateral triangle, that is all sides are equal to each other, we can therefore find the side of a triangle.

Given that the perimeter of square ABCD was 48 inches.

Perimeter of a square = 4L

Substitute 48 into the formula

48 = 4L

L = 48/4 = 12 inches

That means each length = 12 inch

Perimeter P of the shaded figure ABFCDE will be

P = AB + BF + FC + CD + DE + EA

P = 12 + 12 + 12 + 12 + 12 + 12

P = 72 inches

Therefore, the perimeter of ABFCDE is 72 inches.

Answer:

72

Step-by-step explanation:

We know that each side of a square is equal so if the perimeter is 48 then 48/4 = 12 and knowing the bottom of that triangle cut out is 12 we can solve each side 12 since its a equilateral triangle.

12*6= 72 = answer

Answer:

The "top center" one

Step-by-step explanation:

-y=x+3

-Use the slope-intercept form to find the slope and y-intercept. (y=mx+b)

m=1 b=3

-Slope: 1 , y-intercept: 3

X   | y

-3 | 0

 0 | 3

Then you can use a graphing calculator if you'd like !

Answer:

The cost of one pound of sugar is $0.5 and the cost of 10lbs of sugar is $5

Bryan is driving 180 miles

Step-by-step explanation: