Diagram 7 shows a trapezium ABCD. The straight lines AB and CD are parallel.Find
(a) the equation of the straight lines CD

(b)the x-intercept for the straight line CD

Answer:

x=3, y=6

Step-by-step explanation:

4x-y =6

3x+2y = 21

To use elimination we will multiply the first equation by 2

2(4x-y) =6*2

8x -2y =12

We will add this equation to the second equation to eliminate y

8x -2y =12

3x+2y = 21

-----------------

11x = 33

Divide each side by 11

11x/11 = 33/11

x =3

We still need to solve for y

3x+2y = 21

Substituting x=3

3*3+2y = 21

9+2y =21

Subtract 9 from each side

9-9+2y = 21-9

2y = 12

2y/2 = 12/2

y =6

Answer:

1563.2

Step-by-step explanation:

The value of 3 in 156.32 is 0.3

The value of 3 in 1563.2 is 3

So 0.3 × 10 = 3

Answer:

What you need???

Step-by-step explanation:

Answer:

I will be willing to help

Step-by-step explanation:

1. tell me what ur questions are

2. i will answer them

3. U use the answers for ur personal use

4. U thank me

5. Hope I can help

Answer: vertical asymptotes: x = 2, x = -2

              horizontal asyptote: y = 3

Step-by-step explanation:

[tex]\dfrac{3x^2}{x^2-4}[/tex]

Vertical Asymptotes are the restrictions on "x", which is denoted by the denominator being unequal to zero.

x² - 4 = 0

(x + 2)(x - 2) = 0

x + 2 = 0      and       x - 2 = 0

     x = -2     and             x = -2

Horizontal Asymptotes are determined by the degree of the numerator (n) compared to the degree of the denominator (m) as follows:

In the given problem, the degree of both the numerator and denominator is 2 so horizontal asymptote is: [tex]y = \dfrac{3}{1} = 3[/tex]

Answer:

[tex]m\angle M=90[/tex]

[tex]m\angle A=63[/tex]

[tex]m\angle N=27[/tex]

[tex]\Delta MAN[/tex] is a right triangle.

Step-by-step explanation:

Since we know that sum of all angles of triangles equals to 180 degrees.

To find the measure of our given angles we will have to find the value of x. The value of x can be found by equating the measure of all angles of our given triangle with 180.

[tex]4x-5+9x-9+10x+10=180[/tex]  

[tex]23x-14+10=180[/tex]  

[tex]23x-4=180[/tex]  

[tex]23x=180+4[/tex]

[tex]23x=184[/tex]  

[tex]x=\frac{184}{23}[/tex]

[tex]x=8[/tex]    

Now let us find measure of each angle by substituting value of x in given expressions.

[tex]m\angle M=10*x+10[/tex]

[tex]m\angle M=10*8+10[/tex]

[tex]m\angle M=80+10[/tex]

[tex]m\angle M=90[/tex]

Therefore, measure of angle M is 90 degrees.

[tex]m\angle A=9*x-9[/tex]

[tex]m\angle A=9*8-9[/tex]

[tex]m\angle A=72-9[/tex]

[tex]m\angle A=63[/tex]

Therefore, measure of angle A is 63 degrees.

[tex]m\angle N=4*x-5[/tex]

[tex]m\angle N=4*8-5[/tex]

[tex]m\angle N=32-5[/tex]

[tex]m\angle N=27[/tex]

Therefore, measure of angle N is 27 degrees.

From the measures of angles we can say that triangle MAN is a right triangle.

Answer:

[tex]S_{10}[/tex] = - 30

Step-by-step explanation:

For a given arithmetic sequence the n th term formula is

[tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]t_{1}[/tex] the first term

We have to find d and [tex]t_{1}[/tex]

from the given information we can write 2 equations and solve for d and [tex]t_{1}[/tex]

[tex]t_{6}[/tex] = [tex]t_{1}[/tex] + 5d = - 4 → (1)

[tex]t_{10}[/tex] = [tex]t_{1}[/tex] + 9d = - 12 → (2)

subtract (1) from (2) term by term

4d = - 8 ⇒ d = - 2

substitute d = - 2 in (1)

[tex]t_{1}[/tex] - 10 = - 4 ⇒ [tex]t_{1}[/tex] = - 4 + 10 = 6

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][2[tex]t_{1}[/tex] + (n - 1)d ], hence

[tex]S_{10}[/tex] = 5[(2 × 6) + (9 × - 2) ] = 5(12 - 18) = 5 × - 6 = - 30

Answer:

y=  5x + 3

Step-by-step explanation:

This is because you solve for slope, which is 5, then plug that into point slope form to get:

y - 8 = 5(x - 1)

y - 8 = 5x - 5

y = 5x  + 3.

Answer:

y = 5x + 3

Step-by-step explanation:

Step 1. Find the slope

Each time x increases by 1 unit, y increases by 5 units.

m = slope = 5/1 = 5

Step 2. Find the y-intercept.

y = mx + b

When x = 4, y = 23.

23 = 5×4 + b

23 = 20 +b

 b = 3

y = 5x + 3

The graph is a straight line with slope m = 5 and a y-intercept at y = 3.

Answer:

t=3

Step-by-step explanation:

Simplifying

5 + -1(t + 3) = -1 + 2(t + -3)   Reorder the terms:

5 + -1(3 + t) = -1 + 2(t + -3)

5 + (3 * -1 + t * -1) = -1 + 2(t + -3)

5 + (-3 + -1t) = -1 + 2(t + -3)

Combine like terms: 5 + -3 = 2

2 + -1t = -1 + 2(t + -3)

Reorder the terms:

2 + -1t = -1 + 2(-3 + t)

2 + -1t = -1 + (-3 * 2 + t * 2)

2 + -1t = -1 + (-6 + 2t)

Combine like terms: -1 + -6 = -7

2 + -1t = -7 + 2t

Solving

2 + -1t = -7 + 2t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-2t' to each side of the equation.

2 + -1t + -2t = -7 + 2t + -2t

Combine like terms: -1t + -2t = -3t

2 + -3t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0

2 + -3t = -7 + 0

2 + -3t = -7

Add '-2' to each side of the equation.

2 + -2 + -3t = -7 + -2

Combine like terms: 2 + -2 = 0

0 + -3t = -7 + -2

-3t = -7 + -2

Combine like terms: -7 + -2 = -9

-3t = -9

Divide each side by '-3'.

t = 3

Simplifying

t = 3

Answer: Try checking B

Step-by-step explanation:

Answer: lower right hand corner

In this corner is an expression that has "pi" in it that doesn't cancel out like it does in the upper left hand corner. The number pi is irrational because it cannot be written as a fraction of two whole numbers. We can sorta get close when we say 22/7 = 3.14129 but the more accurate version of pi is pi = 3.14159; however we cannot get an exact match.

Answer:

The money earned by Drea was [tex]\$225[/tex]

The money earned by Sajini was [tex]\$200[/tex]

Step-by-step explanation:

Let

x------> money earned by Drea

y------> money earned by Sajini

we know that

[tex]x+y=425[/tex] -----> equation A

[tex]x=y+25[/tex] ----> equation B

substitute equation B in equation A

[tex](y+25)+y=425[/tex]

solve for y

[tex]2y=425-25[/tex]

[tex]y=400/2=\$200[/tex]

Find the value of x

[tex]x=y+25[/tex] ----> [tex]x=200+25=\$225[/tex]

using a graphing tool

solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is [tex](225,200)[/tex]

see the attached figure

Answer:

Drea: $225

Sajini: $200

Step-by-step explanation:

D + S = 425

D = S + 25

S + 25 + S = 425

2S = 400

S = 200

D = 200 + 25 = 225

Answer:

b is 63, not -63

Step-by-step explanation:

Answer:

-2 degrees per hour

-63 m

Step-by-step explanation:

Cooled means the temperature is decreasing

-14 degrees/7 hours

-2 degrees per hour

The total change in elevation will be a negative number

(-3*21) =

 -63 m

Answer:

[tex]d =30g[/tex]

Step-by-step explanation:

Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g)

Distance d= 15

Gallons of gas (g)= 1/2

Equation is d= rg

Now plug in the values

15 = r* 1/2

Now we divide by 1/2 on both sides

[tex]r=\frac{15}{\frac{1}{2}}=15 * \frac{2}{1}= 30[/tex]

r=30

Now we replace the value of 'r' in the equation d=rg

[tex]d = 30g[/tex]

To find Plato's Algebra 1 answers, it's important to understand the principles of algebra, apply them to solve problems, and practice regularly. Seek help from tutors, textbooks, and online resources, and strive to understand the process, not just find the answers.

Finding answers to Plato's Algebra involves understanding the concepts and principles of Algebra, applying these to solve problems, and continuously practising. Consider seeking help from your teacher, using textbooks, online resources, and practicing more problems. Whatever resources you use, it's crucial to check your answers with a credible source. Remember, the goal is not only to find the answers but to understand how to solve different algebraic problems.

In Algebra 1, you will come across different topics such as equations, inequalities, functions, and graphing. Each topic requires understanding the fundamental concepts and practising the exercises.

For example, if you're solving a linear equation, it's important to know that what you do on one side of the = sign has to be done on the other side to maintain balance. With lots of practice, Algebra 1 will become easier to grasp.

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Answer: its D $721.50

Answer:

Math

Step-by-step explanation:

Answer:

D. 51%

Step-by-step explanation:

Answer:

A.

Carla is correct because 3.5 × 14 is less than 50.

Step-by-step explanation:

3.5m ≥ 50

To determine how many miles she needs to run, divide each side by 3.5

3.5m/3.5  3.5m ≥ 50 50/3.5

m ≥ 14.28571429

She must run more than 14 miles

Carla is correct because 14* 3.5 = 49.  That is less than the 50 she wants to raise.

Choice C for problem 6 is correct. The two angles (65 and 25) add to 90 degrees, proving they are complementary angles.

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

The answer to problem 7 is also choice C and here's why

To find the midpoint, we add up the x coordinates and divide by 2. The two points A(-5,3) and B(3,3) have x coordinates of -5 and 3 respectively. They add to -5+3 = -2 which cuts in half to get -1. This means C has to be the answer as it's the only choice with x = -1 as an x coordinate.

Let's keep going to find the y coordinate of the midpoint. The points A(-5,3) and B(3,3) have y coordinates of y = 3 and y = 3, they add to 3+3 = 6 which cuts in half to get 3. The midpoint has the same y coordinate as the other two points

So that is why the midpoint is (-1,3)

Answer:

It's B.

Step-by-step explanation:

(x, y) ---> (x + 3, y - 1)

Using point X as an example:

(x, y) ---> (x + 3, y - 1)

(0, 0) ---> (0 + 3, 0 -1)

(0, 0) ---> (3, -1)

The algebraic rule that describes the transformations is;

B) (x, y) → (x + 3, y − 1)

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, A graph where we can see a Graph of a triangle XYZ that transforms to become x'y'z'.

Since the given graph is transformed not scaled.

Thus, the dimension will be the same and we can justify the means by just Calculating for one point.

For Point x:

Original coordinates os x = (0, 0)

coordinates of the x after transformation = (3, -1)

Thus,

horizontal displacement in X = +3

vertical displacement in X = -1

therefore, (x, y) → (x + 3, y − 1) is the algebraic rule that describes the transformation.

Learn more about coordinates here:

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Answer:

y=1/3x+8

Step-by-step explanation:

you can use the formula y=mx+b

y=1/3x-1

10=1/3*6+b

10=2+b

b=8

y=1/3x+8

Answer:

Step-by-step explanation:

8

She will need 8 scoops for the recipe if the baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A baker has 2 2/3 cups of flour for her recipe

2 2/3 = 8/3

She only has a 1/3 cup scoop.

Scoops she will need for the recipe = (8/3)/(1/3) = 8

Thus, she will need 8 scoops for the recipe if the baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop.

Learn more about the fraction here:

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Answer:

It's 3/2p!

Step-by-step explanation:

Because Helen do the same number of exercises on 2 days, the time to do and the average rate are  inversely proportional!

So, if on Monday, Helen's average rate is p then on the next day, her average rate is:

p × 3 ÷ 2 = [tex]\frac{3p}{2}[/tex]

=3/2p

Brainliest?

Answer:

y=mx+b;  y=-3x+-4

Step-by-step explanation:

Substitute the slope, and the y-intercept in place of m and b

Answer: [tex] (y+4)=-3(x+1)[/tex]

Step-by-step explanation:

We know that the equation a line in point-slope form having slope m and passing through point (a,b) is given by :-

[tex](y-b)=m(x-a)[/tex]

Then , the equation a line in point-slope form having slope '-3' and passing through point (-1,-4) is given by :-

[tex](y-(-4))=-3(x-(-1))\\\\\Righarrow\ (y+4)=-3(x+1)[/tex]

Hello from MrBillDoesMath!

Answer:

Sum = -119,962                    ( I hope!)

Discussion:

Let's determine the pattern.

first term:  -3

2nd term:  (-3) * (-6) = 18                     (multiply first term by -6)

3rd  term:  (18) * (-6) = -108                 (multiply 2nd term by -6)

4th term :  (-108)*(-6) = 648                ( etc)

5th term :  (648)*(-6) =  -3888            (etc)

6th term :  (-3888)*(-6) = 23328         (etc)

7th term:   (23328)*(-6) =  -139967     (etc)

Sum = -119,962

A simpler way to do this is to use the formula for the sum of a geometric series to n terms. The series is

-3  Sum ( -6)^n                n = 0, 1, 2, 3, 4, 5, 6

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

Answer:

0.0053285968

Step-by-step explanation:

i am not srry

Answer:

187 r 2

Step-by-step explanation:

563/3

3 into 5=1 r 2

bring down the 2

3 into 26= 8 r 2

bring down the 2

3 into 23=7 r 2

Answer:

4

Step-by-step explanation:

Answer:

50 dollars

Step-by-step explanation:

If you have a 20% discount,that means you pay for 80% of your items. So to find percent you make 80 percent 0.8 and then multiply by 62.50.

Answer:

$10

Step-by-step explanation:

You would multiply $62.50 by 20% or .2 to find the discount which is $10. If you need to find the sale price you would subtract $62.50 - $10 = $52.50.

Your discount amount is $10

Your Sale Price is $52.50