The side of the square ABCD is 8 cm. The length ED of the rectangle EFGB is 10 cm. What is the length of FG

Answer:   x

=

19

1

3

Step-by-step explanation:

6

14

=

7

x

−

3

Rewrite the equation as

7

x

−

3

=

6

14

.

7

x

−

3

=

6

14

Cancel the common factor of

6

and

14

.

Tap for more steps...

7

x

−

3

=

3

7

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

7

⋅

7

=

(

x

−

3

)

⋅

3

Solve the equation for

x

.

Tap for more steps...

x

=

58

3

The result can be shown in multiple forms.

Exact Form:

x

=

58

3

Decimal Form:

x

=

19.

¯

3

Mixed Number Form:

x

=

19

1

3

Answer: 48 feet

In order to get the answer you have to plug 12 into the equation you made in part a.

Firstly, let's check your answer to part A.

We know that there is no y-intercept because the line crosses the origin (0,0).

Let's use the slope formula to find the slope:

[tex]\frac{y2 - y1}{x2 - x1} = \frac{20 - 0}{5-0} = \frac{20}{5} = 4[/tex]

So, the slope is actually 4x.

Now, we go on to answer part b.

y = 4x

Plug in the 12

y = 4(12)

y = 48

Therefore Kelvin will have walked 48 feet after 12 seconds.

I hope this helps!!

- Kay :)

Answer:

D or A cause the answer is 17.2

Step-by-step explanation:

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    [tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]

The determinant

[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]

By using Cramer's Rule

Δ₁ =      [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =



Δ₂ = -5 +35

     

y = Δ₂/Δ =  30

 x - 2y = -7

5x - 9y = -5​

[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]

Answer:

The answer is below

Step-by-step explanation:

Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:

money spent by Jake = 7.65 + 5p

The money spent by Tina who bought 4 pounds of Turkish delight is:

Money spent by Tina = 2.45 + 4p

The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p

Solution,

y = -x-4......(i)

3x + y =- 16.......(ii)

Now,

Substituting the value of y in equation (ii)

or, 3x + (-x-4)= -16

or,3x - x - 4 = -16

or, 2x= -16 +4

or, x = -12/2

: x = -6

Then,

Substituting the value of x in (i) equation;

or,y= -(-6) - 4

or,y= 6 - 4

: y =2

[tex] \sin(c) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(25) = \frac{35}{b} [/tex]

[tex](b) \sin(25) = \frac{35}{b}(b)[/tex]

[tex](b) \sin(25) = 35[/tex]

[tex] \frac{(b) \sin(25) }{ \sin(25) } = \frac{35}{ \sin(25) } [/tex]

[tex]b = \frac{35}{ \sin(25) } [/tex]

[tex]b = 82.8[/tex]

the length of the rope needs to be around 82.8

Answer:

Please check the explanation.

Step-by-step explanation:

                                           6)

Given the line

[tex]y=-\frac{1}{3}x+3[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the line and b is the y-intercept

Thus, the slope of line = -1/3

We know that parallel lines have the same slope.

Hence, the slope of the parallel line is also m=-1/3

So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept

[tex]y=mx+b[/tex]

[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]

Switch sides

[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]

[tex]-1+b=1[/tex]

[tex]b=2[/tex]

Thus, the equation line in slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=-\frac{1}{3}x+2[/tex]

                                             8)

Given the line

[tex]y=\frac{1}{4}x+1[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the line and b is the y-intercept

so the slope of line = 1/4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -4

Thus, subtituting m = -4 and (-1, 4) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]

writing the point-slope form in the slope-intercept form

[tex]y-4=-4\left(x+1\right)[/tex]

add 4 to both sides

[tex]y-4+4=-4\left(x+1\right)+4[/tex]

[tex]y=-4x[/tex]                                

Answer:

- So were x is 0 that is your y-intercept.

y-intercept: 5

- For your slope it is alway Rise over Run and if your slope is negative you might go down instead of up. So for this table your slope is a zero slope because it is going directly across the graph horizontally. Think of it as a stick figure, with a positive slope they walk up the line with a negative they walk down and zero they walk strait on flat ground. so therefore there is no slope.

You always have your y-intercept in you equation

y=mx+b   mx is slope and b is your y-intercept

since your line is not negative or positive and is horizontal a zero slope meaning there is like no slant or angle to your line your equation will look like this.

y=5

because there is no mx (slope) and only a y-intercept

slope: 0

y-intercept: 5

Equation: y=5

Answer:

D. 2.865

Step-by-step explanation:

simply subtract 35.209 from 38.074

Answer: 2.865

Step-by-step explanation:

if this is as simple as i think it is, then you just subtract 35.209 from 38.074. that gets you your answer (2.865).

Answer:

2.13% (rounded to nearest thousandth)

Step-by-step explanation:

You subtract 24 from 23.5 to get 0.5

Then you divide 0.5 by 23.5 to get 0.02127

Then you multiply that by 100 to get your percent error

Taking 24 then using the process of elimination the total percentage that he was off by was 1.05% off

Answer:

4d + 7n + 9y + 18

Step-by-step explanation:

Add like terms, like terms are terms that have the same variable and power, For ex: 4d and 2d are like temrs so u can add them but 4d and 4d^2 are not cause they have different power(the ^2 thing).

(4d+9)+(7n-4)+(9y+5)

add like terms

4d + 7n + 9y + 18

Answer:

C.

Step-by-step explanation:

A negative number divided by a negative number is a positve number.

Answer:

c and d

Step-by-step explanation:

Answer: it is most likeply a solution

Step-by-step explanation:

Answer:

No, the answer is a solution to the inequality.

Step-by-step explanation:

When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the inequality.

2x > 5; x = -4

2(-4) > 5

-8 < 5

The answer is false, because there is no solution to -8 < 5. Therefore, the value is not a solution of the inequality.

Please mark me the brainliest!?!

Answer:

-6

Step-by-step explanation:

4−(3+2)2

Add 3 and 2 to get 5.

4−5×2

Multiply 5 and 2 to get 10.

4−10

Subtract 10 from 4 to get −6.

−6

Answer:

the last one talking about victoria has y dollars

Step-by-step explanation:

x times 12 is equal to y, so the equation is y = 12x

Answer:

10=n/5+6

Step-by-step explanation:

Answer:

2,-1,-2,-1

Step-by-step explanation:

You just replace x with the given numbers

Answer:

9.25

Step-by-step explanation:

15.75 minus 6.50 then you get 9.25

Answer: 2x+12y<3000

Step-by-step explanation:

x intercept: (1,500,0)

y intercept: (0,250)

The linear equation that represents the total cost will be 2x + 12y = 3000.

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.

A mortgage holder is making arrangements to scene her yard. She intends to recruit experts to introduce grass turf in certain pieces of the yard and blossom beds in different parts. Grass turf establishment costs $2 per square foot and blossom bed establishment costs $12 per square foot. Her spending plan for the venture is $3,000.

Let 'x' be the square feet of grass sod and 'y' be the square feet of flower beds. Then the total cost is given as,

2x + 12y = 3000

The linear equation that represents the total cost will be 2x + 12y = 3000.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

3

Step-by-step explanation:

2times3=6

Answer:

Step-by-step explanation:

C=0.14×7,200=1008

Nadia made a total of $1008 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission× number of weeks in 2011

where;

Average weekly commission=$1008

number of weeks in 2011=52

replacing;

Total amount (2011)=(1008×52)=52,416

The total amount Nadia in commission in 2011=$52,416

Answer:

nothing

Step-by-step explanation:

there was no mistake at all he did it all correct he subtract 11 from both sides the divided by 2 correctly.

Answer:

48

Step-by-step explanation:

If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.

Answer:

1

Step-by-step explanation:

you can just use trial and error

I hope that this helps!

Answer:

Step 2

Step-by-step explanation:

Answer: step two

Step-by-step explanation: