Write and solve the equation modeled below.

Answer:

-15/2

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Given:

A figure.

To find:

The value of x and y.

Solution:

In triangle ADC, all angles are equal, so it is an equilateral triangle.

We know that, all sides of an equilateral triangle are equal.

[tex]AD=AC[/tex]       ...(i)

[tex]3x-5=5y-4[/tex]                   ...(ii)

In triangle ABD,

[tex]\angle BAD=\angle ABD[/tex]

Base angles are equal, so triangle ABD is an isosceles triangle.

[tex]AD=BD[/tex]     ...(iii)

Using (i) and (iii), we get

[tex]AC=BD[/tex]

[tex]5y-4=y+12[/tex]

[tex]5y-y=4+12[/tex]

[tex]4y=16[/tex]

Divide both sides by 4.

[tex]y=4[/tex]

Putting y=4 in (ii), we get

[tex]3x-5=5(4)-4[/tex]

[tex]3x-5=20-4[/tex]

[tex]3x-5=16[/tex]

Adding 5 on both sides, we get

[tex]3x=16+5[/tex]

[tex]3x=21[/tex]

Divide both sides by 3.

[tex]x=7/tex]

Therefore, the value of x is 7 and the value of y is 4.

Answer:

- 1

Step-by-step explanation:

y = mx + b ( "m" is slope and "b" is y-intercept )

The equation of a given line is

y = - 2x - 2

Coordinates of x-intercept are ( x, 0 ) ⇒ 0 = - 2x - 2 ⇒ x = - 1

The x-intercept of the line is ( - 1 )

Answer:

0.8

Step-by-step explanation:

rest all of them are 0.08

so correct answer is 0.8

hope it helps!

Answer :D

I would go with the 4th one becuase that number has diffrernt numbers then the other  ones have the same numbers.

Answer:

32%

Step-by-step explanation:

Answer: C

Step-by-step explanation:

$3.50/lb is the unit weight. Since your # of lbs is x it would be 3.50x. Simple

Have a nice day :)

Answer:

m = (g - 5) / (a + 3)

Step-by-step explanation:

g-3m=am+5​

g - 5 = am + 3m

g - 5 = (a + 3)m

(g - 5) / (a + 3) = m

Answer:

[tex]\displaystyle m=\frac{g-5}{3+a}[/tex]

Step-by-step explanation:

Equation Solving

To solve an equation for a specific variable, we perform a sequence of steps to have that variable isolated or make it the subject of the equation.

We are given the expression:

[tex]g - 3m=am+5[/tex]

And it's required to make m the subject of the equation. This means we have to isolate m at the left side of the equation.

First, multiply both sides by -1;

[tex]-g + 3m=-am-5[/tex]

Add am:

[tex]-g + 3m+am=-5[/tex]

Add g:

[tex]3m+am=-5+g[/tex]

The variable m is found in both term, thus we factor it out:

[tex]m(3+a)=g-5[/tex]

Dividing by 3+a:

[tex]\mathbm{\displaystyle m=\frac{g-5}{3+a}}[/tex]

Answer:

D

Step-by-step explanation:

Area = 1/2 a * p

Multiply both sides by 2

2*A = ap

Divide by p

2A / p = a

D

Answer: D

Step-by-step explanation:

Answer:

English translation please.....

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line:  Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1.  Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

8

Step-by-step explanation:

By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.

Answer:

there are 8 6+8=12+2 vertices, and 12 edges

Answer:

9

Step-by-step explanation:

I got it correct.

[tex] \bf {(2x)}^{0} = 1[/tex]

The rule is that any number raised to the power of 0 equals to 1.

So if 2 or 1,000,000 is raised to the power of 0 it equals 1.

But 0 to the power 0 is undefined!

0 to any positive power is 0, so 0 to the power 0 should be 0. But any positive number to the power 0 is 1, so 0 to the power 0 should be 1. We can't have it both ways. Underlying this argument is the same idea as was used in the attempt to define 0 divided by 0.

Step-by-step explanation:

1-a ,2-c,3_d

i thibk is you're answer

Answer: 71 coins

Step-by-step explanation:

First and foremost, we should note that:

12 months = 1 year

2 years = 12 × 2 = 24 months

Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:

= 25 + 2x

where, x = number of months

= 25 + 2(23)

= 25 + 46

= 71 coins

She will have 71 coins after 2 years.

Answer:

4.8 miles

Step-by-step explanation:

First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.

Answer:

x=2

Step-by-step explanation:

25/625 is 1/25

1/25 = 1/5^x

1/5 =sqrt 1/25 and that is 2

so x=2.

Hope this helps plz hit the crown :D

Answer:

FV= $17,321.20

Step-by-step explanation:

Giving the following information:

Annual deposit (A)= $3,000

Number of periods (n)= 5 years

Interest rate (i)= 7.2% = 0.072

To calculate the future value (FV), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {3,000*[(1.072^5) - 1]} / 0.072

FV= $17,321.20

Answer:

10x+4 or 2(5x+2)

Step-by-step explanation:

you just add

Answer:

Guide for how to get your answer and your answer

step 1

   Find roots (zeroes) of :       F(x) = x3-9x-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -7.

step 2

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,7

Lets test

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -7       1        -7.00        -287.00    

     1       1        1.00        -15.00    

     7       1        7.00        273.00

found no rational roots.

(end equation of part 2)  x3 - 9x - 7  = 0

step 4

Solve   x3-9x-7 = 0

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is   F(x) = x3 - 9x - 7

At   x=   -3.00   F(x)  is equal to  -7.00

At   x=   -2.00   F(x)  is equal to  3.00

Intuitively we feel, and justly so, that since  F(x)  is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl,  F(x) is zero,

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

Next Middle will get us close enough to zero:

    F( -0.844759464 ) is  -0.000000848  

    The desired approximation of the solution is:

      x ≓ -0.844759464

0.844759464 is your answer..

Step-by-step explanation:

Answer:

✔️The arithmetic sequence: 16, 11, 6, 1, -4. . .

✔️The Geometric Sequence: ⁵/9, ⁵/3, 5, 15, 45 . . .

✔️Neither is: ½, 1, 2, 3, 4 . . .

Step-by-step explanation:

In an arithmetic sequence, a constant number called common difference is added or subtracted from each term to get the next successive term in the sequence.

On the other hand, in a geometric sequence, a constant number called common ratio is used to multiply or divide each term to get the next successive term in the sequence.

✔️The arithmetic sequence is:

16, 11, 6, 1, -4. . .

This is because it has a common difference of -5. Thus, 5 is subtracted from each term to get the next successive term.

✔️The Geometric Sequence is:

⁵/9, ⁵/3, 5, 15, 45 . . .

The common ratio is 3. Each term is multiplied by 3 to get the next successive term in the sequence.

✔️Neither is:

½, 1, 2, 3, 4 . . .

This sequence lacks either a common difference or a common ratio.

Answer:

$4.00

Step-by-step explanation:

(1.06) = 4.24

x= 4.24/1.06

x= $4.00

Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_1=\dfrac{-4-(-8)}{-1-9}[/tex]

[tex]m_1=\dfrac{-4+8}{-10}[/tex]

[tex]m_1=\dfrac{4}{-10}[/tex]

[tex]m_1=-\dfrac{2}{5}[/tex]

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex](-\dfrac{2}{5})\times m_2=-1[/tex]

[tex]m_2=\dfrac{5}{2}[/tex]

So, slope of perpendicular bisector is [tex]\dfrac{5}{2}[/tex].

Perpendicular bisector passes through the midpoint of given endpoints.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)[/tex]

[tex]Midpoint=\left(4,-6\right)[/tex]

So, perpendicular bisector passes through (4,-6) and having slope [tex]\dfrac{5}{2}[/tex]. The equation of perpendicular bisector is

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

where, m is slope.

[tex]y-(-6)=\dfrac{5}{2}(x-4)[/tex]

[tex]y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)[/tex]

[tex]y+6=\dfrac{5}{2}x-10[/tex]

[tex]y=\dfrac{5}{2}x-10-6[/tex]

[tex]y=\dfrac{5}{2}x-16[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=\dfrac{5}{2}x-16[/tex].

Answer:

225 km

Step-by-step explanation:

D=S*T

D=45*5=225

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

Answer:

1.88, good luck for you

Answer:

1/12^4 the for is small and raised

Step-by-step explanation:

Answer:

the squirrel needs to dig 12 holes.

Step-by-step explanation:

11 x 4 = 44, plus an extra hole for the one acorn left over.

Answer:

4

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

Given the points :

(-5, 2) and (2, 8)

Slope can be obtained by using the relation :

(y2 - y1) / (x2 - x1)

From the points given :

x1 = - 5 ; y1 = 2 ; x2 = 2 ; y2 = 8

(8 - 2) / (2 - (-5))

(8 - 2) / (2 + 5)

6 / 7

Hence, slope between the two points = 6/7