5a + 5b + 5c = −20
4a + 3b + 3c = −6
−4a + 3b + 3c = 9

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Answer: 3 inches

Step-by-step explanation: quite simple just divide 192 by 64 since it’s a 1 to 64 scale toy car.

Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

Answer:

0

Step-by-step explanation:

its a negative rational number

Answer:

Héctor salió de su casa con 12 euros.

Step-by-step explanation:

Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:

[tex] C = \frac{1}{3}x [/tex]    (1)

Cuando compró una bolsa de palomitas con la cuarta parte:

[tex] P = \frac{1}{4}x [/tex]    (2)                                  

Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:

[tex] x - C - P = 5 [/tex]

[tex] x - \frac{1}{3}x - \frac{1}{4}x = 5 [/tex]

[tex] x = 12 [/tex]

Por lo tanto, Héctor salió de su casa con 12 euros.  

Espero que te sea de utilidad!    

Answer:

x = -6

Step-by-step explanation:

The triangle in the picture is an isoceles triangle in which the measure of top vertex angle is given and one of the base angles is also given.

According to angle sum property of triangle , sum of measure of all the angles of traingle is 180°. Also, in isosceles triangle , the base angles are always equal to each other .

So,

[tex]34 + (x + 79) + (x + 79) = 180[/tex]

[tex] = > 2x + 158 + 34 = 180[/tex]

[tex] = > 2x +192 = 180[/tex]

[tex] = > 2x = 18 0 - 192 = - 12[/tex]

[tex] = > x = \frac{12}{ - 2} = - 6[/tex]

Answer:

8/7

Step-by-step explanation:

(2,-5) (9,3)

3-(-5)=8 because you apply your keep change change

9-2=  7

so 8/7

Answer:

I'm Pretty sure that it is $460.00. 100% sure

Step-by-step explanation:

HAVE A NICE DAY!

Answer:

172 feet taller .

Step-by-step explanation:

just subtract .

Answer:

Casey's Function has the greater rate of change

Step-by-step explanation:

The graph shows a ROC of 5/1

Get a common denominator (4)

5/1 * 4/4 = 20/4

20/4 > 13/4

Casey's function has a greater ROC.

Answer:-1.375

Step-by-step explanation:

Answer:

The answer is B because its the same btw i had the same question and got a 100 on the test :)

Step-by-step explanation:

Answer:

y + 1 = 2(x + 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Slope m = 2

Point (-3, -1)

Step 2: Write Function

Substitute variables into general form.

y + 1 = 2(x + 3)

Answer:

Yes they are similar because of SAS similarity

Step-by-step explanation:

the side lengths are proportional to each other, and the angle in the middle of the sides is the same size, therefore it has Side Angle Side (SAS) similarity.

ΔTSR ~ ΔFEG by the SAS Similarity Theorem

SAS Similarity Theorem states that two triangles with two pairs of proportionate sides and a pair of included angle are similar to each other.

In the image given, the two triangles have:

This means they are similar by the SAS Similarity Theorem.

Therefore, ΔTSR ~ ΔFEG by the SAS Similarity Theorem.

Learn more about SAS Similarity Theorem on:

https://brainly.com/question/12960403

Answer:

m = -1/5

Step-by-step explanation:

Slope is - 1/5

Answer:

The area of the wall is 25ft

Step-by-step explanation:

Answer:

k = 15

Step-by-step explanation:

For a proportional relationship to exist then for both points

k = [tex]\frac{y}{x}[/tex] ← k is the constant of proportion, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{k}{9}[/tex] ( cross- multiply )

3k = 45 ( divide both sides by 3 )

k = 15

Answer:

letters = 46536

Step-by-step explanation:

letters + packages = 50995

letters + 4459 = 50995

letters = 50995 - 4459

letters = 46536

Answer:

B)-7x+y=61

Step-by-step explanation:

y + 5 = 7(x– 8)

y + 5 =(7xX)(7x-8)

y + 5 =(7x)(-56)

y – 5 =(7x)(-56+-5)

y=7x-7x-61/

-7x+y=-61

Answer:

Step-by-step explanation:

The term is called Infinitely Many Solutions. Basically no matter what you plug into the equation, the solution will always come out to be true

Step-by-step explanation:

simultaneous equation

Answer:y=9x-7

Step-by-step explanation:

Answer:

y = 9x - 7

Step-by-step explanation:

Slope-intercept form is y =  mx + b

Y-intercept is where x = 0. In this instance, when x = 0, y = -7 (0, -7)

So at this point we know b = -7.

Then, take one of the values of x, such as 1, as well as the corresponding value of y and plug in. When x = 1, y = 2 (1, 2)

2 = m(1) - 7

Solve for m (slope)

2 = m - 7

Add 7 to both sides to get m alone.

9 = m

Now we know the slope, and the y-intercept, so we can fill in the equation for slope-intercept form for this linear function.

y =  mx + b

y = (9)x + (-7)

y = 9x - 7

Answer:

1/2 is 4/8 and 5/8 is grater than it

Step-by-step explanation:

Answer:

The values of [tex]x[/tex] and [tex]y[/tex] are 10 and 14, respectively.

Step-by-step explanation:

According to the figure, we notice that [tex]AB\equiv BC\equiv AC[/tex] and [tex]\angle A \equiv \angle B\equiv \angle C[/tex], concluding that such triangle is equilateral. Since the sum of internal angles within triangle is equal to 180º, then:

[tex]m \angle A = m \angle B = m \angle C = 60^{\circ}[/tex] (1)

If we know that [tex]m\angle A = 6\cdot x[/tex], then the value of [tex]x[/tex] is:

[tex]6\cdot x = 60^{\circ}[/tex]

[tex]x = 10[/tex]

If we know that [tex]AC = 14[/tex] and [tex]AB = y[/tex], then the value of [tex]y[/tex] is:

[tex]y = 14[/tex]

The values of [tex]x[/tex] and [tex]y[/tex] are 10 and 14, respectively.

Answer:

x=10

y=14

Step-by-step explanation:

Answer:

y =  [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Given coordinate:

          ( − 6 , − 1 )

Equation of the given line is  6x− y = 7

Unknown:

Equation of the line that passes through the point and is perpendicular = ?

Solution:

A perpendicular line will have a slope that is of negative inverse to the one given;

              6x  - y  = 7

                     -y  = -6x  + 7

                     y  = 6x - 7

According to y= mx + c

 y and x are the coordinates

    m is the slope

     c is the y-intercept

Therefore, the slope of the line  = 6

  Perpendicular to this = [tex]-\frac{1}{6}[/tex]

 The new line will be;

       Let find the intercept;

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

             -1  = 1 + c

               c = -2

The new line is;

              y =  [tex]-\frac{1}{6}[/tex] x - 2

Answer:

starting amount in his savings account

Step-by-step explanation:

Answer:

B) Sometimes

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

Answer:The rate of the slower hiker is 2.2 mph and the rate of the faster hiker is 5.5 mph

Explanation:

One hiker walks 3.3 mph faster than the other.

Suppose, the speed of the slower hiker is  mph.

So, the speed of the faster hiker will be:  

Both hikers are walking toward each other and meet in 10 hours.

We know that,  

So, the distance walked by the slower hiker in 10 hours  miles and the distance walked by the faster hiker in 10 hours

miles.

Given that, they were 77 miles apart in the beginning. So the equation will be

Answer:

y = 2/x

Step-by-step explanation:

It just feels right... ya know?