Which pair shoes equivalent expressions

9514 1404 393

Answer:

  (x, y) = (4, 1)

Step-by-step explanation:

Step 1. Look for an equation that has a coefficient of 1 or -1 for one of the variables. Here, that is the first equation, which has a y-coefficient of -1.

Step 2. If you found such an equation, solve for the variable.

  y = 2x -7

Step 3. Use that expression for the variable to substitute into the other equation.

  3x -2(2x -7) = 10

Step 4. Solve the resulting equation in the usual way.

  3x -4x +14 = 10 . . . . . eliminate parentheses

  -x +14 = 10 . . . . . . . collect terms

  4 = x  . . . . . . . . . separate variable terms and constant terms. Here, we added x-10 to both sides.

If the variable has a coefficient that is not 1, divide both sides by that coefficient.

Now, you can use this value in the expression for y that we found above.

  y = 2(4) -7 = 1

The solution is (x, y) = (4, 1).

Answer:

Step-by-step explanation:

that's an equilateral triangle, 3 equal side and 3 equal angles of 60°,

so 10x + 20 = 60

solve with an equation

10x + 20 = 60

10x = 60 - 20

10x = 40

x = 40 : 10

x = 4

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

check

10 * 4 + 20 =

60°

the answer is good

Answer:

They are b and c. (Step-by-step explanation:Let's simplify each expression: a. b+2 (b+2b)= b + 2b + 4b = 7b.b. 3b + b = 4b.c. 2(2b) = 2 ...

They are b and c.

Step-by-step explanation:

Let's simplify each expression:

a. b+2 (b+2b)

= b + 2b + 4b = 7b.

b.  3b + b = 4b.

c. 2(2b) = 2 * 2b = 4b.

Answer:

8x + 6 = 2 * (5x - 2)

x = 5

OP = 46

Step-by-step explanation:

The Triangle Midsegment Theorem

A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.

So,  PO =  2 * SQ

8x + 6 = 2 * (5x - 2)

8x + 6 = 10x - 4

6 + 4 = 10x - 8x

10 = 2x

x = 5

OP = 8x + 6

= 8 * 5 + 6

= 40 + 6

= 46

Answer:

[tex]x=\frac{-3+\sqrt{29} }{10}[/tex] and [tex]x=\frac{-3-\sqrt{29} }{10}[/tex]

Step-by-step explanation:

Solution is attached

Answer:

X= 1

Step-by-step explanation:

5x^2 +5x-4=2x-3.        25x+5x=30x

25x+5x-4=2x-3.          

30x-4=2x-3.          30x-2= 28x

28x-4=-3

add +4 to both sides

28x/28 = 1/28

x=1

The equation isn't written out so I can't be sure but here are possible answers.

2.2 divided by 6 is 0.36. 0.36 minus 2 is -1.64.

6 minus 2 is 4. 2.2 divided by 4 is 0.55.

Answer:

The answer is "B"

Hope it helps you :D

BE SAFE!

Answer: what type of math is that?

Step-by-step explanation:

Answer:

4x+2(x+5)+1 simplified is 6x+11

Step-by-step explanation:

Answer:

D. 13

Step-by-step explanation:

Answer:

I'd pick 13

Step-by-step explanation:

Let M (-12,5) be the given point and O (0,0) be the origin.

Answer:

69

Step-by-step explanation:

An = a1 + (n-1)d

An = 156 + (30-1) -3 = 69

Answer:

Step-by-step explanation:

-80

Do you need a equation for that?

y=4x+3

Answer:

Step-by-step explanation:

a, what is the equation of the line that goes through these points in Slope-intercept Form?  

If two lines are parallel, their slopes are equal.  Thus the new line has the same slope as does the old one:  m = -3.  We adapt the slope-intercept form y = mx + b to 5 = (-3)(2) + b and find that b = -11.  Then the desired equation is y = -3x - 11.  This is in slope-intercept form.

b. What is the x-intercept?  Start with the above y = -3x - 11.  Set y = 0 and solve the result, 0 = -3x - 11, for x:  x = -11/3.  Then the x-intercept is (-11/3, 0); this is the point at which the graph crosses the x-axis.

c. What is the y-intercept:  Set x = 0 in the above equation.  We get y = -11.

The y-intercept is thus (0, -11).

Answer:

2

Hope this helps, have a nice day/night

Also, sry for no explaination :(

#a

Area:-

[tex]\\ \sf\longmapsto \dfrac{a+b}{2}h[/tex]

[tex]\\ \sf\longmapsto \dfrac{10+6}{2}(4)[/tex]

[tex]\\ \sf\longmapsto 16(2)=32in^2[/tex]

#2

USING PYTHAGOREAN THEOREM

[tex]\\ \sf\longmapsto B^2=8.5^2-7.5^2[/tex]

[tex]\\ \sf\longmapsto B^2=72.25-56.25[/tex]

[tex]\\ \sf\longmapsto B^2=16[/tex]

[tex]\\ \sf\longmapsto B=4[/tex]

Area

[tex]\\ \sf\longmapsto LB[/tex]

[tex]\\ \sf\longmapsto 7.5(4)[/tex]

[tex]\\ \sf\longmapsto 30in^2[/tex]

Answer:

C. y = | x | – 13

Step-by-step explanation:

y = | x | – 13

Answer:

y = |x| -13

Step-by-step explanation:

recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).

If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)

In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)

hence we add a= -13 to the original function.

y = f(x) + (-13)

y = |x| + (-13)

y = |x| -13

Answer:

100π

Step-by-step explanation:

V = (4/3)πr^3

(500/3)π = (4/3)πr^3

r^3 = 125

r = 5

Surface area of sphere = 4πr^2

= 4π(5^2) = 100π

Answer:

The distance is 4 units.

Step-by-step explanation:

Let the distance between the two points (x₁, y₁) and (x₂, y₂) is

d = √(x₂ - x₁)² + (y₂ - y₁)²

Here, the given points are (2,8) and (6,8), therefore,

x₁ = 2, x₂ = 6,

y₁ = 8, y₂ = 8

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(6 - 2)² + (8 - 8)²

d = √(4)² + (0)²

d = √16

d = 4

Thus, The distance is 4 units.

-TheUnknownScientist 72

Answer:

A. 6/3=4/a

B. 6/4=3/a

Step-by-step explanation:

I just did it and got it right

Two or more expressions with an Equal sign is called as Equation.

6/3=4/a is the correct equation of the scaled figures

Two or more expressions with an Equal sign is called as Equation.

Given that,

f ​is a scaled copy of Figure e

The process of increasing or decreasing a figure with a factor is called as scaling.

Given that segment AB=6

CD=3

XY=4

ZW=a

Figure e is decreased to produce figure f, hence:

AB/XY = CD / WZ

Six divided by four equal to three divided by a

6/4=3/a

Six divided by three equal to four by a

6/3=4/a

Hence 6/3=4/a is the correct equation of the scaled figures

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answers:

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

Explanation:

In triangle P, aka triangle ABC, we have the color coded angles:

For triangle Q, aka triangle XYZ, we have:

The colors must pair up to match together. The order is important. That order being "blue, purple, red".

Because of this, we have the three pairs of congruent angles:

Furthermore, that extends to having these pair of corresponding sides that match up together:

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

Side AC = 7 involves the blue and red angles. The same applies to XZ = 21.

The jump from 7 to 21 is "times 3", which tells us the scale factor. The triangle XYZ has side lengths 3 times longer compared to triangle ABC.

We'll use this scale factor to determine the missing sides of each triangle.

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

Side BC = 5 involves the purple and red angles. For the other triangle, side ZY involves those same color angles. Going from BC = 5 to ZY = unknown will involve the "times 3" operation. So we have,

ZY = 3*BC = 3*5 = 15

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

Side AB = unknown pairs up with side XY = 27 of the other triangle. Each side mentioned involves the blue and purple angles.

Instead of multiplying, we'll do the opposite: we divide 27 by 3 to get the side of AB.

This is because:

XY = 3*AB

AB = XY/3

AB = 27/3

AB = 9

Answer:

The ones you circled are right I believe its just small errors in your notations. I am not sure if the justifications are correct or not.

4 might just be a labelling of the line error. Say line AD is parallel to line BE and line AC is parallel to BD

6 all the lines you circled are all parallel to each other, not two separate pairs

Answer:

a 33 I think

Step-by-step explanation:

i am not really good at that

Answer:

B. 46

10% of 200 is 20 so 23% of 200 is 46

Answer:

I think the answer is ∆ BLG~=∆PFX.

Step-by-step explanation:

Answer:

5,243 feet

Step-by-step explanation:

rate × time = distance

7 × 749 = 5,243

I hope this helps!

Answer:

Step-by-step explanation:

∠AHE + ∠AHK = 180    {linear pair}

6x + 7 + 35 = 180

6x + 42 = 180

          6x = 180 - 42

          6x = 138

            x = 138/6

            x = 23