A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has one solution?

A.
x = x
B. x= 3
C. 1=1
D. 1 = 3

Answer:

The answer is A!

Step-by-step explanation:

Answer:I believe the answer is e

Step-by-step explanation:

Answer:

[tex]y=(x+3)(x+1)[/tex]

Step-by-step explanation:

[tex]y=x^2+4x+3[/tex] <-- Given

[tex]y=x^2+x+3x+3[/tex] <-- Expand middle term

[tex]y=x(x+1)+3(x+1)[/tex] <-- Factor into two parts

[tex]y=(x+3)(x+1)[/tex] <-- Combine like terms

Answer:

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

7x+8y=32

Just do pemdas

Answer:

7x+8y=32

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]y=-\frac{7x}{8} +4[/tex]

And we want to convert it into standard form

Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative

a is the coefficient in front of x and b is the coefficient in front of y

Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.

[tex]y=-\frac{7x}{8} +4[/tex]

+[tex]\frac{7x}{8}[/tex]   +[tex]\frac{7x}{8}[/tex]

_________________

[tex]\frac{7x}{8} + y =4[/tex]

Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).

We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.

[tex]8(\frac{7x}{8} + y) =8(4)[/tex]

Now doing the distributive property:

[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]

Multiply each term by 8.

7x + 8y = 32

Hope this helps!

Answer:

40 + 12i

Step-by-step explanation:

note that i² = - 1

2i(4.5 - 20i) + 3i ← distribute parenthesis by 2i

= 9i - 40i² + 3i

= 9i - 40(- 1) + 3i

= 9i + 40 + 3i

= 40 + 12i

Answer:

[tex]22\frac{1}{2}[/tex]

Step-by-step explanation:

(4.5)(5) = 22.5

[tex]22.5 = 22\frac{1}{2}[/tex]

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

Answer:

m = 1/9

Step-by-step explanation:

Given:

x = 10

y = 8

x1 = 1

y1 = 9

Solution:

y - y1 = m ( x - x1 )

9 - 8 = m ( 10 - 1 )

1 = 9m

m = 1/9

Answer:

See below

Step-by-step explanation:

[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]

[tex]2v+4=8[/tex] <-- Resulting equation after first step

[tex]2v=4[/tex]

[tex]v=2[/tex] <-- Actual solution

Answer:

5. alternate interior angles

7. angle addition postulate

Answer:

192

Step-by-step explanation:

multiply by each side to find the answer. 4x2 is 8 and 8 x 24 is 192. Which ever order you multiply the numbers in you will always get 192. Hope this helps ^^

Answer:

the answer is c

Step-by-step explanation:

Answer:

112300

Step-by-step explanation:

50+10+23*61*80

=60+23*61*80

=60+112240

=112300

The answer 112300, hope this helped :)

Answer:

I think the answer is 112,300.

Answer:

The answer is C.

Just trust me.

Answer:

y       t

_  = _

2     1

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

Answer:

Its easy

Step-by-step explanation:

[tex]20 = 5 \times 4[/tex]

[tex]20 = 5 \times x \\ x = 4[/tex]

So we know the x is four so it will be like this

[tex]6 \times 4 =x \\ x = 24[/tex]

So there were sold 24 chocolate milks

Hope this helps

Answer:

24

Step-by-step explanation:

because

5____6

20___x

Proportion: x=20*6/5=24

Answer:

B=-9

Step-by-step explanation:

Technically, I didn't solve it. I used an algebra calculator online called m a t h w a y. It helps a lot but if you really need to know how to solve it on pencil and paper I cannot help you.

I had to space out the website so it let me submit this answer btw

Answer: -9

Step-by-step explanation:

2b-3(1+b)=-3(b+7)

2b-3+3b=-3b+-21

5b-3=-3b+-21

-21+3=-18

2b=-18

-18/2=-9

Answer:

Answer: 4

Step-by-step explanation:

Answer:

tha.nks for the p.oints buddy!

Answer:

it's so blury pls fix the picture so I can solve it NOW

Answer:

the answer to this question is $32.96

Answer:

Step-by-step explanation:

24.5 just multiply hope that helpss

Answer:

61.2$

Step-by-step explanation:

I think that's how it's done.

Answer:

the answer is 34°

Step-by-step explanation:

a straight line = 180°

just do 180 - 146 = 34

Answer:

Yes

Step-by-step explanation:

1 hour = 60 min

25 hours = 60 x 25 min