1) For what values is the statement true? sin(x+20)°=cos(y−10

<img src="https://tex.z-dn.net/?f=%20-%2032%20%2B%204%20x%20%3D%205%28%20-%207%20%2B%20x%29" id="TexFormula1" title=" - 32 + 4 x

harkovskaia [24]

$\bf -32+4x=5(-7+x)\implies -32+4x=\stackrel{\textit{distributing}}{-35+5x} \\\\\\ \stackrel{\textit{subtracting 4x to both sides}}{-32=-35+x}\implies \stackrel{\textit{adding 35 to both sides}}{3=x}$

7 0

3 years ago

X+1/3y=4 in slope intercept form EXPLAIN

shepuryov [24]

Answer:

4

x

−

1

3

y

=

−

2

To convert this equation to slope-intercept form, solve for

y

.

Subtract

4

x

from both sides.

−

1

3

y

=

−

2

−

4

x

Simplify

−

1

3

y

to

−

y

3

−

y

3

=

−

2

−

4

x

Multiply both sides times

3

.

−

y

=

−

2

(

3

)

−

4

x

(

3

)

Simplify.

−

y

=

−

6

−

12

x

Rearrange the right side.

−

y

=

−

12

x

−

6

Multiply both sides times

−

1

.

y

=

12

x

+

6

m

=

12

and

b

=

6

.

Step-by-step explanation:

6 0

2 years ago

A saxophone costs $1200. A store offers two loan options. Which options saves more money if you pay the loan in 2 years?

avanturin [10]

Option 2.)
(Please correct me if I'm wrong)

8 0

3 years ago

Theresa is 14 years younger than her brother Jonathan. Together, their total age in years is 35. A) How many years old is Theres

ikadub [295]

A) The age of Theresa is 10 years 6 months old

B) Jonathan age is 24 years and 6 months old

Solution:

Given, Theresa is 14 years younger than her brother Jonathan.

Let the age of Theresa be "n" years

Then the age of Jonathan will be "n + 14" years

Together, their total age in years is 35

A) Finding age of Theresa:

Jonathan age + Theresa age = 35

n + 14 + n = 35

2n + 14 = 35

2n = 35 - 14

2n = 21

n = 10.5

So, age of Theresa is 10 years 6 months

B) Finding age of Jonathan

Now, we know that n = 10.5

Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years

So, Jonathan is 24 years and 6 months old

4 0

3 years ago

What is the solution set represented by this number line graph

Maru [420]

Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

6 0

2 years ago