All categories

3 years ago

“7a - 17 = 4a +1” Step by step pls

Mathematics

2 answers:

nalin [4]3 years ago

7 0

7a-17=4a+1

7a-4a=1+17

3a=18

a=6

Monica [59]3 years ago

6 0

Answer:

a = 6

Step-by-step explanation:

7a-17 = 4a +1 ; Subtract 4a from both sides

3a - 17 = 1 ; Add 17 to both sides

3a = 18 ; Divide both sides by 3

a = 6

You might be interested in

option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar

motikmotik

Answer:

The equation is given below as

$\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x$

Step 1:

We will work on the left-hand side, we will have

$\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}$

By substituting the identity above, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\ \end{gathered}$

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}$

Here, we will use the definition of subtraction

$\cos x-\frac{\sin^2x}{\cos x}$

Step 3:

We will apply the double number identity given below

$\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}$

By applying this, we will have

$\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}$

Here, we will use the double number identity

$\frac{\cos^2x-\sin^2x}{\cos x}$

5 0

1 year ago

A 10 meter ladder was placed on an angle. The base of the ladder is 5 meters away from the

Olenka [21]

Answer:

5^2 + h^2 = 10^2

Step-by-step explanation:

This is a clear example of the Pythagorean Theorem, a relation of all sides in a right triangle. The equation itself is a^2 + b^2 = c^2. By simply plugging in the given values into the triangle, you would get the answer.

4 0

3 years ago

Read 2 more answers

There are 10 fruits in a basket and 5 of them are apples. Write the ratio in simplest form.

klasskru [66]

Answer:

10:5= 2:1

Step-by-step explanation:

Hope this helped!! Give brainliest..

3 0

3 years ago

Read 2 more answers

What is the ratio of hexagons to rectangles?

Butoxors [25]

Answer:

4:6

Step-by-step explanation:

um there is no picture to count from so i will created a random one which was 4:6

7 0

3 years ago

There are four times as many girls in a chemistry class as there are boys. if there are 45 students in the class, how many boys

puteri [66]

In order to determine the number of boys in the class, first, we set-up an algebraic equation. Let x = number of boys in the class. The equation is then: x + 4x = 45. This is because the number of girls is 4 times greater than the number of boys. After solving the algebraic equation, it is then determined that there are 9 boys in the Chemistry class.

4 0

3 years ago