Ask question

Ask question

All categories

3 years ago

8

(4x+3) = (7x-6) more math :)

2 answers:

Sphinxa [80]3 years ago

7 0

Answer:

Step-by-step explanation:

4x+3=7x-6

Add six to both sides

4x+9=7x

Than subtract four x on both sides

9/3=3x

Than divide by 3 on both sides

Than the answer will be

X=3

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

X=3

Step-by-step explanation:

You might be interested in

Mariulka [41]

Answer:

$A = 74.7^\circ$

$B = 42.5^\circ$

$C = 62.8^\circ$

Step-by-step explanation:

Given

$A = (-1,2) \to (x_1,y_1)$

$B = (2,8) \to (x_2,y_2)$

$C = (4,1) \to (x_3,y_3)$

Required

The measure of each angle

First, we calculate the length of the three sides of the triangle.

This is calculated using distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

For AB

$A = (-1,2) \to (x_1,y_1)$

$B = (2,8) \to (x_2,y_2)$

$d = \sqrt{(-1 - 2)^2 + (2 - 8)^2$

$d = \sqrt{(-3)^2 + (-6)^2$

$d = \sqrt{45$

So:

$AB = \sqrt{45$

For BC

$B = (2,8) \to (x_2,y_2)$

$C = (4,1) \to (x_3,y_3)$

$BC = \sqrt{(2 - 4)^2 + (8 - 1)^2$

$BC = \sqrt{(-2)^2 + (7)^2$

$BC = \sqrt{53$

For AC

$A = (-1,2) \to (x_1,y_1)$

$C = (4,1) \to (x_3,y_3)$

$AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2$

$AC = \sqrt{(-5)^2 + (1)^2$

$AC = \sqrt{26$

So, we have:

$AB = \sqrt{45$

$BC = \sqrt{53$

$AC = \sqrt{26$

By representation

$AB \to c$

$BC \to a$

$AC \to b$

So, we have:

$a = \sqrt{53$

$b = \sqrt{26$

$c = \sqrt{45$

By cosine laws, the angles are calculated using:

$a^2 = b^2 + c^2 -2bc \cos A$

$b^2 = a^2 + c^2 -2ac \cos B$

$c^2 = a^2 + b^2 -2ab\ cos C$

$a^2 = b^2 + c^2 -2bc \cos A$

$(\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A$

$53 = 26 +45 - 2 * 34.21 * \cos A$

$53 = 26 +45 - 68.42 * \cos A$

Collect like terms

$53 - 26 -45 = - 68.42 * \cos A$

$-18 = - 68.42 * \cos A$

Solve for $\cos A$

$\cos A =\frac{-18}{-68.42}$

$\cos A =0.2631$

Take arc cos of both sides

$A =\cos^{-1}(0.2631)$

$A = 74.7^\circ$

$b^2 = a^2 + c^2 -2ac \cos B$

$(\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B$

$26 = 53 +45 -97.67 * \cos B$

Collect like terms

$26 - 53 -45= -97.67 * \cos B$

$-72= -97.67 * \cos B$

Solve for $\cos B$

$\cos B = \frac{-72}{-97.67}$

$\cos B = 0.7372$

Take arc cos of both sides

$B = \cos^{-1}(0.7372)$

$B = 42.5^\circ$

For the third angle, we use:

$A + B + C = 180$ --- angles in a triangle

Make C the subject

$C = 180 - A -B$

$C = 180 - 74.7 -42.5$

$C = 62.8^\circ$

8 0

3 years ago

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

tangare [24]

The larger number is 51 and the smaller number is 12. ( hope I helped) have a good day

3 0

3 years ago

Find the volume of the triangular pyramid to the nearest whole number (number only in your answer) Please help....

sertanlavr [38]

Answer:

Volume of pyramid = 317 units³

Step-by-step explanation:

Volume do triangular pyramid = ⅓ × Base Area × height of pyramid

Base area = ½*bh = ½*8*14 = 56 units²

Height of pyramid = 17

Volume of pyramid = ⅓ × 56 × 17

Volume of pyramid = 317 units³ (to nearest whole number)

7 0

3 years ago

Read 2 more answers

Solve the equation. 9-(-2)

Ugo [173]

Answer:

11

Step-by-step explanation:

Two negatives cancel each other out and makes the equation 9+2. 9+2 equals 11.

8 0

3 years ago

Read 2 more answers

Assume each person makes one cola purchase per week in Turlock. Suppose 60% of all people now drink Coke, and 40% drink Pepsi. H

MrMuchimi

Answer:

In think the answer is 42,000

Step-by-step explanation:

5 0

3 years ago