Can you solve the equation 3/4(6x+9)=14 by using the Division Property of Equality? Explain.

Answers

Answer 1

Answer: Division property of equality is dividing both sides of an equation by non zero number. So the answer is No.
Ex: 5p = 15
p = 3
5 x 3 = 15

Pre-Solving

We are given that a line has a slope (m) of 1/5, and passes through the point (-8, -9).

We want to write the equation of this line in point-slope form.

Point-slope form is given as $y-y_1=m(x-x_1)$ , where m is the slope and $(x_1,y_1)$ is a point.

Pre-Solving

As we are given both the slope and the point, we can plug those values into the equation.

Starting with the slope, we can replace m with 1/5.

$y-y_1=(1)/(5) (x-x_1)$

Now, substitute -8 as $x_1$ and -9 as $y_1$ . We get:

$y--9=(1)/(5) (x--8)$

This can be simplified to:

$y+9=(1)/(5) (x+8)$

Answer:

y=1/5(x+8)-9

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1/5(x+8)-9

Help me please ..........................

Answers

G(x)= (x-4)^2+1......

Answer: G(x)=(x-2)^2+1

Apex certified

What is the radius of a circle with an area of 32.1 square feet?

Answers

So we want to know the radius of the circle that has area A=32.1 ft^2. The formula for the area of a circle is A=pi*r^2. So to get the radius we must first divide both sides by pi and then take the square root. So, r^2=A/pi=10.2229 and the square root is= r= sqrt 10.2229 = 3.197 ft

If two lines are perpendicular and they are defined by the equations, y=2x-3 and y=ax+2, what is the value of a?

Answers

Answer:

a = - $(1)/(2)$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

$m_(perpendicular)$ = - $(1)/(m)$ = - $(1)/(2)$

Thus the value of a in the equation y = ax + 2 is a = - $(1)/(2)$

2700=2300(1+r)^5 solve for r Please show all work

Answers

$2700=2300(1+r)^5\ /:2300\n\n(1+r)^5= (27)/(23) \ \ \ \Rightarrow\ \ \ 1+r= \sqrt[5]{ (27)/(23)} \ \ \ \Rightarrow\ \ \ r= \sqrt[5]{ (27)/(23)} -1\n\n r= \sqrt[5]{ (27\cdot23^4)/(23^5)}-1= \frac{ \sqrt[5]{ 27\cdot23^4} }{23} -1= \frac{ \sqrt[5]{7555707} }{23} -1$

$2700=2300(1+r)^5\n \n (1+r)^5=(2700)/(2300)\n \n (1+r)^5=(27)/(23)\n \n \sqrt[5]{(1+r)^5}= \sqrt[5]{(27)/(23)}\n \n 1+r= 1.032\n \n r=1.032-1\n \n \boxed{r=0.032}$

What is the value of this expression 210/7-18+4*6-20
A)112
B)76
C)28
D)16

Answers

Following the MDAS rule, where it is necessary to do multiplication or division processes first (whichever of the 2 is encounter first in the equation) before proceeding to addition and subtraction, the expression can be solved, and is done as follows:

210/7 - 18 + 4*6 - 20

Doing division and multiplication first:
30 - 18 + 24 - 20

Simplifying:
16

Therefore the answer among the choices is D.