F is between E G, EF=x-7, and EG=4x+3. Find FG

Mathematics

1 answer:

Zolol [24]3 years ago

8 0

First draw F between E and G in a line.
FG = EG - EF
FG = 4x - 3 - x - 7
FG = 3x - 4

You might be interested in

Solve the equation using the quadratic formula : x^2-10x+25=18

Sever21 [200]

$x^2-10x+25=18 \\ \\x^2-10x+25-18 = 0\\ \\ x^2-10x+ 7 =0 \\ \\a=1 , b = -10 , c= 7 \\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4*1*7=100-28 = 72 \\ \\\sqrt{\Delta }=\sqrt{72}= \sqrt{2*36} =\sqrt{36}*\sqrt{2} =6\sqrt{2}$

$x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- 6\sqrt{2}}{2}=\frac{2(5-3\sqrt{2})}{2}= 5-3\sqrt{2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ 6\sqrt{2}}{2}=\frac{2(5+3\sqrt{2})}{2}= 5+3\sqrt{2}$

$Answer : \ x= 5-3\sqrt{2} \ \ or \ \ x = 5+3\sqrt{2}$

8 0

3 years ago

A local hospital tracked the blood type and gender of the patients they saw on an average day. Which is a fair statement?

Oksana_A [137]

Tracked the blood type.

3 0

3 years ago

Read 2 more answers

HELP ME PLS!!!! Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x

Ganezh [65]

Answer:

Option B

$f(x)=\frac{3}{4}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the only linear function that passes through the origin is

$f(x)=\frac{3}{4}x$

where

The constant of proportionality is k=3/4

8 0

2 years ago

A car salesman makes 10% commission on the first $ 10,000 and 12% on the remaining the 12,500 of his sales. How much commission

marissa [1.9K]

10,000 x .10 = $1000
22500-10000=12500 x .12 = $1500
$1000 + $1500 = $2500

6 0

3 years ago

A circle is drawn on the coordinate plane. It has a center at (2, 1) and passes through the point (2, 5). What is the approximat

ArbitrLikvidat [17]

First we need to find the radius. Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:

r=((5-1)^2+(2-2)^2)^(1/2)

r=(4^2-0^2)^(1/2)

r=4 units.

Circumference=2pr so our circumference is 8p units^2

Approximately 25.13 u^2

8 0

3 years ago