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andriy [413]
3 years ago
12

What is the value of x in the equation 8x - 2y = 48, when y= 4?

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0
X=5. I’m pretty sure this is the answer
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Find the value of x when the area of a triangle is 22 in2 and has a base of 3x-1 and height of x.
Virty [35]
The formula for the area of a triangle is (1/2)bh = A
when we plug in the numbers, we get (1/2)(3x-1)x = A
using the distributive property we get (1.5x - .5)x = A
Then its 1.5x^2 - .5x = A
then if we factor out 0.5x we get 0.5x(3x-1) = A
then with the zero product property, 0.5x can equal 0 and x would need to equal 0.
if 3x-1 = 0 , then 3x = 1 then x = 1/3. so our answer would be 1/3 I'm pretty sure because a length cannot be 0
5 0
3 years ago
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}=  \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0
3 years ago
Rodrick is visiting the local museum exhibit and has a maximum of $30 dollars to spend. The entry ticket cost $7. He can spend g
valentinak56 [21]

Entry ticket = $7

Gift shop money = $g

Maximum to spend = $30

Inequality => 7+g ≤ 30

Hope it helps!

6 0
2 years ago
Which fractions equal to0.20%
alukav5142 [94]

Answer:

2/10

Step-by-step explanation:

0.20 = 20/100

20/100 = 2/10

6 0
2 years ago
Read 2 more answers
What is the soloution of x^2-1/x^2+5x+4<_0
JulijaS [17]
<span>You have the following inequality given in the problem shown above:

 (x^2-1)/(x^2+5x+4)</span>≤<span>0

 1. To solve it, you must factor it and then you must make the study of the signs.

 2. Once you do the proccedure mentioned above, you obtain the following solutions:

 -4<x<-1

 -1<x</span>≤<span>1

 3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>

6 0
2 years ago
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