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Andrew [12]
4 years ago
12

Find the point of intersection of the lines: y = 4x + 1 and y = – 2x + 4 A. (2 , 9) B. ( 1 2, 3 ) C. (1 , 2) D. ( 1 4, 2)

Mathematics
1 answer:
alekssr [168]4 years ago
3 0

Answer:

B. (1/2, 3)

Step-by-step explanation:

It is perhaps easiest to try the point values in the equations.

A — 4·2+1 = 9; -2·2 +4 ≠9 . . . . not the answer

B — 4·1/2 +1 = 3; -2·(1/2) +4 = 3 . . . . this is the answer

we need go no further since we have the answer

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Given: g(x) = x - 4 and h(x) = 2x - 8,
kvasek [131]
Plug in 10 for x in h(x) then simplify
h(10)=2(10)-8
h(10)=20-8
h(10)=12

h(10) is 12 so put 12 in for g(x)
g(h(10))=12-4
g(h(10))=8

Here’s everything together
g(h(10))=(2(10)-8)-4
=(20-8)-4
=(12)-4
=8

This is what I’ve always done. I can’t really tell what your answers are so sorry if this isn’t right at all.
3 0
3 years ago
Find the distance between 2 and -2.<br> A) -6 <br> B) -4 <br> C) 0 <br> D) 4
IrinaVladis [17]

Answer:

D

Step-by-step explanation:

-2 - 2 = I-4I = 4

5 0
3 years ago
Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t
SCORPION-xisa [38]

Answer:  

a)  28,662 cm²  max error

    0,0111     relative error

b) 102,692 cm³  max error

   0,004     relative error

   

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL  =  2*π* dr    ⇒  dr = 0,5 / 2*π

dr =  1/4π

The equation for the volume of the sphere is  

V(s) =  4/3*π*r³     and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s)  =  4*2*π*r* dr    ⇒  where  2*π*r = L = 90

Then    

dS(s)  =  4*90 (1/4*π)

dS(s) = 28.662 cm²   ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s)  =  (90/π) / 4*π*r²

DS´(s)  = 90 / 4*π*(L/2*π)²      ⇒   DS(s)  = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) =  4*π*r² dr

Maximum error

DV(s) =  4*π*r² ( 1/  4*π*)   ⇒  DV(s) = (90)² / 8*π²

DV(s)  =  102,692 cm³   max error

Relative error

DV´(v) =  (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) =  0,004

3 0
3 years ago
Read 2 more answers
Solve t+m=r for r <br> pls help.
AlexFokin [52]

Hi!

<h3>So, we need to figure out what r equals. </h3>

r doesn't have to be a number. r has to equal a value. A value can be variables, or numbers, it doesn't matter.

<h3>The equation says r = t + m. Read the equation out loud. </h3>

<u>r equals t plus m. </u>

<h3>There's the value of r! </h3><h2>The answer is the problem: r = t + m</h2>

Hope this helps! :)

-Peredhel

4 0
4 years ago
Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2<br>​
klio [65]

Answer:

Step-by-step explanation:

Hope this helps u !!

5 0
3 years ago
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