MATHEMATICS HIGH SCHOOL

Solve for D

Hd + 4Md = g
solve for D Hd + 4Md = g - 1

Answers

Answer 1
Answer:

Answer:

d = g/(H + 4M)

Step-by-step explanation:

The question in the attachment asks for d, not D.  We'll solve for d.

Hd + 4Md = g

d(H + 4M) = g     [remove d from (Hd + 4Md)]

d = g/(H + 4M)     [Divide both sides by(Hd + 4Md)]

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Please solve equation
-3x2+243=0

Answers

Answer is 9.

-3x^2 + 243 = 0
Bring 243 to the right.
-3x^2 = -243
Divide by -3.
x^2 = 243/3 = 81
Tak the square root of both sides.
x = 81^1/2 = 9.
-3x^2+243=0\n \n -3x^2=-243\n \n x^2=(-243)/(-3)\n \n x^2=81\n \n x=\pm√(81)\n \n \boxed{x=\pm9}

What number must be added to complete the square? X^2-20x=17

Answers

-117 must be added to complete the square.

One positive number exceeds 4 times another positive number by 3. The product of the two numbers is 351. What are the two numbers? A) 6 and 9
B) 6 and 24
C) 9 and 39
D) 25 and 29

Answers

Hello,
Answer C 9 and 39.

Let a the first and b the second
a=4b+3
a*b=351

==>b*(4b+3)=351
==>4b²+3b-351=0
Δ=9+4*4*351=5625=75²
==>b=(-3-75)/8 =-9.75 ==>a=4*(-9.75)+3=-36 (excluded) a>0
or b=(-3+75)/8=9 and a=4*9+3=39

What is the slope between two points 12,6 and 20,22

Answers

The slope of a line between 2 points is given by the formula

m = y2 - y1/x2 - x1

m= 22-6/20-12

m= 16/8= 2

slope is 2
slope is 2 hoe it helped

Solve for x in the following equation: ax+5x-4=10

Answers

Factor in "x" the expression:

ax+5x-4=10\n \n (a+5)x-4=10\n \n (a+5)x=10+4\n \n (a+5)x=14\n \n \boxed{x=(14)/(a+5)}

What is LK rounded to the nearest hundredth? show work if you canAlso what is JK TO THE nearest hundredth? show work if you can

Answers

LK is actually the opposite side. What you've also been given is the length of the hypotenuse and an angle (20 degrees).

We know that:

sin(β)=Opposite/Hypotenuse=O/H

This is because of the famous:

SOH CAH TOA

-----

We can solve the problem by writing down:

sin(20)=LK/8.5

This means that:

LK = 8.5 * sin(20)

LK = 2.91 metres (to 2 decimal places)
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