Answer:
Translate the expression
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1) ten subtracted from the product of a number and -3 is 29
2) the difference between a number and nine , divided by 4 , is -7
Answer:
see explanation
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 =
x - 3 is in this form
with slope m = 
• Parallel lines have equal slopes, hence
y =
x + c ← is the partial equation
To find c substitute (14, 4) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y =
x - 4 ← equation of parallel line
Answer:
the first option
Step-by-step explanation:
okay so the line passes through the 2 on the y-axis making it the y-intercept
that means you can eliminate the second and third options
now to find the slope, you can use rise over run (y2-y1/x2-x1)
3-2/3-0 = 1/3
so the slope is 1/3
all together, the equation would be:
f(x) = 1/3x + 2
so the answer is the first option
Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
<em>Volume of composite figure = 667+719 = 1386 in³</em>
Answer:
<em>ab+bc+ca=0</em>
Step-by-step explanation:
We are given:

xyz=1
Separating equations:


Solving the first equation for x:

Solving the second equation for y:

Substituting in
xyz=1:

Adding the exponents:

Since
:

The base is z on both sides so we get rid of them:

Multiplying by ab:
bc+ac+ab=0
Reordering:
ab+bc+ca=0