Answer:
a. 2, 3, 6
b. a/b × c = 1
c. a = 2, b = 6, c = 3 or a = 3, b = 6, c = 2
Step-by-step explanation:
Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.
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<h3>a.</h3>
There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.
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<h3>b. </h3>
If the three numbers are represented by a, b, c, Erica wants ...
a/b × c = 1
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<h3>c.</h3>
Multiplying the equation by b gives ...
ac = b
Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...
a = 2, b = 6, c = 3 ⇒ (2/6)×3 = 1
a = 3, b = 6, c = 2 ⇒ (3/6)×2 = 1
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<h3>d.</h3>
No scoring information is provided.
Add all the numbers and divide by the number of numbers.
b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
Answer:
Correct answer: V = 82.5 in³
Step-by-step explanation:
This is a regular five sided prism.
Given:
The base edge a = 4 in
The radius of the inscribed circle or the height of an isosceles triangle
Ri = h = 2.75 in
Prism height H = 3 in
The base consists of five isosceles triangles
The area of one triangle is:
A₁ = a · h / 2
The area of the base is:
B = 5 · A₁ = 5 · a · h / 2
B = 5 · 4 · 2.75 / 2 = 27.5 in²
The volume of the prism is:
V = B · H = 27.5 · 3 = 82.5 in³
V = 82.5 in³
God is with you!!!
Answer:
Step-by-step explanation:
1. multiply both sides by 2
<em>3b-4=2c</em>
2. add 4 to both sides
3b=2c+4
3. divide both sides by 3
b= 
