using the multiplication property of equality to multiply both sides of the equation by 10
Step-by-step explanation:
Given equation is:
One method to solve this equation is cross-multiplication which the student has used.
One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides
So multiplying both sides by 10 (multiplication property of equality)
The alternate method of LCM produces the same answer so the correct answer is:
using the multiplication property of equality to multiply both sides of the equation by 10
Keywords: Linear equations, variables
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Answer:
14 and 20
Step-by-step explanation:
<u><em> Let x and y be two numbers where x < y</em></u><em>.</em>
We are given :
y - x = 6
y² - x² = 204
Then
y - x = 6
(y - x)(y + x) = 204
Then
y - x = 6
6 × (y + x) = 204
then
y - x = 6 (Equation 1)
y + x = 34 (Equation 2)
Then
(Equation 1) + (Equation 2) ⇒ 2y = 40 ⇒ y = 20
Now ,we substitute y by 20 in equation 1 :
y - x = 6
⇔ 20 - x = 6
⇔ 20 - 6 = x
⇔ x = 14
Answer:
184.0
Step-by-step explanation:
Answer:
B= 6
Step-by-step explanation:
pythagorean theorem formula is a² + b² = c²
so: 8² + b² = 10²
then: 64 + b² = 100
subtract 64 from both sides to get b²= 36
square root 36 and you get 6 for b
answer: B= 6
Answer:
Height of cone (h) = 14.8 in (Approx)
Step-by-step explanation:
Given:
Radius of cone (r) = 6 in
Slant height (l) = 16 in
Find:
Height of cone (h) = ?
Computation:
Height of cone (h) = √ l² - r²
Height of cone (h) = √ 16² - 6²
Height of cone (h) = √ 256 - 36
Height of cone (h) = √220
Height of cone (h) = 14.832
Height of cone (h) = 14.8 in (Approx)
