Answer:
h = 16
Step-by-step explanation:
By applying the Pythagorean Theorem, the slant height is given by the formula:
34 = 
We have that Using strictly the properties of addition to simplify
10v-6v+4s
From the question we are told
Use the properties of addition to simplify 10v – 4s – 6v +8s.
Generally the equation for the Statement is mathematically given as
10v – 4s – 6v +8s.
Therefore
WE collect like terms
10v – 4s – 6v +8s.
10v-6v-4s+8s
Therefore Using strictly the properties of addition to simplify
We have
10v-6v-4s+8s
10v-6v+4s
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Step-by-step explanation:
always try to bring fractions you need to compare to the same denominator (bottom number).
we have 9/10 of the pizza left.
then 4/5 if the pizza are eaten.
how to compare 9/10 with 4/5 ?
by bringing 4/5 also to a fraction of 10ths.
what do I need to multiply 5 with to get 10 ?
right, 2.
since we don't want to change the overall value of the original fraction, we need to multiply both levels (numerator and denominator) by that same factor :
4/5 × 2/2 = 8/10
aha !
that we can compare with 9/10.
so, when Lucas ate 4/5 (= 8/10) of the pizza, when there was originally 9/10 left, then we have 1/10 of the pizza left.
Answer:
Equation A: x = -1 and y = 3
Equation B: x = 12 and y = 16
Step-by-step explanation:
In the complex numbers (a + bi) and (x + yi)
(a + bi) + (x + yi) = (a + x) + (b + y)i
(a + bi) - (x + yi) = (a - x) + (b - y)i
Equation A
∵ (x + yi) + (4 – 7i) = 3 – 4i
∴ (x + 4) + (y - 7)i = 3 - 4i
→ Compare the real parts and compare the imaginary parts
∴ x + 4 = 3 and y - 7 = -4
∵ x + 4 = 3
→ Subtract 4 from both sides
∴ x + 4 - 4 = 3 - 4
∴ x = -1
∵ y - 7 = -4
→ Add 7 to both sides
∴ y - 7 + 7 = -4 + 7
∴ y = 3
Equation B
∵ (x + yi) - (-6 + 14i) = 18 + 2i
∴ (x - -6) + (y - 14)i = 18 + 2i
→ (-)(-) = (+)
∴ (x + 6) + (y - 14)i = 18 + 2i
→ Compare the real parts and compare the imaginary parts
∴ x + 6 = 18 and y - 14 = 2
∵ x + 6 = 18
→ Subtract 6 from both sides
∴ x + 6 - 6 = 18 - 6
∴ x = 12
∵ y - 14 = 2
→ Add 14 to both sides
∴ y - 14 + 14 = 2 + 14
∴ y = 16
