Answer:
x2-4=5
+4 +4
x2=9
square root both the x and 9
x=3
Answer:
The expressions are equivalent.
Step-by-step explanation:
We can simplify each expression and compare the results.
(x + 10) + x + 9 = x + 10 + x + 9 = 2x + 19
2(x + 7) + 5 = 2x + 14 + 5 = 2x + 19
2x + 19 = 2x + 19
Answer: The expressions are equivalent.
Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
Answer:
16
Step-by-step explanation:
Since DF and BC are similar, their ratios are:
12:3
4:1
Since AB is similar to ED:
Substituting the ratio:
x:4
Hence, x = 16
Hence, AB = 16
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