Answer:
9.33
Step-by-step explanation:
Find the diagram attached, to get the length of RT, we will use the pythagoras theorem as shown:
Hyp² = opp²+adj²
Hyp = 11
Adj = 6
Opposite = RT
Substitute into the formula
11² = opp²+6²
Opp² = 11²-6²
Opp² = 121-36
Opp² = 85
Opp = 9.22
Hence the measurel RT to nearest hundredth is 9.22
The chart displays a linear relationship between x and y, represented by the equation y = 7x. Here, x is the independent variable, with y changing dependent on x's value.
The relationship between the variables x and y in the chart can be represented by the equation y = 7x. This is a type of linear equation. In this formula, x is the independent variable, and y is the dependent variable. The value of y depends on the value of x. You can check the validity of the equation by substituting the value of x from the chart into the equation to obtain the corresponding y-values. For example, when x = 1, y = 7*1 = 7, which matches the corresponding y value in the chart. This process can be repeated for all x values.
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12=5^x
A. x=log↓12 5
B. x=log↓5 12
C. 5=log↓x 12
D. 12=log↓5 x
Answer: To convert the exponential equation 12=5^x to a logarithmic equation, we can use the following formula:
logb(x) = y
is equivalent to
b^y = x
where b is the base of the logarithm.
In this case, we have:
5^x = 12
which is equivalent to:
log5(12) = x
Therefore, the answer is A. x=log↓12 5.
B.42
C.60
D.76
Answer:
m=-16
Step-by-step explanation:
To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-35=m-19
19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.
-35+19=m-19+19
-35+19=m
-16=m
Let's check our solution. Plug -16 back in for m in the original equation.
-35=m-19
-35=-16-19
-35=-35
Both sides of the equation are the same, so we know that m is equal to -16.