Hey there!
y = -2x + 19
y = x + 7
We gonna solve this system of equation by using the substitution method.
We wanna solve y = -2x + 19 for y
Let start by substitute -2x + 19 for y in y = x + 7
y = x + 7
-2x + 19 = x + 7
Subtract x from both sides
-2x + 19 - x = x + 7 - x
-3x + 19 = 7
Now subtract 19 on both sides
-3x + 19 - 19 = 7 - 19
-3x = -12
Then divide both sides by -3
-3x/-3 = -12/-3
x = 4
We have the value of x. Now we gonna use that same value to find the value for y.
We gonna do that by substitute 4 for x in y = -2x + 19
y = -2x + 19
y = -2(4) + 19
y = -8 + 19
y = 11
Thus,
The answer is: x = 4 and y = 11
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Answer:
LM
Step-by-step explanation:
A midsegment is the line from the midpoint of 2 sides of the triangle and parallel to the third side.
L is at the midpoint of AB and M is at the midpoint of BC
LM is the midsegment
Answer:
The balance after the payment is $1263.84.
Step-by-step explanation:
The formula for amount after compound interest is
Where, P is principal, r is rate of interest, n is number of time interest compounded in a period, number of periods.
According to the given information,
P=1455.69
r=0.128
n=365
t=45
Put these values in the above formula,
The amount after compound interest is $1478.84. Add late fee chages $35 in this amount and subtract the payment of $250. So, the balance amount after payment is
Therefore the balance after the payment is $1263.84.
Answer: 
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. 
Hence, the ratio of remaining since the nuclear accident is
Option B is correct. <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
The formula for calculating the perimeter of the rectangular fence is expressed as:
A = 2(L + W) where:
L is the length
W is the width
If Jamie can afford at most 70feet to build a rectangular fence is expressed as:
2L + 2W ≤ 70
<em>We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70</em>
On substituting:
= 2(9) + 2(22)
= 18 + 44
= 62 feet
Since 63 feet is less than 70 feet, hence we can conclude that <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
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<em>Learn more here: brainly.com/question/17229451</em>
