Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= - = - =
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line
<em><u>Answer:</u></em>
a. Jennifer gets 7 Kg
b. Jennifer has 5 Kg left
<u><em>Complete question:</em></u>
Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weight of the carrots she buys is 28 Kg.
a. How many Kg of carrots will Jennifer get?
If Jennifer uses 2 Kg of carrots to bake muffins, how many Kg of carrots does she have left?
<u><em>Explanation:</em></u>
<u>Part a:</u>
We know that a total of 28 Kg will be divided equally among the grandmother and her 3 grandchildren. This means that 28 Kg of carrots will be shared equally among 4 people
We can get the number of Kg that Jennifer will get by simply dividing 28 by 4
<u>This is done as follows:</u>
Jennifer will get = Kg of carrots
<u>Part b:</u>
We know that Jennifer used 2 Kg of carrots for muffins
This means that the amount she has left can be calculated be subtracting the amount she used for muffins from the total amount she had
<u>This means that:</u>
Jennifer has = 7 - 2 = 5 Kg left of carrots
Hope this helps :)
Answer:
$377,358.49
Step-by-step explanation:
Let, the actual sales = $X
Given total sales amount including 6% of sales tax = $400,000
Therefore, (X+6% of X)= $400,000
⇒(X+X·6÷100)= $400,000
⇒(X+0.06X)= $400,000
⇒ 1.06X= $400,000
∴ X= $400,000÷ 1.06 = $ 377,358.49
Hence, the actual sales = $ 377,358.49
Answer:
680 seats
Step-by-step explanation:
If 612 = 90%
x = 100%
90x = 61200
x = 680 seats
9514 1404 393
Answer:
see attached
Step-by-step explanation:
There are several possible ways to describe the "type" of a polynomial. Here, since there is a separate column for "degree", we assume that "type" refers to the number of terms.
Polynomials with 1, 2, or 3 terms are called, respectively, <em>monomial</em>, <em>binomial</em>, and <em>trinomial</em>. The first two expressions listed have 1 term only, so are monomials. The last expression has 3 terms, so is a trinomial.
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The coefficients are the constant multiplier of the term. Some say a "constant", such as the -8 in the last expression, is not considered a coefficient, because there are no variables that it is multiplying. Here, we have listed it among the coefficients in that expression.
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The degree of a term is the sum of the degrees of the variables in the term. For terms with only one variable, it is the exponent of that variable. For terms such as the second expression, the degree is the sum of the exponents: 3+4 = 7. The degree of a polynomial with more than one term is the highest degree of all the terms.