Answer:
<em>17.1 feet</em>
Step-by-step explanation:
Scale drawing = 5.7 inches
scale = 1 inches = 3 feet
If 1 inches = 3 feet
5.7 inches =
feet
solving for
, we cross-multiply
x 1 = 5.7 x 3
= <em>17.1 feet</em>
The slope intercept form of the line whose points are (1,5) and (-2,-4) is y=3x+2.
Given two points of a line (1,5) and (-2,-4).
We have to form an equation in slop intercept form.
Equation is relationship between two or more variables which are expressed in equal to form.Equations of two variables looks like ax+by=c.
Point slope form of an equation is y=x+mc where m is slope of the line.
From two points the formula of equation is as under:
(y-
)=
*(x-
)
where
are the points.
Putting the values of
=1,
=-2,
=5 and
=-4.
y-5=(-4-5/-2-1)*(x-1)
y-5=-9/-3*(x-1)
y-5=3(x-1)
y-5=3x-3
y=3x-3+5
y=3x+2
Hence the slope intercept form of the line having points (1,5)(-2,-4) is y=3x+2.
Learn more about equation at brainly.com/question/2972832
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We need to know some log properties
1. when the base is not stated, assume that it is base 10 or log₁₀
2.

-log(10^-1)=

answer is D. -1
<h3>
Answer: 25</h3>
=================================================
Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.