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Shtirlitz [24]
3 years ago
8

Need answers asap please

Mathematics
1 answer:
pychu [463]3 years ago
3 0
An equation in point-slope form that passes through point P(a,b) is as follows:

y-b=m(x-a)   where m=slope, a,b are coordinates of point P.

For a line to pass through P(4,-8)
the equation will look like:
y-(-8) = m(x-4)
simplify left side
y+8=m(x-4)

The given equation has a slope of m=-1/2, so the slope of a line perpendicular to it has a slope of -1/m = -1/(-1/2)=+2

Now go through the answer choices:
a. y+8=2(x-4)  => passes through P(4,-8) and has a slope of 2.  so TRUE
b. y-4=2(x+8)  => has a slope of 2, but passes through (-8,4), which is not P so FALSE
c. y+8=(1/2)(x-4) => passes through P(4,-8), but has the wrong slope (a reflection, not perpendicular)  so FALSE
d. y-8=(1/2)(x+4) => passes through a wrong point (-4,8) and has the reflected slope (not perpendicular)  so FALSE

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Which of the following expressions could be used to find the area of the larger rectangle? 3(64 mm2) 9(64 mm2) 9(32 mm2) 3(576 m
kari74 [83]

Answer:

9(64)\ mm^{2}

Step-by-step explanation:

we know that

The area of rectangle is equal to

A=bh

In this problem we have

the larger rectangle

b=48\ mm

h=12\ mm

substitute

A=48*12=(4*4*3)(4*3)=(3*3)(4*4*4)=9(64)=576\ mm^{2}

4 0
3 years ago
After sitting on a shelf for a while, a can of soda at room temperature (73 F) is placed inside a refrigerator and slowly cools.
Alona [7]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling here:

T(t)=T_s+(T_0-T_s)^{-kt

where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:

53=35+(73-35)^{-35k which can simplify a bit to

53=35+(38)^{-35k and 18=38^{-35k

Take the natural log of both sides:

ln(18)=ln(38)^{-35k

Taking the natural log allows us to pull that exponent down out front:

ln(18)=-35k*ln(38)

and now we can divide both sides by ln(38) to get

-35k = .794585 so

k = -.023

Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:

T(t)=35+(38)^{70(-.023) and

T(t)=35+(38)^{-1.61 and

T(t)=35+.0028612013 and

T(t) = 35 F, basically the temp of the fridge, which is not surprising!

5 0
3 years ago
Help help please is my final !!!!!!!!!!
drek231 [11]

Answer:

b. 12.5

Step-by-step explanation:

I did the other question too so yee lmk again if this is right or not :)

5 0
3 years ago
What is the coefficient of the variable in the expression 6 - 4x - 8 +2
Debora [2.8K]

Answer:

d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the equation whose graph is shown below. Write your answer in standard form.
vladimir2022 [97]

Answer:

it as a liner function that is why we should choose to point in order to find the liner equation

y=2/3x+1

5 0
2 years ago
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