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3 years ago

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Michael drove from Orlando to Jacksonville in 6 2/3 hours. The next day he drove from Jacksonville to Savannah in 3 3/5 hours. W

hat was Michael's total driving time from Orlando to Savannah?

1 answer:

Ugo [173]3 years ago

3 0

Answer:

10 hours and 26 minutes I think im not going to do a step by step eplanation cause my finger hurts.

Step-by-step explanation:

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Write an equation for a circle with a diameter that has endpoints at (–4, –7) and (–2, –5). Round to the nearest tenth if necess

Zinaida [17]

since we know the endpoints of the circle, we know then that distance from one to another is really the diameter, and half of that is its radius.

we can also find the midpoint of those two endpoints and we'll be landing right on the center of the circle.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[-2-(-4)]^2+[-5-(-7)]^2}\implies d=\sqrt{(-2+4)^2+(-5+7)^2} \\\\\\ d=\sqrt{2^2+2^2}\implies d=\sqrt{2\cdot 2^2}\implies d=2\sqrt{2}~\hfill \stackrel{~\hfill radius}{\cfrac{2\sqrt{2}}{2}\implies\boxed{ \sqrt{2}}} \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-2-4}{2}~~,~~\cfrac{-5-7}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{-12}{2} \right)\implies \stackrel{center}{\boxed{(-3,-6)}} \\\\[-0.35em] ~\dotfill$

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-3}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{\sqrt{2}}{ r} \\[2em] [x-(-3)]^2+[y-(-6)]^2=(\sqrt{2})^2\implies (x+3)^2+(y+6)^2=2$

4 0

3 years ago

Read 2 more answers

Which of the following quadratic functions has a graph that opens downward? A.y= 3/2x^2 -3x+15 B.y= 5/2x-3x^2 C.y= 3x^2-x-1 D.y=

gladu [14]

it says if

ax^2+bx+c=0

a<0

answer is D because, there is (-) near of x^2

3 0

3 years ago

Given f ( x ) = 3 x 2 + k x − 13 f(x)=3x 2 +kx−13, and the remainder when f ( x ) f(x) is divided by x + 4 x+4 is 15 15, then wh

Varvara68 [4.7K]

Answer:

k=5

Step-by-step explanation:

We are provided with function, f ( x ) = 3 $x^{2}$ + kx − 13

which is divided by x+4 gives 15.

Here,

since f(x) is divided by x+4 so we can put :

x+4 = 0

x= -4

Putting this in f(x) -----> f(-4)

f(x) = f(-4) = 3 ( $-4^{2}$ ) + k(-4) − 13

f(-4) = 3(16) - 4k - 13

f (-4) = 48 - 4k - 13 ------------------------------------------Equation 1

Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,

f(-4) = 15

putting in equation 1

f (-4) = 15 = 48 - 4k - 13

48 -4k - 13 = 15

35 - 4k = 15

35 - 15 = 4k (Moving - 4k on right hand side and 15 on the left)

or 20 = 4k

or 4k = 20

k = $\frac{20}{4}$

<h2>k = 5</h2>

4 0

4 years ago

A company produces widgets in three factories, A, B and C. Factory A produces 20% of the widgets, factory B produces 45% of the

agasfer [191]

Answer:

1.25% widgets from factory A fail.

Step-by-step explanation:

Probability of widgets that fail = 0.05

Probability of failing widget to belong from factory A = 0.25

Probability of failing widget to belong from factory B = 0.35

Probability of failing widget to belong from factory C = 0.40

Probability of factory A widgets failing = Probability of widgets failing * probability they belonged from factory A

Probability of factory A widgets failing = 0.05 * 0.25 = 0.0125

This probability stated as percentage: 1.25%

6 0

3 years ago

PLEASE HELP I AM CRYING AND NEED HELP

Sphinxa [80]

Answer:

Just count and find the area of the units shown below,

6 x 2 = 12, 12 divided by 2 = 6

6 x 2(two of the triangles) = 12

7 x 3 = 21

21 x 2 = 42

7 x 6 = 42

Add all given areas:

12 + 42 + 42 = 96 is your answer

6 0

3 years ago