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777dan777 [17]
3 years ago
14

How do you solve number 29? Please step by step

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

Answer:

a) Junnie walked farther than Maurice

b) Junnie walked .62 miles farther than Maurice

Step-by-step explanation: Because speed times time equals distance, to find how far each person traveled you multiply their speed and time.

Distance=speed×time

Junnie:

2.5hrs×3.2mph=8 miles

Maurice:

1.8hrs×4.1mph=7.38 miles

8-7.38=.62 (the difference between the two)

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Please answer asap if u know the answer!!!! completing a square. thank you!!!!
Tema [17]

Answer:

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Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form using the method of completing the square.

Given

f(x) = 3x² - 24x + 10

We require the coefficient of the x² term to be 1 , thus factor out 3

3(x² - 8x) + 10

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

= 3(x² + 2(- 4)x + 16 - 16) + 10

= 3(x - 4)² + (3 × - 16) + 10

= 3(x - 4)² - 48 + 10

= 3(x - 4)² - 38, thus

f(x) = 3(x - 4)² - 38 ← in vertex form

3 0
3 years ago
Integration of ∫(cos3x+3sinx)dx ​
Murljashka [212]

Answer:

\boxed{\pink{\tt I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C}}

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\  dx

  • Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
  • Now , Rewrite using du and u .

\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I =  \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C }}}}}

6 0
3 years ago
Patrick starts hiking at an elevation of -418 feet. He ascends to an elevation of 387 feet and then descends to an elevation 94
const2013 [10]
-456 Feet is the answer
6 0
3 years ago
ANSWER THIS ASAP PLS SHOW WORK ☹☹☹
Sliva [168]

Answer:

Square 63 is, 7.93725393319

Step-by-step explanation:

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8 0
3 years ago
A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x
Arturiano [62]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

6 0
3 years ago
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