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3 years ago

Find the value of x.

Mathematics

1 answer:

kipiarov [429]3 years ago

8 0

Are there multiple choice options??

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If a/4 = 9/a, then a. a^2=36 b. 4a=9a c. a+4 = 9+a d. a-4 = 9-a

FrozenT [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

Hi thanks for trying to help me plz

Nastasia [14]

Answer:

i think its d

Step-by-step explanation:

5 0

3 years ago

The hypotenuse of a right triangle is 10m long. the shorter leg is 2m shorter than the longer leg. find the side lengths of the

son4ous [18]

A^2 + 2^2 = 10^2
A^2 + 4 = 100
A^2 = 96
A = square root of 96 - about 9.8 m

3 0

3 years ago

The polygons below are similar. Set up a proportion

m_a_m_a [10]

Answer:

x = 42

Step-by-step explanation:

$\frac{18}{15}$ = $\frac{x}{35}$ ⇔ $\frac{6}{5}$ = $\frac{x}{35}$ ⇔ $\frac{6*7}{5*7}$ = $\frac{x}{35}$ ⇒ x = 42

4 0

3 years ago

For a certain automobile,

emmasim [6.3K]

Answer:

The answer is

a) 2,128 miles per gallon at 40,36 miles per hour

b) 1,388 miles per gallon at 60 miles per hour

Step-by-step explanation:

Let's find the extreme points of M(x) for 30≤x≤60. M(x) simplified by dividing to 7.8.

$M(x) = -1,92.10^-3x^2+0,155x-1$

To find extreme points we find tangent of M(x) and equal it to 0.

$M'(x) = -3,84.10^-3x+0,155=0$

therefore x= $\frac{-0,155}{-3,84.10^-^3} = 40,36$

This divides our x to 2 different range 30≤x≤40,36 and 40,36≤x≤60

Now we pick a number and investigate from the ranges

30≤x≤40,36 → x = 35 → M'(35) = 0,0206 which is > 0 and that means M is increasing

40,36≤x≤60 → x = 45 → M'(45) = -0,0178 which is < 0 and that means M is decreasing

Next let's look at critical points

x M(x) Before After Decision

30 1,922 - ↑ Local Minimum Point

40,36 2,128 ↑ ↓ Local Maximum Point

60 1,388 ↓ - Local Minimum Point

As we can see (30, 1,922) and (60, 1,388) are local minimum points and (40,36 , 2,128) is the local maximum point.

Since (60 , 1,388) is the lowest local minimum point it is the absolute minimum point and (40,36 , 2,128) is the absolute maximum point.

6 0

3 years ago