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3 years ago

Solve.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

7 0

Answer:

(2, -3)

Step-by-step explanation:

Apparently, the equations are supposed to be ...

4x +y = 5
3x +y = 3

The solution for x can be found by subtracting the second equation from the first:

(4x +y) -(3x +y) = (5) -(3)

x = 2 . . . . . . . matches the second answer choice

Y can be found from either equation:

y = 5 - 4x . . . . . subtract 4x from the first equation

y = 5 -4(2) = -3

The solution is (x, y) = (2, -3).

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Find the value of x. x√5=x^4

Kaylis [27]

Answer:

x=0, $\sqrt[6]{5}$

Decimal form,

x=0,1.30766048......

Step-by-step explanation:

x $\sqrt{5}$ = $x^{4}$

x $\sqrt{5}$ - $x^{4}$ =0

(take x as a common factor)

x( $\sqrt{5}$ - $x^{3}$ )=0

So,

x=0 and $\sqrt{5}$ - $x^{3}$ =0

for $\sqrt{5$ - $x^{3}$ =0

(add $x^{3}$ for both sides)

$\sqrt{5}$ = $x^{3}$

x= $\sqrt[3]{\sqrt[2]{5} }$ (multiply 3 by 2)

x= $\sqrt[6]{5}$

So,

x=0, $\sqrt[6]{5}$

5 0

3 years ago

April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the

zaharov [31]

Answer:

The maximum height of the arrow is 125 feet.

Step-by-step explanation:

The pathway of the arrow can be represented by the equation,

$h = -16t^2 +80t + 25$ .....(1)

Where h is height in in feet and t is time in seconds.

It is required to find the maximum height of the arrow. For maximum height, $\dfrac{dh}{dt}=0$ .

So,

$\dfrac{d(-16t^2 +80t + 25)}{dt}=0\\\\-32t+80=0\\\\t=\dfrac{80}{32}\\\\t=2.5\ s$

Put t = 2.5 s in equation (1). So,

$h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}$

So, the maximum height of the arrow is 125 feet.

6 0

3 years ago

Numbers divisible by 100 are divisible by 5.

Reptile [31]

The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.

<h3 /><h3>What is law of detachment?</h3>

Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.

For instance,

Statement A: If there's an increase in Mr Charles salary.

Statement B: Mr Charles buys bicycle for his son.

This means Mr Charles buying bicycle for his son is true because of the increase in income.

Learn more about law of detachment:

brainly.com/question/13966470

#SPJ1

8 0

2 years ago

Helpppp please!!!!!!!!!!

hram777 [196]

Answer:

128.86 cm^2

Step-by-step explanation:

So to start off we need to find the area of the rectangle.

The formula for the area of a rectangle is $l$ × $w$ .

L stands for the length which is 12 and w is the width which is 11.

So 11 × 12 = 132 cm^2.

Now time for the area of a circle.

The formula for that is $\pi r^{2}$ .

So first we need to do 1 × 1 which is 1.

Then 1 × $\pi$ which is just $\pi$ .

Then we do 132 - $\pi$ which is an irrational number.

It looks like this shortened 128.858407346.

Now rounding to the nearest hundreth it would be 128.86 cm^2.

Hence, the area of the shaded region is 128.86 cm^2.

8 0

3 years ago

A baseball coach is determining the batting order for the team. The team has 9 players, but the coach does not want the pitcher

Rus_ich [418]

Answer: 2.25

Step-by-step explanation:

6 0

2 years ago