All categories

3 years ago

HELP ASSAP WITH THIS QUESTION

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

7x+2y=2

steps:
y+21=-7/2x(x-6)
y+21=-7/2x+21
y=-7/2x+21-21
y=-7/2x
7/2x+y=0
2(7/2x+y=0)
7x+2y=2

You might be interested in

Maura is 5 years younger than her sister Cara. Seven years ago, Maura was half as old as her sister. How old is Maura now?

masha68 [24]

Let's call Maura's age now M and Cara's age now C.

We know Maura is five years younger than Cara. In symbols that is, M - 5 = C

We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols: $M-7= \frac{1}{2}(C-7)$

Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:

$M-7= \frac{1}{2}(C-7)$
$C-5-7= \frac{1}{2}(C-7)$
$C-12= \frac{1}{2}C-( \frac{1}{2})(7)$
$C-12= .5C-3.5$
$.5C-12= -3.5$
$.5C= 8.5$
$C= 17$

Cara is 17. Since Maura is 5 years younger she is 12.

As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.

4 0

3 years ago

Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 18 feet. The perimeter of the dog run mu

ale4655 [162]

Answer: $3\leq x \leq 18$

Step-by-step explanation:

Given, the length of the rectangular dog run is 18 feet.

Formula: Perimeter = 2 ( length + width)

Let width be x.

Then, Perimeter = 2 (18 + x ) feet

The perimeter of the dog run must be at least 42 feet and no more than 72 feet.

That is

$42\leq 2 (x+18)\leq 72$

Divide inequality by 2, we get

$21\leq 18+x\leq 36$

Subtract 18 from each side, we get

$3\leq x \leq 18$

Required inequality : $3\leq x \leq 18$

6 0

3 years ago

An 80-m tower is supported by a guy wire attached to the top of the tower. If the wire forms an

nalin [4]

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

Learn more about Sine:

brainly.com/question/21286835

#SPJ1

5 0

2 years ago

10) Solve the inequality to find how many hours until the temperature will

Leno4ka [110]

I Think The answer is a I hope it helps My friend Message Me if I’m wrong and I’ll change My answer and fix it for you

7 0

3 years ago

Read 2 more answers

True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.

NeTakaya

True, because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave. The electromagnetic spectrum encompasses a continuous range of frequencies or wavelengths of electromagnetic radiation, ranging from long wavelength, low energy radio waves to short wavelength, high frequency, high energy gamma rays.

5 0

2 years ago