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3 years ago

What is the solution to this system of linear equations? Y-x=6 y+x=-10

1 answer:

8 0

$\left\{\begin{array}{ccc}y-x=6\\y+x=-10\end{array}\right\ \ \ |add\ both\ sides\ of\ the\ equations\\\\2y=-4\ \ \ \ |:2\\y=-2\\\\substite\ the\ value\ of\ y\ to\ second\ equation\\\\-2+x=-10\ \ \ |+2\\x=-8$

$Answer:\ x=-8\ and\ y=-2$

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omeli [17]

Answer:

The answer would be Part F

8 0

2 years ago

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

3 years ago

I need help plz help me its due tomorrow

BigorU [14]

A blue whale weighs more than an African elephant by 111.5 tons

African elephant= 15,000/2,000= 7.5 tons

Blue whale weighs 238,000/2,000=
119 tons

119-7.5 = 111.5 tons

8 0

3 years ago

Calculate the average time the car took to reach each checkpoint. Record the average time in Table D of your Student Guide. The

zhuklara [117]

The average time the car took to reach each checkpoint are:

2.07
3.16
4.11
4.92

<h3>Average time</h3>

Given:

Time interval

1 2 3 4

2.02 3.17 4.12 4.93

2.05 3.07 3.98 4.81

2.15 3.25 4.23 5.01

Hence:

First quarter checkpoint

Average time= (2.02 + 2.05 + 2.15) / 3

Average time=6.22/3

Average time= 2.07s

Second quarter checkpoint

Average time= (3.17 +3.07 + 3.25) / 3

Average time=9.49/3

Average time = 3.16 s

Third quarter check point

Average time= (4.12 + 3.98 + 4.23) / 3

Average time=12.33/3

Average time= 4.11 s

Fourth quarter check point

Average time = (4.93 + 4.81 + 5.01) / 3

Average time=14.75/3

Average time= 4.917 s

Average time=4.92s (Approximately)

Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.

Learn more about average time here:brainly.com/question/19136062

#SPJ1

6 0

2 years ago

Today, Mariam wants to do no more than 120 jumping jacks for her workout in 6 minutes. She already did 30 jumping jacks. Which i

Alisiya [41]

Answer:

The answer is 132.

5 0

3 years ago