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tamaranim1 [39]
2 years ago
13

Which is best represent the area of a triangle of a height of x+7 and a base of 2x+12

Mathematics
1 answer:
Archy [21]2 years ago
8 0

\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=x+7\\ b=2x+12 \end{cases}\implies A=\cfrac{1}{2}(2x+12)(x+7) \\\\\\ A=\cfrac{1}{2}\underset{\stackrel{\uparrow \qquad }{\textit{common factoring}}}{2(x+6)(x+7)}\implies A=(x+6)(x+7)\implies A=\stackrel{\mathbb{F~O~I~L}}{x^2+13x+42}

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Which term describes a strong sense of attachment to one's homeland?
meriva

Answer:

Nationalism

Step-by-step explanation:

I would say Nationalism because it is a strong identification with one's own nation and support for its interests, especially to the exclusion or detriment of the interests of other nations.

3 0
3 years ago
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What is 500,000,000 +100,000,000:-500
k0ka [10]

Answer:

599999500

Step-by-step explanation:

7 0
2 years ago
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(04.05 LC)<br> Which of the following inequalities matches the graph?
velikii [3]

Answer:

y ≤ 0

Step-by-step explanation:

The circle isn't shaded in so the value is less than and y

cause below the line (or 0,0) the graph is shaded

8 0
2 years ago
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b = 77 centimeters and c = 85
MAVERICK [17]

Answer:

The perimeter of the triangle 198 cm.

Step-by-step explanation:

Given that,

In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.

Pythagorean Theorem:

Sum of square of the legs is equal to square of hypotenuse.

∴a²+b²=c²

a= ?, b= 77 cm and c=85 cm

a²+77²=85²

⇒a²+5929=7225

⇒a²=7225-5929

⇒a²= 1296

⇒a = 36 cm

The perimeter of the triangle = sum of all sides

                                                =a+b+c

                                                 =(36+77+85) cm

                                                = 198 cm

4 0
3 years ago
What does x equal in y=|x| when y=-3
Simora [160]
Replace all the variables that we know the value for.

-3 = |x|

Make to equations from this one.

-3 = x and -3 = -(x)

Solve the first one.

-3 = x
x = -3 <-- Switch it around

-3 = -(x)
-(x) = -3 <-- Switch it around
x = 3 <-- Divide both sides by -1

So, there are two possible answers, -3 and 3.
4 0
3 years ago
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