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Sliva [168]
4 years ago
8

15. • Solve the simultaneous equations

Mathematics
1 answer:
tamaranim1 [39]4 years ago
5 0
Answer:
B. 1 and -2
Explanation:
First, add up the equations:
x-x+3y+y=4
4y=4
y=1
Now, plug y into any of the original equations above and solve for x:
-x+1=3
-x=2
x=-2
Therefore, the answer is B. 1 and -2
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Find the altitude and area of an equilateral triangle
Nataliya [291]
If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
Height = side length * sq root (3) / 2
Area = side^2 * sq root (3) / 4




4 0
3 years ago
Which of the following rational functions is graphed below?​
vampirchik [111]

Answer:

The correct option is D.

i.e.

f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

The correct graph is shown in attached figure.

Step-by-step explanation:

Considering the function

f\left(x\right)=\frac{1}{x\left(x+4\right)}

\mathrm{Domain\:of\:}\:\frac{1}{x\left(x+4\right)}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

\mathrm{Range\:of\:}\frac{1}{x\left(x+4\right)}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-\frac{1}{4}\quad \mathrm{or}\quad \:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{1}{4}]\cup \left(0,\:\infty \:\right)\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{None}

\mathrm{Extreme\:Points\:of}\:\frac{1}{x\left(x+4\right)}:\quad \mathrm{Maximum}\left(-2,\:-\frac{1}{4}\right)

So, the correct graph is shown in attached figure.

Therefore, the correct option is D.

i.e.

f\left(x\right)=\frac{1}{x\left(x+4\right)} is the correct option.

7 0
3 years ago
Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes.
densk [106]

The dimensions of the base of Box 1 are x by 3x.


The base area of Box 1 is:

3x^2

6 0
3 years ago
Read 2 more answers
How many centimeters are there in 75 meters?
kumpel [21]

Answer:

7500. There are 100 centimeters in a meter therefore 75 meters have 7500 centimeters.

3 0
3 years ago
Read 2 more answers
What is the area of this triangle? Enter your answer in the box. in² Triangle. Base is labeled 10 inches. A segment extending fr
Luba_88 [7]

Answer:

20 in³

Step-by-step explanation:

Area of a triangle is half the base times the perpendicular height:

A=0.5bh

=0.5*10*4

=20

3 0
3 years ago
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