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alexdok [17]
3 years ago
10

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!

Mathematics
1 answer:
Sever21 [200]3 years ago
4 0

Answer:

Exactly one solution

Step-by-step explanation:

4x -2y = 8

2x +y = 2

Multiply the second equation by 2

4x +2y = 4

Add the two equations together

4x -2y = 8

4x +2y = 4

-------------------

8x = 12

x = 12/8

We know there will be one solution

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
A circular cone has volume 1200 cubic inches and radius 5 inches. What is the height of the cone, to the nearest tenth inch?
asambeis [7]

I multiply 1200 times 5 and yet 6000 because it says what is the height

3 0
3 years ago
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed
OlgaM077 [116]

Answer:

Test is Left tailed test

Parameter tested is standard deviation

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0: σ = 8.6

Alternative hypothesis; H1: σ < 8.6

Where;σ is a constant generally known in statistics as the standard deviation.

Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.

Alternative hypothesis says σ < 8.6.

This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.

Thus, it's a left tailed test

3 0
3 years ago
Add up the answer first to see of these correct or incorrect, if incorrect explain why it is not equal.
Stells [14]

Answer:

1) incorrect

2) incorrect

Step-by-step explanation:

-2x-2x = 0 ?

-2x -2x = -4x

It will be 0 only if x = 0.

Not always true, so incorrect

x+x = x² ?

2x = x²

They will be equal if x = 0 or 2.

Not always true so incorrect

8 0
3 years ago
HELP NOW PLEASE I WILL GIVE BRAINLIEST IT'S URGENT!!!!!!
Degger [83]

Answer:

24

Step-by-step explanation:

y= 24-4x

8 0
3 years ago
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