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3 years ago

1.Could 18 in, 6 in, and 13 in, form a triangle?

Mathematics

1 answer:

lianna [129]3 years ago

3 0

Answer:

1. yes

2. yes

3. no

4. no

5. yes

Step-by-step explanation:

The questions you're asking relate to the Triangle Inequality Theorem, which states that the two smallest sides (ex. 6 and 13) have to be of greater value than the largest side (ex. 18)

1. 6+13>18

2. 34+27>58

3. 29+9=38 (since the value of the two smallest sides are equal, it does not apply to the Triangle Inequality Theorem, and therefore won't be a triangle)

4. 12+12<25

5. 19+14>31

Happy to help <3

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2(-4y-7)+3=11 solve for y

Vikki [24]

Answer:

y = -11/4

Step-by-step explanation:

2 ( -4y - 7) + 3 = 11

-8y - 14 + 3 = 11

-8y - 11 = 11

-8y = 22

y = -11/4

8 0

3 years ago

Read 2 more answers

Select the correct answer.

Naya [18.7K]

Step-by-step explanation:

step 1. The square matrices are C and D.

step 2. If you add up the top rows you get 2, 8, -4 .

step 3. The answer is B.

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3 years ago

In triangle STU, u2 = s2 + t2.

sineoko [7]

Answer:

(B) The measure of angle SUT is equal to 90 degrees

Step-by-step explanation:

It is given that in In triangle STU, $u^2=s^2+t^2$ .

We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

$(Hyp)^2=(Base)^2+(Perpendicular)^2$

that is:

$u^{2}=s^{2}+t^{2}$

where u is the hypotenuse, s is the base and t is the perpendicular.

Thus, the angle SUT should be of 90°.

Thus, The measure of angle SUT is equal to 90 degrees.

Hence, option B is correct.

3 0

3 years ago

Solve each of the following equations. Show its solution set on a number line. Check your answers.

valina [46]

Answer:

1.)p=19

2.)x=6

Step-by-step explanation:

I dont know how to do it on a number line but am positive them are the right answers.

8 0

3 years ago

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32<br> what value of x is the equation 2^2x+ 7 = 2^15true?

Talja [164]

Value of x = 7.499

Step-by-step explanation:

We need to find value of x in the equation: $2^{2x}+ 7 = 2^{15}$

This can be solved using natural log

Solving:

$2^{2x}+ 7 = 2^{15}$

Subtract 7 from both sides:

$2^{2x}+ 7-7 = 2^{15}-7$

Simplifying:

$2^{2x}=32768-7$

$2^{2x}=32761$

Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))

So,

$ln(2^{2x})=ln(32761)$

Applying log rule: logₐ(x^b)= b logₐ(x)

$2x(ln(2))=ln(32761)$

Divide both sides by 2ln(2)

$2x(ln(2))=[tex]\frac{2x(ln(2))}{2(ln(2))}=\frac{ln(32761)}{2(ln(2))} \\x=\frac{ln(32761)}{2(ln(2))}\\Rewriting\,\,32761\,\,as 181^2\\x=\frac{ln(181^2)}{2(ln(2))}\\x=\frac{2ln(181)}{2(ln(2))}\\x=\frac{ln(181)}{ln(2)}\\x=7.499$

So, Value of x = 7.499

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

3 0

4 years ago