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3 years ago

Enter three different expressions that are equivalent to, but not exactly the same as 1/4 + 5/4

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

4 0

1.25 + .25 84/48 - 12/48 18/12 ÷ 2/2

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The perimeter of the triangle shown is 30 inches. What is the length of the longest side of the triangle

Simora [160]

Answer:

The length of the longest side of the triangle is 13 inches

Step-by-step explanation:

step 1

Find the value of x

we know that

The perimeter of triangle is equal to the sum of its three length sides

$P=x+(2x+3)+(4x-8)$

$P=(7x-5) \ in$

we have

$P=30\ in$

substitute

$30=(7x-5)$

solve for x

$7x=30+5\\7x=35\\x=5$

step 2

Find the length of the longest side of the triangle

Remember that in a right triangle, the longest side is the hypotenuse

(2x+3) is the longest side

substitute the value of x

$2(5)+3=13\ in$

4 0

3 years ago

Solve the following system of equations algebraically. y=2x-12 y=x+22+3

kirill [66]

Answer:

x=37

Step-by-step explanation:

because

y=y

or as, 2x-12=x+22+3

or as, 2x-x=12+22+3

or as, x = 37

4 0

3 years ago

Explain how to solve 4^x+3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution fo

Masja [62]

The value of x is 1

Explanation:

The equation is $4^x+3=7$

Subtracting both sides by 3, we get,

$4^x=4$

Taking log on both sides, we get,

$\log 4^{x}=\log 4$

Rewriting the equation by $4^{x}=u$

Thus, we have,

$\log u=\log 4$

Applying log rule, if $\log f(x)=\log g(x)$ , then $f(x)=g(x)$

Thus, $u=4$

Substituting $u=4$ in $4^{x}=u$ , we get,

$4^x=4$

Also, since, $a^{f(x)}=a^{g(x)}$ , then $f(x)=g(x)$

Thus, $x=1$

Hence, the value of x is 1

7 0

3 years ago

How do to improper fraction

BARSIC [14]

Well if you want to turn an improper fraction to a mixed number you just divide the denominator by the numerator if that's what your asking

3 0

4 years ago

Read 2 more answers

Find x in this 45°-45°-90° triangle. 145972 x X= 4.572 9 18

Minchanka [31]

IOS share with you and your family

3 0

3 years ago

Enter three different expressions that are equivalent to, but not exactly the same as 1/4 + 5/4​

Enter three different expressions that are equivalent to, but not exactly the same as 1/4 + 5/4