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3 years ago

Given that 3+√5/4−√5 = a + b√5, find the values of “a” and “b”URGENT PLZ ANSWER!

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

Answer:

Step-by-step explanation:

hello :

√(5/4)= √5/ √4 =√5/2 = (1/2)√5

3+√5/4−√5 = 3+(1/2)√5 so : a=3 and b= 1/2

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Which expressions are equivalent to 2 (three-fourths x 7) minus 3 (one-half x minus 5)? Check all that apply. -1 29 2 (three-fou

Otrada [13]

The expression is equivalent to $\rm2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$ .

<h2 /><h2>Given that</h2>

Expression; $\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)$

<h3>We have to determine</h3>

Which expressions are equivalent to the given expression.

<h3>According to the question</h3>

Expression; $\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)$

To solve the given expression follow all the steps given below.

By applying the distributive property of multiplication;

$\rm a(b+c) = ab+ac$

Then,

The equivalent expression is,

$\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)\\
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\rm (2 \times \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\
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2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$

Hence, the expression is equivalent to $\rm2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$ .

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2 years ago

A rectangular garden has a walkway surrounding it that is 4 feet wide (a uniform width

Oksana_A [137]

Answer: 300 square feet

Step-by-step explanation:

length of walkway = 20 + 2x

width of walkway = 15 + 2x

A(x) = (20 + 2x)(15 + 2x)

A(x) = 300 + 30x + 40x + 4x2

A(x) = 300 + 70x + 4x2

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3 years ago

a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear speed, in feet per

Yuri [45]

Answer:

The linear speed is $1,130.4\frac{ft}{min}$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ ft$

$\pi =3.14$

substitute

$C=2(3.14)(18)$

$C=113.04\ ft$

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

10 revolutions is equal to

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3 years ago

Draw a fraction that is equivalent to 1/6

iVinArrow [24]

Some equivalent fractions of 1/6 are:
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3 years ago

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sveticcg [70]

Answer:

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Step-by-step explanation:

1. Divide 4 on both sides to cancel out the 4 on the right side since it is an equation so it has to remain “equal”/ balanced.

2. You get 7=w-3.

3. Add 3 on both sides.

4.You get w=10.

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3 years ago

Read 2 more answers