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3 years ago

If x=14, what is the value of 3(x + 5)?

Mathematics

1 answer:

gladu [14]3 years ago

5 0

Answer:

Step-by-step explanation:

parentheses first then multiply by 3

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.

DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

$5_b \cdot 23_b = 151_b$

The easiest way to approach this is to convert all the numbers to base 10.

$5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0$

$b^2-5b-14=0$

Next, we factorize the resulting expression.

$b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2$

The positive value of b for which the equality hold is 7.

3 0

3 years ago

19. Jessie is building a ramp for loading motorcycles

goldenfox [79]

Answer:

A. 10.82

Step-by-step explanation:

7 0

3 years ago

I'm horrible at this so can I please get help, the rest says "solve for a. a=

Inessa05 [86]

Answer:

a = $\sqrt{63}$

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 9² = 12²

a² + 81 = 144 ( subtract 81 from both sides )

a² = 63 ( take square root of both sides )

a = $\sqrt{63}$

8 0

3 years ago

How to know if an equation is false, true, or an open scentence

beks73 [17]

Well it is true if the problem is the right with the right answer. If not you have a false eqaution.

4 0

4 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-6,-6)and has a slope of -\frac{1}{3}− ?

Gnesinka [82]

9514 1404 393

Answer:

y +6 = (-1/3)(x +6)

Step-by-step explanation:

Given a point and a slope, it is appropriate to use the point-slope form to represent the equation:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

For your point and slope, the equation is ...

y -(-6) = -1/3(x -(-6))

y +6 = -1/3(x +6)

Of course, this can be rearranged to whatever form you need.

y = -1/3x -8 . . . . slope-intercept form

x +3y = -24 . . . . standard form

3 0

3 years ago