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3 years ago

Evaluate the expression for the given value of the variable 3a+4b; a= -6, b=-5

Mathematics

2 answers:

Dimas [21]3 years ago

5 0

3 x -6 + 4 x -5
= -18+ -20
= -38

m_a_m_a [10]3 years ago

3 0

Given 3a+4b, substitute -6 for a and -5 for b:

3(-6) + 4(-5) = -18 - 20 = -38

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A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to

Misha Larkins [42]

Answer:

The equation to determine the length is $4w+2w=48$ .

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = $48\ ft$

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

$l=2w$ ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

$2(l+w)=48$ ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

$2(2w+w)=48$

Applying Distributive property we get;

$2\times2w+2\times w=48\\\\4w+2w=48$

Hence, The equation to determine the length is $4w+2w=48$ .

On Solving the above equation we get;

$4w+2w=48\\\\6w=48$

Dividing both side by 6 we get;

$\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft$

Now Substituting the value of 'w' in equation 1 we get;

$l=2w=2\times8=16\ ft$

Hence The Length of the exercise mat is 16 feet.

3 0

3 years ago

Write an equation for a line perpendicular to y=-4x-1 and passing through the point (-4,-3). Write in y=mx+b form

algol [13]

Y= 1/4x+b
-3= 1/4(-4) +b
-3= -1 +b
-2 = b

y=1/4x-2

7 0

3 years ago

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build

Svetlanka [38]

We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x

x^2+36=100 Square each individual term

x^2+=100+36 Subtract 36 from both sides

x^2=64 Combine like terms

sqrt(2)=sqrt(64) Take the square root of both sides

x = 8 Simplify the square root

So our answer is x = 8
The ladder touches the 8 feet mark on the wall.

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3 years ago

What is 900 as an exponent

Komok [63]

30^2= 30×30=900 so 30^2 is the answer

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Factor by grouping 9m3-3m2p2-3mp+p3

Setler [38]

(3m^2-p)(3m-p^2)
You factor out the 3m^2 and p from the combined like terms and then group those into a factor and group the two identical factors together and (3m^2-p)(3m-p^2) is your answer.

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4 years ago