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3 years ago

13

Evaluate the expression 4^3+(96/8)*5)-48 =

1 answer:

Oksana_A [137]3 years ago

5 0

Answer:

76

Step-by-step explanation:

64 + (12 × 5) - 48

64 + 60 - 48

76

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Find the parametric equations for the line that passes through the points P (1,1,0) and Q (0,2,2).

sp2606 [1]

Answer:

The parametric equations for the given line are x=1-t, y=1+t and z=2t.

Step-by-step explanation:

Given information: P (1,1,0) and Q (0,2,2).

The parametric equation of line are

$x=x_0+at$

$y=y_0+bt$

$z=z_0+ct$

where, $(x_0,y_0,z_0)$ is point on line and <a,b,c> is direction vector.

The line passes through the points P (1,1,0) and Q (0,2,2). So, the direction vector is

$\overrightarrow{v}=$

$\overrightarrow{v}=$

$\overrightarrow{v}=$

The direction vector is <-1,1,2>. So, a=-1, b=1 and c=2. The parametric equation of line are

$x=1+(-1)t=1-t$

$y=1+(1)t=1+t$

$z=0+(2)t=2t$

Therefore the parametric equations for the given line are x=1-t, y=1+t and z=2t.

5 0

3 years ago

WILL MARK AS BRAINLINEST!!

ira [324]

Answer:

Step-by-step explanation:

1. 54 Students

2. 4 Students

3.) 33 Students

4.) 10 Students

Just justify the answer for 5 and 6 you can do it<<33

4 0

2 years ago

The length of a rectangle is 3 in more than twice it’s width, and it’s area is 65 sq in. What is it’s width?

likoan [24]

Answer: 5 inches.

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

$A=w*l$

Where l is the length and w is the width.

If the length of a rectangle is 3 inches more than twice it’s width, then:

$l=2w+3$

Substitute $l=2w+3$ and the area into the formula and solve for the width:

$65=(2w+3)w\\65=2w^2+3w\\0=2w^2+3w-65$

Use the quadratic formula:

$w=\frac{-b\±\sqrt{b^2-4ac}}{2a}\\\\w=\frac{-3\±\sqrt{3^2-4(2)(-65)}}{2(2)}\\\\w=5\\w=-6.5$

Choose the positive value.

Therefore, the width is: 5 inches.

4 0

3 years ago

Read 2 more answers

Consider this system of linear equations;

enyata [817]

Answer:

The values of $m_{2}$ and $b_{2}$ that will create a system of linear equations with no solution are $m_{2} = -3$ and $b_{2} = -3$ .

Step-by-step explanation:

An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:

$y = m_{1}\cdot x + b_{1}$ (1)

$y = m_{2}\cdot x + b_{2}$ (2)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$m_{1}$ , $m_{2}$ - Slope.

$b_{1}$ , $b_{2}$ - y-Intercept.

If both lines are parallel to each other, then we must observe these two conditions:

1) $m_{1} = m_{2}$

2) $b_{1} \ne b_{2}$

Therefore, the values of $m_{2}$ and $b_{2}$ that will create a system of linear equations with no solution are $m_{2} = -3$ and $b_{2} = -3$ .

5 0

3 years ago

Read 2 more answers

63/90 < 70/90 is this a true statement

Semmy [17]

Yes, this is a true statement.

Since the denominators are the same, pay attention to the numerators.

63 is less than 70,so 63/90 <70/90

5 0

3 years ago