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3 years ago

5.) Find the value: -2/3 - (-2/5) =

Mathematics

1 answer:

Citrus2011 [14]3 years ago

5 0

Answer: -4/15

Step-by-step explanation:

- 2/3 - (-2/5)

= -2/3 + 2/5

= -10/15 + 6/15

= -4/15

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Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −3, 7) and

tia_tia [17]

Answer:

$\vec{r}(t)=\left$

In parametric form:

$x=-1, y=\displaystyle\frac{1}{2}, z=4+t$

Step-by-step explanation:

We first find the mid point:

$\displaystyle\left(\frac{0+(-2)}{2},\frac{-3+4}{2},\frac{7+1}{2}\right)=\left(-1,\frac{1}{2},4\right)$

Then, a vector parallel to the z-axis is:

$\vec{v}=\left< 0,0,1 \right>$

Then remember the equation of a line passing through point $(x_o,y_o,z_o)$ and parallel to the vector $\vec{v}=\left$ is:

$\vec{r}(t)=\left+t\left$

So, in this problem we get:

$\vec{r}(t)=\left+t\left$

After combining the two vectors:

$\vec{r}(t)=\left$

In parametric form:

$x=-1, y=\displaystyle\frac{1}{2}, z=4+t$

7 0

3 years ago

Ben wants to buy a bicycle. The regular price of the bicycle is $140. The sale price of a bicycle is 25% off the regular price.

Valentin [98]

Answer:

Step-by-step explanation:

$140-25%=$115

So it would be $115

7 0

3 years ago

7x+2y=4 y=x+1 Solve the system of equations. (1/3,4/3) (2/9,11,9) no solution

Lunna [17]

Answer: SECOND OPTION

Step-by-step explanation:

You can solve the system of equations by the method of substitution:

- You must susbtitute the second equation into the first equation and solve or x:

$7x+2(x+1)=4\\7x+2x+2=4\\9x=4-2\\9x=2\\x=\frac{2}{9}$

- Now, you must susbtitute the value of x obtained above into the second equation to calculate the value of y. Then, you have:

$y=\frac{2}{9}+1\\\\y=\frac{2+9}{9}\\\\y=\frac{11}{9}$

Therefore, you obtain:

( $\frac{2}{9},\frac{11}{9}$ )

4 0

4 years ago

Read 2 more answers

Solve for x: −3(x + 3) = −3(x + 1) − 5.

erastova [34]

-3(x+3)= -3(x+1)-5
-3x+9=-3x+3-5
so you would have just distributed then you combine like terms and get
-3x+9=-3x-2
then add two to both sides and get
-3x+9=-3x-2
-3x+2=-3x+2
-3x+11=-3x
+3x+11=+3x
0x+11=0x
so 11+0x
divide both by zero and you get x+0

4 0

3 years ago

I really need help with these three questions, urgent!

kow [346]

Intersecting chords:

RT x ST = PT x TQ

2 x 6 = 3 x TQ

12 = 3TQ

TQ = 12/3

TQ = 4

AD = 90 -BE = 90-18 = 72

ADE = 180. DE = 180 - AD = 180-72 = 108

AE = 180. AB = 180-18 = 162

DE = 108

BD = BE +DE = 18 + 108 = 126

DAB = 72 + 162 = 234

ADE = 90 degrees

AB^2 = BC* (BC +x)

8^2 = 2 * (2 +x)

64 = 4 + 2x

60 = 2x

X = 60/2

X = 30

6 0

4 years ago

5.) Find the value: -2/3 - (-2/5) =​

5.) Find the value: -2/3 - (-2/5) =