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2 years ago

Change the following expression to an equivalent expression in exponential form

Mathematics

1 answer:

Sever21 [200]2 years ago

8 0

Answer:

12^4/5

Step-by-step explanation:

When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom

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Which systems of equations intersect at point A in this graph?

abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) = (-2, 1)

The correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Arrange equation variable for elimination

$\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}$

$y+3x=-5$

$-$

$\underline{y-4x=9}$

$7x=-14$

so the system of equations becomes

$\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}$

Solve 7x = -14 for x

$7x=-14$

Divide both sides by 7

$\frac{7x}{7}=\frac{-14}{7}$

Simplify

$x = -2$

For y - 4x = 9 plug in x = 2

$y-4\left(-2\right)=9$

$y+4\cdot \:2=9$

$y+8=9$

Subtract 8 from both sides

$y+8-8=9-8$

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) = (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

3 0

2 years ago

Can atriangle be formed with side lengths of 5cm. 10cm and 15cm

andreyandreev [35.5K]

Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc

In this case:
a=15 cm
b=10 cm
c=5 cm

cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1

A=arc cos -1=180º This is impossible, because:

A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).

Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.

3 0

3 years ago

Read 2 more answers

the variables x and y vary inversely with a constant variation of 7. Use the variation formula, k=xy, to find why when x=9

dolphi86 [110]

1.Make y the subject

k = xy

k/x = xy/x

y = k/x

2.Substitute

y = k/x

y = 7/9

y = 0.777......

y = 0.8 (Answer)

To confirm

k = xy

k = 9 × 0.8

k = 7.2

k = 7 (constant)

Hope it helps☺

7 0

2 years ago

Please help! 16/20. Will give brainliest! Spam answers will not be tolerated!

AysviL [449]

Answer:

(11x+7)(3x−2)

3 0

2 years ago

Please answer this correctly

Gnoma [55]

Answer:

3:30 pm

Step-by-step explanation:

Games : 1 hour

Cleaning : 1 hour

Homework: 30 minutes

Total time

1+1+ 30 minutes

She started at 1 pm

1 + 2 hour 30 minutes

1 +2 hours = 3 pm

3+30 minutes = 3:30

3 0

2 years ago

Read 2 more answers