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3 years ago

Solve the equation: x3−20=−15

Mathematics

2 answers:

Jlenok [28]3 years ago

8 0

Answer:

1 2/3

Step-by-step explanation:

3x-20= -15

+20 +20

3x = 5

= 1 2/3

Hope This Helps!

stich3 [128]3 years ago

7 0

Answer:

x = 1.71

Step-by-step explanation:

$x^3-20=-15\\x^3=-15+20\\x^3=5\\\sqrt[3]{x^3} =\sqrt[3]{5} \\x=1.71$

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What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

3 years ago

Two quantities are related, as shown in the table: x y 2 2 4 5 6 8 8 11 Which equation best represents the relationship? (4 poin

Bogdan [553]

That would be y =3/2 x - 1

Thats the third choice

4 0

3 years ago

Read 2 more answers

Write an expression showing 5 less than the number K

BigorU [14]

Answer:

k-5

Step-by-step explanation:

5 0

2 years ago

In what time will Rs. 5600 amount to Rs. 6720 at 8% per annum?

Leona [35]

Answer: 2 years

Step-by-step explanation:

If Interest= Principal x rate x time/100; then time is (100 × Interest)/(Principal × Rate)

From the question, old Principal is 5600, new principal =6720, the difference is the interest accrued.

Interest = 6720 - 5600 = Rs 1120

Rate = 8% = 8 ÷ 100 = 0.08

Time = x

Then, slot the values into the formula

Time= 100 x 1120 / 6720 x 8

= 112000/53760

=2.08

Time= 2years

I hope this helps

8 0

3 years ago

Can you help me please to prove that the bleu areas are same without without useing numbers.

Nikitich [7]

Answer:

Answer

Answer:

they ate the some area just one is

stretched out more than the other one

Just draw a line from point D join to point

The triangle formed DME will be

congruent to AMC

Explanation:

3 0

2 years ago