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LenaWriter [7]
3 years ago
9

The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically a

re shown in the table.Which represents the solution(s) of this system of equations? (4, 4) (–4, –12) (4, 4) and (–4, 12) (–4, 4) and (4, 12)
Mathematics
2 answers:
olchik [2.2K]3 years ago
3 0

Answer:

y = 2x - 4....so sub in 2x - 4 for x in the other equation

y = x^2 - 6x + 12

2x - 4 = x^2 - 6x + 12

x^2 - 6x - 2x + 12 + 4 = 0

x^2 - 8x + 16 = 0

(x - 4)(x - 4) = 0

x - 4 = 0

x = 4

x - 4 = 0

x = 4

solution is (4,4)

(2, −1) and (−4, 17)

Step-by-step explanation:

DedPeter [7]3 years ago
3 0

Answer:

wrong up top

Step-by-step explanation:

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Express 34 as a pencentage
Colt1911 [192]
34 as a percent is 3400%

In order to get this number you move the decimal to places to the right:
34.0 ---> 3400.0 =
3400%
7 0
3 years ago
Read 2 more answers
Please help i’ll give brainliest
a_sh-v [17]

Answer:

Step-by-step explanation:

The answers are 1, 3, and 4 hundred percent sure it is correct

6 0
3 years ago
Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters w
earnstyle [38]

Answer:

Answer:  13.4 m

Step-by-step explanation:

For small angles, x, in radians,

tan(x) ≈ sin(x) = x

Use this to create an approximate diagram for the problem as shown in the figure below.

The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.

The extend length is 3 km + 12 cm, which is 

3000 + 0.12 = 3000.12 m

Half of the extended length is 1500.06 m

Let h+  the rise of the center of the rail above ground.

From the Pythagorean theorem, obtain

h² + 1500² = 1500.6²

h² = 1500.06² - 1500² = 180.004

h = 13.4 m, which is about 0.9% of the original length.

Read more on Brainly.com - brainly.com/question/5596356#readmore

6 0
3 years ago
What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
Aleks [24]

The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)

<h3>Midpoint of coordinate points</h3>

The midpoint of a line is the point that bisects or divides the line into two equal parts

If the line JK is partitioned into the ratio 1:4 with the following coordinates

J(-15, -5) and K(25, 15)

Using the expression below;

M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]

Substitute the ratio and the coordinates

M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]

M(x, y) = [(85)/5, 55/5]

M(x, y) = (17, 11)

Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)

Learn more on midpoint of a line here: brainly.com/question/5566419

#SPJ1

3 0
2 years ago
Megan took out a student loan for $9,075 if she paid $4.537.50 in simple interest over 10 years what percent was her interest ra
madam [21]

Answer:

5%

Step-by-step explanation:

Solving our equation

r = 4537.5 / ( 9075 × 10 ) = 0.05

r = 0.05

converting r decimal to a percentage

R = 0.05 * 100 = 5%/year

The interest rate required to

accumulate simple interest of $ 4,537.50

from a principal of $ 9,075.00

over 10 years is 5% per year.

7 0
3 years ago
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