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2 years ago

Eliminating by multiplying X+3y=1 -5x+4y=-24

Mathematics

1 answer:

gavmur [86]2 years ago

3 0

Answer:

y = -1 x = 4

Step-by-step explanation:

(X+3y=1) 5 Multiply this equation by 5 to cancel out the x

-5x+4y=-24

-5x + 4y= -24

+ 5x + 15y = 5 Add both equations together

19y = -19 Divide both sides by 19

y = -1

Plug -1 for y into one of the equations

x + 3(-1) = 1 Multiply 3(-1)

x - 3 = 1

+ 3 + 3 Add 3 to both sides

x = 4

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The coordinate grid shows points A through K. What point is a solution to the system of inequalities?

Eddi Din [679]

Answer:

Option D) F

Step-by-step explanation:

we have

$y < -2x+10$ -----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=-2x+10$

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

$y < \frac{1}{2}x-2$ ----> inequality B

The solution of the inequality B is the shaded area below the dashed line $y=\frac{1}{2}x-2$

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

see that attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

therefore

The solution are the points

E, F and G

8 0

2 years ago

A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples?

nataly862011 [7]

3 divided by 2 = 1.50
1.50×10=15

6 0

2 years ago

tim spends 25% of his time at the gym dooing leg exercises , 1/5 on shoulder exercises , 0.35 on biceps exercises , and warming

svetoff [14.1K]

Answer:

20%

Step-by-step explanation:

1/5 of 1 hour = 20 minutes

so 1/5 = 20%

25% + 20% = 45%

0.35 = 35%

45% + 35% = 80%

100% - 80% = 20%

Answer = 20%

Hope this helps!

3 0

2 years ago

TRIANGLE ABC IS DILATED BY A SCALE FACTOR OF 0.5 WITH THE ORIGIN AS THE CENTER OF DILATION, RESULTING IN THE IMAGE TRIANGLE A'B'

const2013 [10]

Answer: The length of the line B'C" is 1 unit.

Step-by-step explanation:

Given: Triangle ABC is dilated by a scale factor of 0.5 with the origin as the center of dilation , resulting in the image Triangle A'B'C'.

If A (2,2), B= (4,3) and C=(6,3).

Distance between (a,b) and (c,d): $D=\sqrt{(d-b)^2+(c-b)^2}$

Then, BC $=\sqrt{(3-3)^2+(6-4)^2}$

$\\\\=\sqrt{0+2^2}\\\\=\sqrt{4}\\\\=2\text{ units}$

Length of image = scale factor x length in original figure

B'C' = 0.5 × BC

= 0.5 × 2

= 1 unit

Hence, the length of the line B'C" is 1 unit.

5 0

2 years ago

The diameter of this circle is 12 inches. The diameter of the smaller circle is 8 inches. find the area of the SHADED region.

kolezko [41]

Answer:

so you multiply 12 by 8 =96

3 0

2 years ago

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