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Rzqust [24]
3 years ago
14

Solve the simultaneous equations. Please help

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

x=1/2, y=4

Step-by-step explanation:

Double both sides of the top equation:

4x+6y=26

Now subtract boths sides of the second one from the first one:

(4x+6y) - (4x-y) = 26 - (-2)

7y = 28

so y = 4

4x-y=-2 so 4x-4=-2

4x=2

x=1/2

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Estimate 17.26+4.556 by first rounding each number to the nearest tenth. I need help​
ANEK [815]

Answer:

21.9

Step-by-step explanation:

When rounding to the nearest tenth, we are rounding to 1 decimal place.

If the number in the hundredth place is 5 or more, we round up.

If the number in the hundredth place is less than 5, we round down.

17.26 rounded to the nearest tenth is 17.3

as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.

4.556 rounded to the nearest tenth is 4.6

as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.

Therefore, 17.3 + 4.6 = 21.9

5 0
2 years ago
The sum of the first and second of three consecutive even integers is 158. find the three even integers.
Evgesh-ka [11]
Teh three terms are 78, 80, and 82
7 0
4 years ago
Area of DEF = 6 sq ft
Anna11 [10]

Answer:

54 ft^2

(54 in green box; 2 in grey box)

Step-by-step explanation:

We have 2 similar triangles, ABC and DEF.

The area of triangle DEF is given as 6 sq ft.

Side BC of triangle ABC measures 12 ft.

The corresponding side to BC in triangle DEF is EF. It measures 4 ft.

That gives us a scale factor from triangle DEF to triangle ABC.

<em>To find the scale factor between two similar polygons, divide the length of a side of the second polygon by the length of the corresponding side of the first polygon.</em>

scale factor = BC/EF = (12 ft)/(4 ft) = 3

The scale factor of side lengths is 3.

The ratio of the areas is the square of the scale factor.

ratio of areas = 3^2 = 9

Now multiply the area of the first triangle (DEF) by the ratio of areas to get the area of the second triangle (ABC).

area of triangle ABC = 9 * (area of triangle DEF)

area of triangle ABC = 9 * (6 sq ft)

area of triangle ABC = 54 sq ft

Answer: 54 ft^2

(54 in green box; 2 in grey box)

6 0
4 years ago
A parabola has an x-intercept of -1, a y-intercept of -3, and a minimum of -4 at x = 1.
Svet_ta [14]

(x-1)^2-4

If u put the vertex into vertex form you get this answer.

4 0
3 years ago
Find the component form of -u - v given that u=(-5,6) and v =(7,-3)
sergij07 [2.7K]

Answer: Third option

-u-v =

Step-by-step explanation:

We have the vector u and the vector v. We must perform the operation -u-v.

To perform this operation multiply the vector u by -1 and multiply the vector v by -1.

If u = (-5,6)

So

-1u = (5, -6)

If v = (7, -3)

So

-1v = (-7, 3)

Then the sum of both vectors is done by adding the components of u with the components of v.

-u-v = (5, -6) + (-7,\ 3)\\\\-u-v = (5-7\ ,\ -6 + 3)\\\\-u-v = (-2,\ -3)

7 0
4 years ago
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