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4 years ago

Solve the system using elimination. x-3y = -2 2x-3y = -7

Mathematics

1 answer:

nirvana33 [79]4 years ago

5 0

Answer:

x= -5, y=-1 (-5,-1)

Step-by-step explanation:

x-3y = -2

- 2x-3y = -7

-x= 5

/-1 /-1

 x= -5

-5 -3y=-2

+5 +5

-3y= 3

/-3. /-3

y=-1

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What is tbe area of the rhombus?

vodka [1.7K]

d₁ = 4 + 4 = 8

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The area of the rhombus:

8 · 6/2 = 8 · 3 = 24 {u²]

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4 years ago

Find a linear equation with two variables that, together with the

Mila [183]

Answer:

10x+5y=2

Step-by-step explanation: You have the equation 10x+5y=1 and from the problem, we are trying to find an equation that does not produce a solution with 10x+5y=1. To do this know 1 is your y-intercept and if you put 10x+5y=1 into slope-intercept form you'll get y=-2x+1/5. Solve the problem know that you can use any number besides 1 on the right side and have the same slope to fit the question. What I mean is that let's say I have 10x+5y=2, I put it into a slope-intercept form I'll have y=-2x+2/5. The two equations y=-2x+1/5 and y=-2+2/5 will not meet because their slopes are PARALLEL. So in short have a different y-intercept but the same slope to not get a solution. Additional note you could have other y-intercepts such as 3,4,5,6,7,8, or 9 in your standard form equation 10x+5y= to get a equation that does not make a solution with 10x+5y=1.

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2 years ago

Which of the following shows that EFGH is a parallelogram for y=7 and z=9?

Anna35 [415]

Option B: $m \angle F=m \angle G=120^{\circ}$ and $m \angle E=60^{\circ}$ , so $\angle E$ is supplementary to both $\angle F$ and $\angle G$ , so EFGH is a parallelogram.

Option C: $m \angle F=m \angle G=120^{\circ}$ so EFGH is a parallelogram.

Option D: $m \angle E+m \angle G=180^{\circ}$ so EFGH is a parallelogram.

Explanation:

Option A: $m \angle E=m \angle F=60^{\circ}$ and $m \angle G=120^{\circ}$ so $\angle G$ is supplementary to both $\angle E$ and $\angle F$ , so EFGH is a parallelogram

Let us substitute $y=7$ and $z=9$ in $m \angle E=(7y+11)^{\circ}$ , $m \angle F=(17y+1)^{\circ}$ and $m \angle G=(14z-6)^{\circ}$ to determine the exact measures the angles of the parallelogram.

Substituting, we get, $m \angle E=60^{\circ}$ , $m \angle F=m \angle G=120^{\circ}$

Thus, $m \angle E\neq m \angle F$ because the measures of these angles are not equal.

Hence, Option A is not the correct answer.

Option B: $m \angle F=m \angle G=120^{\circ}$ and $m \angle E=60^{\circ}$ , so $\angle E$ is supplementary to both $\angle F$ and $\angle G$ , so EFGH is a parallelogram.

Let us substitute $y=7$ and $z=9$ in $m \angle E=(7y+11)^{\circ}$ , $m \angle F=(17y+1)^{\circ}$ and $m \angle G=(14z-6)^{\circ}$ to determine the exact measures the angles of the parallelogram.

Thus, substituting, we have, $m \angle E=60^{\circ}$ , $m \angle F=m \angle G=120^{\circ}$

Hence, Option B is the correct answer.

Option C: $m \angle F=m \angle G=120^{\circ}$ so EFGH is a parallelogram.

To determine the angles, let us substitute $z=9$ in $m \angle F=(17y+1)^{\circ}$ and $m \angle G=(14z-6)^{\circ}$

Thus, $m \angle F=m \angle G=120^{\circ}$

Since, the opposite angles of a parallelogram are equal, EFGH is a parallelogram.

Hence, Option C is the correct answer.

Option D: $m \angle E+m \angle G=180^{\circ}$ so EFGH is a parallelogram.

Let us substitute $y=7$ and $z=9$ in $m \angle E=(7y+11)^{\circ}$ , $m \angle F=(17y+1)^{\circ}$ and $m \angle G=(14z-6)^{\circ}$ to determine the exact measures the angles of the parallelogram.

Substituting, we have, $m \angle E=60^{\circ}$ , $m \angle F=m \angle G=120^{\circ}$

Adding the angles E and G, we have,

$m \angle E+m \angle G=60^{\circ}+120^{\circ}=180^{\circ}$

By the property of parallelogram, any two adjacent angles add upto 180.

Thus, the adjacent angles E and G add upto 180.

Hence, Option D is the correct answer.

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4 years ago

Algebraically solve the systems of equations by using f(x)=g(x). f(x)=x^2-6x+10 g(x)=x^2-2

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Step-by-step explanation:

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4 years ago

A rectangle has an area of 235.2m squared. One of the sides is 2.8m in length. work out the perimeter of the rectangle, please?

ehidna [41]

Answer:

Steps:

given:

A = 235.2 m²

S1 = 2.8 m

S2 = A/S1

S2 = 235.2/2.8

S2 = 84 m

P = 2(S1+S2)

P = 2(2.8+84)

P = 2 × 86.8

P = 173.6 m

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3 years ago