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3 years ago

Which graph best represents a system of equations that has no solution?

Mathematics

1 answer:

olasank [31]3 years ago

6 0

Answer:

Step-by-step explanation:

A system of equations with no solution means the lines are parallel and never intersect.

The only graph showing a possible set of parallel lines is D

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On a map of a town, 3 cm represents 150 m. Two points in the town are 1 km apart. How far apart are the two points on the map?

dmitriy555 [2]

Answer:

5000 km

Step-by-step explanation:

We are given that

3 cm represents on a map of a town=150 m

Distance between two points=1 km

We have to find the distance between two points on the map.

3 cm represents on a map of a town=150 m

1 cm represents on a map of a town=150/3 m

1 km=1000 m

1 m=100 cm

$1km=1000\times 100=100000 cm$

100000 cm represents on a map of a town

= $\frac{150}{3}\times 100000$ m

100000 cm represents on a map of a town=5000000 m

100000 cm represents on a map of a town

= $\frac{5000000}{1000} km$

100000 cm represents on a map of a town=5000 km

Hence, two points are separated by 5000 km on the map.

6 0

3 years ago

Help me please find x for this triangle!!!!

Ne4ueva [31]

Answer:

x=30

Step-by-step explanation:

Since the measure of an exterior angle is equal to the sum of any two angles in a triangle, the equation would be 4x-18=2x+6+36. Solve this, and we get x=30.

Hope this helped!

5 0

3 years ago

Danna's age is 6 years less than 8 times Tessa's age. If Tessa's age is x years, which expression best shows Danna's age?

Marat540 [252]

6 - 8x is the correct answer

3 0

3 years ago

Read 2 more answers

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

Rico bought 3 adult tickets and 5 child tickets for a total of $50.

aliina [53]

Step-by-step explanation:

3x + 5y = 50

x + 5y = 31

use substitution

x = 31-5y

3(31-5y) +5y = 50

93 -15y + 5y = 50

93 - 10y = 50

--10y = -43

y = 43/10 = $4.30 for kids

now solve for x

x + 5(4.30) = 31

x + 21.5 = 31

x = $9.5 for adults

4 0

3 years ago