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2 years ago

6

How many solutions does the following system of equations have? 2y= 5x + 4 1 = 3x + 2

1 answer:

Elden [556K]2 years ago

4 0

Looks like a pretty regular system, no parallel lines. In fact the second equation is a vertical line as written; not sure if that's a typo. Either way,

Answer: EXACTLY ONE SOLUTION

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Henry and reiko both used 1 yard of ribbon to make bows. write two different fractions to show that Henry and reiko use the same

Natalka [10]

To show that they used the same amount of ribbon you could take the 1 yard and divided into different sized equal groups.

1 yard divided by four equals 1/4 yard for each of four ribbons.

1 yard divided by six equals 1/6 yard for each of six ribbons.

You could have ribbons the size of 1/4 our yard and 1/6 yard, but you would have different amounts of each.

4 0

2 years ago

Find the values of a and b.<br> a<br> The diagram is not drawn to scale.<br> a =<br> U<br> b =<br> U

nata0808 [166]

Answer:

a = 36°

b = 144°

Step-by-step explanation:

<h3><u>Method 1</u></h3>

Number of sides = n = 10

Sum of interior angles = (n - 2) × 180°

= (10 - 2) × 180°

= 8 × 180°

= 1440°

Interior angle = b = sum of interior angles ÷ number of sides

b = 1440 ÷ 10

b = 144°

a + b = 180° (Sum of angles in the straight line)

a + 144° = 180°

a + 144° - 144° = 180° - 144°

a = 36°

<h3><u>Method 2</u></h3>

Number of sides = 10

Exterior angle = a = 360° ÷ Number of sides

a = 360° ÷ 10

a = 36°

a + b = 180° (Sum of angles in the straight line)

36° + b = 180°

36° + b - 36° = 180° - 36°

b = 144°

7 0

1 year ago

Find the rectangular coordinates of the point with the polar coordinates (3, 3 divided by 2 pi ). (1 point)

kifflom [539]

Answer:

The correct choice is (0,-3)

Step-by-step explanation:

To convert from polar coordinates to rectangular coordinates, we use the parametric equations:

$x=r\cos \theta$ and $y=r\sin \theta$

The point given to us in polar coordinates is $(3,\frac{3}{2}\pi)$ .

where $r=3,\theta=\frac{3\pi}{2}$

$x=3\cos (\frac{3\pi}{2})$ and $y=3\sin( \frac{3\pi}{2})$

$x=3(0)$ and $y=3(-1)$

$x=0$ and $y=-3$

The correct choice is (0,-3)

5 0

2 years ago

Chip and dale are driving in a toy engine around the Christmas tree at a speed of 300 miles/hour. how many minutes will it take

Deffense [45]

Using proportions, it is found that it will take them 0.00248548 minutes to do one loop.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, according to their speed, in 60 minutes, they drive 300 miles. In how many minutes will they drive 20 m = 0,0124274 miles?

The <em>rule of three</em> is:

60 min - 300 miles

x min - 0.0124274 miles

Applying cross multiplication:

$300x = 60 \times 0.0124274$

$x = \frac{60 \times 0.0124274}{300}$

$x = 0.00248548$

It will take them 0.00248548 minutes to do one loop.

More can be learned about proportions at brainly.com/question/24372153

7 0

1 year ago

Can you factorise<br> X=3a-2x10-2a

tamaranim1 [39]

x = 3a - 2·10 - 2a

x = 3a - 2a - 20

x = a - 20

6 0

2 years ago