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3 years ago

Can you help me solve. My teacher got those answers but I don’t know how.

Mathematics

1 answer:

valina [46]3 years ago

3 0

Answer:

Your teacher is correct.

Step-by-step explanation:

Common knowledge about coordinates:

The first number in a coordinate is the "x coordinate".

The second number is the "Y coordinate".

The X axis is the horizontal line.

The Y axis is the vertical line.

The origin is the middle of the two axis's.

For A, the x coordinate is -4. You go right on the horizontal line because it is a negative number. The y coordinate is 4, so you go up from -4 to 4 because it is a positive number. there, you'll get your coordinate (-4 , 4).

For B, because the x coordinate is 0, you don't move at all, and you stay on the x origin. The y coordinate is 6, so you go up from the origin to 6. There, you'll have (0, 6).

C is pretty self explanatory if you understand the concept.

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Find the value of the combination.<br><br> 21 C 3<br><br> 7,980<br> 2,660<br> 1,330

erik [133]

To evaluate the combination we proceed as follows:
21C3
Given nCk we shall have:
n!/[(n-k)!k!]
thus plugging the values in the expression we get:
21!/[(21-3)!3!]
=21!/(18!×3!)
=1330
Answer: 1330

4 0

3 years ago

One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"

iVinArrow [24]

Answer:

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

$x+y+z=180^o$ -----> equation A

One angle of a triangle measures 10 degrees more than the second

$x=y+10$ ----> equation B

The measure of the third angle is twice the sum of the first two angles

$z=2(x+y)$ ---> equation C

substitute equation B in equation C

$z=2(y+10+y)$

$z=4y+20$ ----> equation D

substitute equation D and equation B in equation A

$(y+10)+y+(4y+20)=180^o$

solve for y

$6y=180-30\\6y=150\\y=25^o$

Find the value of x

$x=25+10=35^o$

Find the value of z

$z=4(25)+20=120^o$

therefore

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

5 0

4 years ago

C is the point on the line y = 2x + 1 where x = 2<br> Find the co-ordinates of the mid-point of BC.

inysia [295]

Based on the calculations, the coordinates of the mid-point of BC are (1, 4).

<h3>How to determine coordinates of the mid-point of BC?</h3>

First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:

At the origin x₁ = 0, we have:

y = 2x + 1

y₁ = 2(0) + 1

y₁ = 2 + 1

y₁ = 3.

When x₂ = 2, we have:

y = 2x + 1

y₂ = 2(2) + 1

y₂ = 4 + 1

y₂ = 5.

In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

Midpoint = (x₁ + x₂)/2

Midpoint = (0 + 2)/2

Midpoint = 2/2

Midpoint = 1.

Midpoint on y-coordinate is given by:

Midpoint = (y₁ + y₂)/2

Midpoint = (3 + 5)/2

Midpoint = 8/2

Midpoint = 4.

Therefore, the coordinates of the mid-point of BC are (1, 4).

Read more on midpoint here: brainly.com/question/4078053