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3 years ago

Does the point (3 , 4) lie on the liney = 2x -1?

Mathematics

1 answer:

belka [17]3 years ago

5 0

Answer:

Step-by-step explanation:

y = 2x -1

Substitute the point into the equation

4 = 2(3) -1

4 = 6-1

4 =5

This is not a true statement so the point is not on the line

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Given: ∠A and ∠B are complementary angles.

Eddi Din [679]

Answer:

- For the statement $-3x=24$ , the reason is: Subtraction property of Equality

- For the statement $x=-8$ , the reason is: Division property of Equality.

- For the statement $m\angle B=-6(-8)-39$ , the reason is: Substitution property of Equality.

Step-by-step explanation:

The missing pictures are attached.

We must remember that:

- The Subtraction property of Equality states that:

$If\ a=b,\ then\ a+c=b+c$

- The Division property of Equality states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

- The Substitution property of Equality states that:

$If\ a=b,\ then\ b\ can\ replace\ a$

Knowing this properties we can identify the missing reasons that correctly complete the proof.

- For the statement $-3x=24$ , the reason is:

Subtraction property of Equality

(Because it is obtained by subtracting 66 from both sides of $-3x+66=90$ )

- For the statement $x=-8$ , the reason is:

Division property of Equality

(Because it is obtained by dividing both sides of $-3x=24$ by -3)

- For the statement $m\angle B=-6(-8)-39$ , the reason is:

Substitution property of Equality

(Because it is obtained by substituting the value of "x" into $m\angle B=-6x-39$ )

7 0

4 years ago

I don’t get it if explain plz

castortr0y [4]

Add the two equations:

2x + 4y = 16

-2x - 3y = -6

2x + -2x = 0

4y -3y = y

16-6 = 10

When you add the equations you get y = 10

Now you have a value for y, use the first equation to solve for x:

2x + 4(10) = 16

2x + 40 = 16

Subtract 40 from both sides:

2x = -24

Divide both sides by 2

X = -12

Answer: x = -12 and y = 10

7 0

3 years ago

Read 2 more answers

Beatrice calculated the slope between two pairs of points.

kumpel [21]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between (-3, -2) and (1, 0)

$m=\frac{0+2}{1+3}$

$m=\frac{2}{4}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (1,0)

substitute

$y-0=\frac{1}{2}(x-1)$

$y=\frac{1}{2}x-\frac{1}{2}$

step 2

Find the slope between (-2, -1) and (4, 2)

$m=\frac{2+1}{4+2}$

$m=\frac{3}{6}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (4,2)

substitute

$y-2=\frac{1}{2}(x-4)$

$y=\frac{1}{2}x-2+2$

$y=\frac{1}{2}x$

Compare the equation of the two lines

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to $\frac{1}{2}$

8 0

4 years ago

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Find the area of this parallelogram. 1 Height=9 cm Side=12 cm Base=21 cm

Travka [436]

Answer:

189sq.cm

Step-by-step explanation:

Area of a parallelogram = b×h

= 21× 9

= 189 cm^2

8 0

3 years ago

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Is 32,575,710 divisible by 6? HELPP MEE PLZZ!!

Yuliya22 [10]

It is.

To be divisible by 6, it has to be divisible by 2 and 3.

It's an even number so divisible by 2.

The sum of the digits is divisible by 3 so number is divisible by 3.

8 0

2 years ago

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Does the point (3 , 4) lie on the liney = 2x -1?​

Does the point (3 , 4) lie on the liney = 2x -1?