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Deffense [45]
3 years ago
10

Write the ratio in lowest terms in order to decide whether the proportion is true or false.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0
False.

2/3 does not equal 5/6

10/5 is 2

15/5 is 3

that's how I simplified the left

the right is already in lowest form
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Please urgently please❤️ Please help
irinina [24]

Answer:

6. E

7. D

8. 5,-8,34

Step-by-step explanation:

A. Parallel to the y-axis and passes through the point (3,5)

For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.

So what this means is that x = 3 is our line so E is correct

B. Perpendicular to the y-axis means it is parallel to the x-axis

It means is has no x intercept and thus its x value at any point in time is zero

So the equation is y = -5

or simply y + 5 = 0 which means D is correct

C. It is parallel to the line 5x -8y + 12 = 0

Thus: 8y = 5x + 12

dividing both sides by 8

y = 5x/8 + 12/8

y = 5x/8 + 3/2

y = 5x/8 + 1.5

Comparing this with the general equation of a straight line ;

y = mx + c

where m is that slope, this means that 5/8 is the slope of the line

Mathematically if two lines are parallel, they have equal slopes.

So we can say the slope of the other line too is 5/8

Now to find the equation of the other line, we can use the point-slope method

y-y1 = m(x-x1)

where (x1,y1) in this case is (-2,3)

So we have;

y-3 = m(x-(-2))

y-3 = 5/8 (x + 2)

8(y-3) = 5(x + 2)

8y -24 = 5x + 10

5x + 10 + 24 -8y = 0

5x -8y + 34 = 0

So A, B, C = 5, -8, 34

4 0
3 years ago
a school has 415 third grade and 338 second graders how many more third graders are there than second graders?
Alika [10]

Answer:

There are 77 more third graders than there are second graders.

Step-by-step explanation:

You just have to subtract 338 from 415 to get your answer.

6 0
3 years ago
Read 2 more answers
How could you correctly rewrite the equation 6(11 – 3) = 4(7 455) using the distributive property?
Sergeeva-Olga [200]

Answer:

B. 66-18=28+20

Step-by-step explanation:

4 0
3 years ago
Which polynomial expression are in standard form
postnew [5]

First and third, second can still be simplified.

7 0
3 years ago
Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°) and z2 = 6(cos 145° + i sin 145°).
Oduvanchick [21]
For two complex numbers z_1=re^{i\theta}=r(\cos\theta+i\sin\theta) and z_2=se^{i\varphi}=s(\cos\varphi+i\sin\varphi), the product is

z_1z_2=rse^{i(\theta+\varphi)}=rs(\cos(\theta+\varphi)+i\sin(\theta+\varphi))

That is, you multiply the moduli and add the arguments. You have z_1=7e^{i40^\circ} and z_2=6e^{i145^\circ}, so the product is

z_1z_2=7\times6(\cos(40^\circ+145^\circ)+i\sin(40^\circ+145^\circ)=42(\cos185^\circ+i\sin185^\circ)=42e^{i185^\circ}
3 0
3 years ago
Read 2 more answers
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