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Ket [755]
3 years ago
11

What is the slope of a line that passes through (-3,5) and (4,3)?

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

to find a slope you subtract the y value of the 2nd point from the y value of the 1st point then you devide that by the difference of the x value of the 2nd point subtracted from the x value of the 1st point. so 5-3 devided by -3-4, 5-3=2, -3-4=-7. so m = 2/-7 is your slope. the slope is usually represented with the letter m.

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Determine if the triangles, ΔYPQ and ΔNPD, are similar. If so, identify the similarity criterion.
pav-90 [236]

Answer:

The answer to your question is A) they are similar because of AA criterion

Step-by-step explanation:

- ∠ QYP is ≅ to ∠ DNP           given

- ∠ QPN is ≅ to ∠ DPN           vertical angles

- ∠ YQP is ≅ to ∠ NDP            if two angles are congruent third angle

                                                is also congruent.

Conclusion

ΔYPQ is similar to ΔNPD because of AA similarity.

6 0
3 years ago
Prove that the product of any two consecutive natural numbers is even.
Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

Product=n(n+1)\\\\

We know that the sum of 'n' consecutive natural numbers starting from 1 is

S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)

Thus from equation 'i' we can write

Product=2\times S_n

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

6 0
3 years ago
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used m
ANTONII [103]
< 1 and < 2 are vertical angles...because they are opposite angles made by two intersecting lines
< 3 and < 4 are adjacent....because they have a common side and a common vertex
6 0
3 years ago
Read 2 more answers
Please answer quickly I will give brainliest- Kelsey has a list of possible functions. Pick one of the g(x) functions below and
Marizza181 [45]

Answer:

1. Behavior

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. y-intercept= -18

3. The zeros are: -3, -2 and 3

Step-by-step explanation:

1. End behavior:

To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.  

(x + 3) = x positive, coefficient 1

(x + 2) = x positive, coefficient 1

(x − 3)=  x positive, coefficient 1

The coefficient is 1*1*1= 1 = positive

There are 3 x, so it will be x^3= odd

The behavior for odd and positive will be:

g(x) is + ∞ when x=>+∞

g(x) is -∞ when x=>-∞

or

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. Y-intercept

The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:

y-intercept = g(0)= (0+3)(0+2)(0-3)

y-intercept = 3*2*-3

y-intercept= -18

3. Zeros

The zeros mean the value of x that will result as g(x) as zero. At this coordinate, the graph will touch the x-axis since g(0) is located on the x-axis. That is why this coordinate also called an x-intercept. The function is expressed as the product of three things. If any of them is 0, then the result will be 0. So we have 3 zeros

x_{1}+3=0

x_{1}=-3

x_{2} +2=0

x_{2}=-2

x_{3}-3=0

x_{3}=3

The zeros are: -3, -2 and 3

8 0
3 years ago
Find the difference (20m+3)-(7m-5)
xz_007 [3.2K]

Answer:

Simplifying

(20m + 3) + -1(7m + -5) = 0

Reorder the terms:

(3 + 20m) + -1(7m + -5) = 0

Remove parenthesis around (3 + 20m)

3 + 20m + -1(7m + -5) = 0

Reorder the terms:

3 + 20m + -1(-5 + 7m) = 0

3 + 20m + (-5 * -1 + 7m * -1) = 0

3 + 20m + (5 + -7m) = 0

Reorder the terms:

3 + 5 + 20m + -7m = 0

Combine like terms: 3 + 5 = 8

8 + 20m + -7m = 0

Combine like terms: 20m + -7m = 13m

8 + 13m = 0

Solving

8 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 13m = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 13m = 0 + -8

13m = 0 + -8

Combine like terms: 0 + -8 = -8

13m = -8

Divide each side by '13'.

m = -0.6153846154

Simplifying

m = -0.6153846154Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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