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sergiy2304 [10]
3 years ago
15

Find the slope of the following graph a) 1/2 b) 2 c) -2 d) -1/2

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:

c. -2

Step-by-step explanation:

because the linear line goes down we know it is negative

and its not 1/2 because it is rise over run. it runs 1 and rises 2 (or drops 2 because it is negative)

rise over run = -2/1 = -2

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In right triangle ABC, the measure of angle A is 25 degrees, angle c is 90 degrees, and AB = 1. what is the length of AC?
Allisa [31]

Answer:

b= 0.9

Step-by-step explanation:

first you find angle B: 180-90-25=65

then you will do law of sine- sin A/a=sin B/b=sin C/c

sin(90)/1=sin 65/b

sin(90)*b=sin(65)*1

sin(90)*b=0.9

b=0.9/sin(90)

b= 0.9

8 0
3 years ago
State whether the given equation or function is linear. Write yes or no. Explain your reasoning. f(x) = 7x2 + 4
vagabundo [1.1K]

For this case we have the following function:

f (x) = 7x ^ 2 + 4

By definition, we have that a linear equation is of the form y = mx + b

On the other hand, a quadratic equation is of the formy = ax ^ 2 + bx + c

Then, the given equation is not a linear equation, it is not of the form y = mx + b

Answer:

No, the equation is not linear. It is not of the form f (x) = mx + b.

4 0
3 years ago
Read 2 more answers
An 11 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet from the side of the house. How high is
Mariulka [41]
Using Pythagoras Theorem,
(b is the length of the ladder from the ground)
11x11=6x6+(b^2)
121-36=(b^2)
85=(b^2)
b= 9.219544457292887
b is approximately 9.2
5 0
3 years ago
please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me
mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are  equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH=\sqrt{(5-0)^{2}+(1-1)^{2}}=5 and

GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5

Now, mid point of JH=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

=(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)

Mid point of GI=(\frac{5}{2},1)

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

(GI)^{2}=(IJ)^{2}+(JG)^{2}                             (1)

Now, JI=\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20} and GJ=\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}

Substituting these values in (1), we get

5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }

25=20+5

25=25

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5  and HJ=\sqrt{(0-5)^2+(1-1)^2}=5 are equal, thus, GHIJ is a rectangle.

6 0
3 years ago
Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller i
alexandr1967 [171]

Step-by-step explanation: 2+2=4 +4x8=9

4 0
2 years ago
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