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aleksley [76]
3 years ago
9

Find the gradient of the line that passes through the points (5, 1) and (2, -5)

Mathematics
2 answers:
dsp733 years ago
8 0
Change y / change x = gradient
-5 - 1 = -6 2-5 = -3

-6/-3 = 2 so

gradient = 2
Temka [501]3 years ago
3 0

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Suppose :

a = ( 5 , 1 ) and b = ( 2 , - 5 )

______________________________________

We have following equation to find the slope of the line using two points :

slope =  \frac{y(b) - y(a)}{x(b) - x(a)}  \\

Now just need to put the coordinates in the above equation ;

slope =  \frac{ - 5 - 1}{2 - 5}  \\

slope =  \frac{ - 6}{ - 3}  \\

Negatives simpliflies

slope =  \frac{6}{3}  \\

slope =  \frac{3 \times 2}{3}  \\

slope =  \frac{2}{1}  \\

slope = 2

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

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tekilochka [14]
First bring like terms together before simplifying

6 0
3 years ago
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Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian
777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\B=30^o

Applying the law of sines

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(A)}=\frac{2}{sin(30^o)}

sin(A)=1

so

A=90^o

Find the measure of angle C

In a right triangle

we know that

B+C=90^o ----> by complementary angles

B=30^o

therefore

C=60^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

substitute the given values

\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}

c=2\sqrt{3}\ units

therefore

The dimensions of the triangle are

A=90^o

B=30^o

C=60^o

a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units

<em>Second case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\A=30^o

Applying the law of sines

Find the measure of angle B

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(30^o)}=\frac{2}{sin(B)}

sin(B)=0.25

so

using a calculator

B=14.48^o

Find the measure of angle C

we know that

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

so

A+B+C=180^o

A=30^o\\B=14.48^o

therefore

30^o+14.48^o+C=180^o

C=135.52^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}

c=5.61\ units

therefore

The dimensions of the triangle are

A=30^o

B=14.48^o

C=135.52^o

a=4\ units\\b=2\ units\\c=5.61\ units

see the attached figure to better understand the problem

4 0
3 years ago
SO basically uhh I suck at math
postnew [5]
Ok so you plug them in. -5 squared is 25 minus 27
6 0
3 years ago
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What is α, the probability of a Type I error if the null hypothesis, H0, is: Carmin believes that her chemistry exam will only c
baherus [9]

Answer:

The probability of falling into a type I error, when testing a hypothesis test, consists of:

Probability of rejecting the null hypothesis when, in reality, this hypothesis is true.

Probability of rejecting the null hypothesis when, in reality, this hypothesis is true, is:

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That is, alpha is the probability that Carmin decides to study additional chapters, unnecessarily.

Step-by-step explanation:

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3 years ago
If two lines are perpendicular describe the relationship between their slopes
Aloiza [94]
Perpendicular lines have slopes that are negative reciprocals. example: line a has a slope of 2/3, line b has a slope if -3/2 if they are perpendicular.
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