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3 years ago

A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

5 0

Answer:

Y=-4x+8

Step-by-step explanation:

y2-y1/x2-x1

This wil give you slope.

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Simplify this expressions 2sin30cos30

Oduvanchick [21]

Square root 3/2
Decimal form: 086602540

7 0

3 years ago

Y=-x^2+2x+10 y=x+2 Substitution Please show your work Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

Find the values of y

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

5 0

3 years ago

A line has this equation: y = -8x + 8,

DIA [1.3K]

Parallel lines have the same slope
Y = -8x + 8
The slope will be -8
Therefore: y = -8x + b
Plug in the point
7 = -8(9) + b
7 = -72 + b, b = 79

Solution: y = -8x + 79

7 0

3 years ago

The legs of an isosceles right triangle are 11 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessa

lukranit [14]

If there is a hypotenuse, the triangle is a right triangle. From the Pythagorean Theorem:

c^2 = a^2 + b^2 [the square of the hypotenuse is the sum of the squares of the other two sides]

c^2 = 11^2 + 11^2 = 121 + 121 = 242

c = sqrt(242) = 15.56 cm (rounded)

5 0

3 years ago

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The greatest common factor of 54 and 72 is:

Verdich [7]

$54|2\\27|3\\.\ 9|3\\.\ 3|3\\.\ 1|\\54=\fbox2\cdot\fbox3\cdot\fbox3\cdot3\\\\72|2\\36|2\\18|2\\.\ 9|3\\.\ 3|3\\.\ 1|\\72=\fbox2\cdot2\cdot2\cdot\fbox3\cdot\fbox3\\\\GCF(54;\ 72)=\fbox2\cdot\fbox3\cdot\fbox3=\boxed{\boxed{18}}$

3 0

4 years ago

Read 2 more answers