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3 years ago

Hey, can anyone help me with this?

Mathematics

1 answer:

muminat3 years ago

4 0

3. y=2+2x or f(x)=2x+2
4. y=5x or f(x)=5x

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What is the equation of the line that passes<br> through the points (3,-1) and (7, 3)?

exis [7]

Answer: y = 1x + -4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1 /x2-x1

m = 3--1 /7-3

m = 4/4

m = 1

Now putting value of m in equation (i)

y = 1x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (3,-1) for calculating y-intercept:

y = mx + b

-1 = 1(3) + b

-1 = 3 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1x + -4

4 0

2 years ago

Please help properties of exponents

defon

Answer:

Step-by-step explanation:

3. $c^{11}$ add exponents

4. $m^{60}$ multiply exponents

5. $x^{6} y^{18}$ distribute and multiply exponents

6. $-21 a^{47} *b$ multiply and then add exponents

7. $100 a^{14} b^{4} c^{12}$ distribute and multiply exponents

8. $n^{22}$ multiply and then add exponents

3 0

3 years ago

Geometry question help me

bekas [8.4K]

Answer:

225

Explanation:

∠ADC is a right angle [definition of altitude]. ∠ADC = 4x - 10, and since all right angles are 90° >> 4x - 10=90 >> 4x -10+10= 90+10 >> 4x=100 >> 4x/4=100/4 >> x=25.

BD+DC=BC [Between-ness of points] >> 4x + 5x -3=BC >> we know that x=25, so by substitute property >> 4*25+5*25 -3=BC >> 100+125 -3=BC >> 222=BC

7 0

4 years ago

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. (−2,−7) and

densk [106]

Hey there!

First, find the slope of the actual original pair of points.
The slope formula is:

$m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$

So now, substitute the points in, whichever order you substitute the points into the equation doesn't matter, as long as the ones substituted in with the same subscript number.

$m = \frac{ -7 - 4 }{ -2 - 8 }$ \

Once you subtract, you get:

$m = \frac{-11 }{ -10 }$

So the slope is 11/10.

A line that is parallel to another has the exact same slope that that another line has.

So therefore the line that is parallel has a slope of 11/10.

Perpendicular is another story. You take the reciprocal of the slope of the other line, and then change the sign before it: ex: negative would become positive.

So therefore the line that is perpendicular has a slope of -10/11.

8 0

3 years ago

What is the square root of 3/4

UNO [17]

(sqrt) of (3/4)=0.75=0.866

0.866 is your answer

8 0

3 years ago