MATHEMATICS HIGH SCHOOL

Mixed Review for Finding SlopeCalculate the slope of the line that contains the following points. Leave answers as fractions - BUT reduce
your fractions as much as possible!!!!!!! SHOW ALL WORK!!!
1) (4,5) and (-4,3)
2) (-2,-4) and (6,7)
3) (2, -4) and (10,12) 4) (1/2,2) and (1,2/3) 5) (1/4,5) and (5/4,12)

Answers

Answer 1

Answer:

Answer:

1) slope of the line $m = (1)/(4)$

2) slope of the line $m = (11)/(8)$

3) slope of the line m =2

4) slope of the line $m = (-8)/(3)$

5) slope of the line m =7

Step-by-step explanation:

Given points are (4,5) and (-4,3)

slope of the line Formula

$m = (y_(2) - y_(1) )/(x_(2)-x_(1) )$

$m = (3 - 5 )/(-4-4 ) = (-2)/(-8) = (1)/(4)$

$m = (1)/(4)$

Given points are (-2,-4) and (6,7)

slope of the line Formula

$m = (y_(2) - y_(1) )/(x_(2)-x_(1) )$

$m = (7 - (-4) )/(6-(-2) ) = (11)/(8)$

$m = (11)/(8)$

Given points are (2, -4) and (10,12)

slope of the line Formula

$m = (y_(2) - y_(1) )/(x_(2)-x_(1) )$

$m = (12 - (-4) )/(10-(2) ) = (16)/(8) =2$

$m = 2$

4) Given points are

(1/2,2) and (1, 2/3)

slope of the line Formula

$m = (y_(2) - y_(1) )/(x_(2)-x_(1) )$

$m = ((2)/(3) - (2) )/(1-((1)/(2) ) ) = ((-4)/(3) )/((1)/(2) )$

$m = (-8)/(3)$

Given points are

(1/4,5) and (5/4 , 12)

slope of the line Formula

$m = (y_(2) - y_(1) )/(x_(2)-x_(1) )$

$m = (12-5)/((5)/(4) -(1)/(4) ) = (7)/((4)/(4) ) = 7$

$m = 7$

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I need help with these could you guys help me?

Please help me solve for x:

t=pd/2x

Answers

Answer: $x=(pd)/(2t)$

Step-by-step explanation:

The given expression : $t=(pd)/(2x)$

To solve the above expression, we first multiply x on both the sides , we get

$t* x=(pd)/(2x)*x\n\n\Rightarrpw\ tx=(pd)/(2)$

Now, we divide t on both the sides , we get

$x=(pd)/(2t)$

Hence, the expression for x will be : $x=(pd)/(2t)$

t = pd/2x
multiply 2x from both sides
2xt = pd
divide 2t from both sides to isolate x
x = pd/2t

Suppose 5% of the population have a certain disease. A laboratory blood test gives a positive reading for 95% of people who have the disease. What is the probability of testing positive and having the disease?

Answers

Answer:

The probability of testing positive and having the disease is 4.75%.

Step-by-step explanation:

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds.

Answers

$d=160-25t$

Step-by-step explanation:

Let $d$ be the distance between Kayden and safe zone at any time.

It is given that initially $d=160$

Lrt her speed be $v$

Since the speed is constant,the distance covered by her in $t$ seconds= $v* t$

So,the distance between her and safe zone after $t$ seconds is $160-vt$

It is given that after $3$ seconds, $d=85$

So, $160-3v=85$

$3v=75$

$v=25$

So, $d=160-3t$

Answer:

y=-25x+160

Step-by-step explanation:

Fill in the Blanks 535 tons = ____ Gg.

Answers

Answer: 535 tons is 0.535 Gigagram. 1 tone is 1 million grams. And prefix “giga-” means 1 billion.

Multiply: (3x – 5)(–x + 4)Applying the distributive property, the expression becomes (3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4).

What is the simplified product in standard form?

x2 + x +

Answers

Answer:

$-3x^2+17x-20$

Step-by-step explanation:

We have been given an expression $(3x-5)(-x+4)$ . We are asked to find the simplified product of the given expression in standard form.

Using distributive property $a(b+c)=ab+ac$ , we will get:

$(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)$

$-3x^2+12x+5x-20$

Combine like terms:

$-3x^2+17x-20$

Therefore, the product of our given expression would be $-3x^2+17x-20$ .

Answer:

-3x^2+17x-20

Step-by-step explanation:

-3x^2+12x+5x-20

=-3x^2+17x-20

An appliance store sells lamps at $95.00 for two. A department store sells a similar lamp at five for $250.00 What is the cost for 1 lamp at the appliance store?

Answers

Answer:

47.5 per 1 lamp

Step-by-step explanation:

First, we can ignore the info about the department store because it is useless. Now, for the appliance store, we now that it sells lamps for 95 dollars per 2 lamps. 2 lamps equal 95, and it is asking how much does 1 cost. We can simply divide. So, 95/2= 47.5 dollars

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