4.2.4 practice: Modeling: Slope intercept equation of a line

answer is C. 252 ft^2

split the figure into two pieces and first figure out the rectangle (shown in turquoise).

If you multiply the width and length (18*6) you should get 108.

Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.

hypotenuse= 9²

so the distance between the 2 points is 81

4²+5²=c²

factor out the square which gives (4+5)²=c²

which makes c=9

answer=81

Hello,

Let's say y= log(x) in base 10.

[tex]\\y=log(x)\\\\log^2(x)-3log(x)-4=0\\\\y^2-3y-4=0\\\\\Delta=9+16=5^2\\\\y=4\ or\ y=-1\\\\log(x)=4 \Longrightarrow x=10^4\\\\or\\\\log(x)=-1 \Longrightarrow x=10^{-1}=0.1\\[/tex]

Answer: [tex]75\ m[/tex]

Step-by-step explanation:

Given

The tower is 45 m high and Clinometer is set at 1.3 m above the ground

From the figure, we can write

[tex]\Rightarrow \tan 32^{\circ}=\dfrac{43.7}{x}\\\\\Rightarrow x=\dfrac{43.7}{\tan 32^{\circ}}\\\\\Rightarrow x=69.93\ m[/tex]

Similarly, for [tex]\triangle ACD[/tex]

[tex]\Rightarrow \tan 47^{\circ}=\dfrac{43.7+y}{x}\\\\\Rightarrow 69.93\times \tan 47^{\circ}=43.7+y\\\\\Rightarrow 74.99=43.7+y\\\Rightarrow y=31.29\ m[/tex]

Height of the tower is [tex]43.7+31.29\approx 75\ m[/tex]

Step-by-step explanation:

triangle BCA=BAL bcoz Angle BCA= Angle BAL

Answer:

2 StartRoot 5 EndRoot + 2 StartRoot 17 EndRoot units

Step-by-step explanation:

The perimeter of the parallelogram is expressed as

Perimeter = WX + XY + YZ + WZ

Using the distance formula;

WX = √(0-(-1))²+(4-0)²

WX = √1²+4²

WX = √17

For XY:

XY = √(-2-(0))²+(3-4)²

XY = √(-2)²+(-1)²

XY = √4+1

XY = √5

For YZ:

YZ = √(-2+3))²+(3+1)²

YZ = √(1)²+(4)²

YZ = √1+16

YZ = √17

For WZ;

WZ = √(-3+1)²+(-1-0)²

WZ = √(-2)²+(-1)²

WZ = √4+1

WZ = √5

Perimeter = √17+√5+√17+√5

Perimeter = 2√17 + 2√5 units

Answer:

B

Step-by-step explanation:

Answer:

f(k + 4) = -2k² - 13k - 28

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -2x² + 3x - 8

Step 2: Evaluate

Answer:

its b b b

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2y³ +  4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²

                                             = -2y³ + 2y³  +5y² + y   + 4 + 3 {combine like terms}

                                             =  5y² +y + 7

1. How to find f(4)?

2. Substitution and Evaluate

[tex] \large{f(4) = - {(4)}^{2} - 6(4) + 12} [/tex]

Follow BODMAS/PEMDAS rules as well! Exponent first.

[tex] \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}[/tex]

3. Final Answer

Step-by-step explanation:

I solved it in the diagram

a) y=4.9x

b)y=63.7

c)x=13

Answer:

B, (-4,0)

Step-by-step explanation:

2(4x - 2y = -16)       8x - 4y = -32

   8x - 4y = -32

+  -3x + 4y = 12

  5x  = -20

x = -4

4(-4) - 2y = -16

-16 - 2y = -16

-2y = 0

y = 0

To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer: 1st one and last one

Step-by-step explanation:

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

Answer:

Value of expression = -3 / 4

Step-by-step explanation:

Given:

(12x + 8) + 4 = 3

Find:

Value of expression

Computation:

Given expression

(12x + 8) + 4 = 3

Step 1: Use Distributive property

12x + 8 + 4 = 3.

Step 2: By adding like terms.

12x + 12 = 3

Step 3: Transfer

12x = 3 - 12

Step 4: Subtract

12x = -9

Step 4: Divide both sides by 12

12x / 12 = -9 / 12

x = -3 / 4

Value of expression = -3 / 4

[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]

Answer:

$ 20d

Step-by-step explanation:

Since each Apple costs d dollars , therefore 20 will cost , $ 20d .

The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.

To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.

Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.

Let's analyze each option:

A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.

B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.

D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.

To learn more about equation/expression click on,

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Complete question is:

If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?

A. 20a/d

B. 20d/a

C. a/20d

D. 20/ad

Answer:

5 / 648

Step-by-step explanation:

Given tbe sample space for a pair of dice attached below :

Sample space for a pair of dice = 6² = 36

Rolling a 3 first :

Recall, probability = required outcome / Total possible outcomes

P(rolling a 3). = 2 / 36 = 1 /18

Probability of rolling a 6 (second roll)

P(rolling a 6) = 5 / 36

Hence,

P(3) then P(6) ;

1 / 18 * 5/36 = 5 / 648

Answer:

hi.

Step-by-step explanation:

download photo math

The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.

The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.

Using the law of sines, we can write the following equation:

sin(77) = (50 / d) * sin(180 - 77)

where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.

Solving for d, we get:

d = 50 * sin(77) / sin(103)

≈ 21.66 inches

Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

To learn more about point here:

https://brainly.com/question/32083389

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Answer:

$12.43

Step-by-step explanation:

Given :

Mean = $8.52

Standard deviation, = $2.38

Stock price which falls beyond 0.05 of the distribution is at the 95th percentile

The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)

We obtain the value of x, with z = 1.645

Using the Zscore relation :

Zscore = (score - mean) / standard deviation

1.645 = (score - 8.52) / 2.38

Cross multiply :

1.645 * 2.38 = score - 8.52

3.9151 = score - 8.52

Score = 8.52 + 3.9151

Score = $12.4351

Stock price beyond 0.05 is $12.43

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Answer:

(k)kg+(l)kg=kg

Step-by-step explanation:

I just looked at letters. it's definitely wrong but I typed something so I could get points and get my answers. idc tbh but good luck ig

Answer:

So, Tim spent maximum $ 18 dollars on other things

Step-by-step explanation:

Total spent per day is less than $ 30.

Money spent on food= $ 12

So, the maximum amount amount spent on the things is

= $ 30 - $ 12 = $ 18

So, Tim spent maximum $ 18 dollars on other things.

Answer:

hope it will be helpful to you

Answer:

..have a great day ahahahahah

Answer:

no

Step-by-step explanation:

12 squared plus 5 squared=169

Answer:

2968

Step-by-step explanation:

Answer:

ayan po answer nasa picture

Answer:

3

Step-by-step explanation:

9½=√9=3

ie. a number to the power of ½ is the same as the square root of the number

Answer:

C. -5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from table

Point (-1, 6)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m