Ask question

Ask question

All categories

4 years ago

10

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y =

–8 and passes through the point (3, –2). Alejandro made his first error in which step?

2 answers:

madam [21]4 years ago

8 0

Answer:

step 2

Step-by-step explanation:

that is the answer is on edu2020

Yakvenalex [24]4 years ago

7 0

We can determine the equation of the perpendicular line by finding its slope and using the given point by replacing in the standard equation.

Standard equation: y-y1 = m(x-x1)

m*m'=-1
where m' = the slope of the perpendicular line
m = the other line

m = -coeficient of x/ coeficient of y = -4/-3 = 4/3
m' -3/4

Replacing the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9

The equation of the perpendicular line is: 3x+4y-1=0

You might be interested in

Is this right? Please help asap

Nadusha1986 [10]

Answer:

yes

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

While eating dinner marian are 25% of the apples slices she had in her bag she ate 5 apple slices in her bag how many apple slic

Studentka2010 [4]

$\text{Hello there!}\\\\\text{We know that 25\% = 5 apples}\\\\\text{We need to multiply by 4 to get to 100\%}\\\\\text{This means we also have to multiply 5 by 4 in order to get the original}\\\text{amount of apples}\\\\5\cdot4=20\\\\\boxed{\text{Marian originally had 20 apples}}$

5 0

3 years ago

a man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is 64 degrees. He the

mamaluj [8]

So hmm notice the picture below

thus $\bf \cfrac{y}{tan(64^o)}=\cfrac{y}{tan(46^o)}-100\implies 
\cfrac{y}{tan(64^o)}-\cfrac{y}{tan(46^o)}=-100
\\\\\\
y\left[ \cfrac{1}{tan(64^o)}-\cfrac{1}{tan(46^o)} \right]=-100\implies y=\cfrac{-100}{\frac{1}{tan(64^o)}-\frac{1}{tan(46^o)}}$

make sure your calculator is in Degree mode, since the angles are in degrees

8 0

3 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

iragen [17]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=18/2=9\ ft$ ----> the radius is half the diameter

Remember that

$1\ ft=12\ in$

so

$6\ in=6/12=0.5\ ft$

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

$h=4.5-0.5=4\ ft$

assume

$\pi =3.14$

Find the volume of the water

$V=(3.14)(9^{2})(4)$

$V=1,017\ ft^3$

5 0

3 years ago

The width of a rectangle is 1/4 its length. The perimeter of the rectangle is 375 ft. What is the length, in feet, of the rectan

Leni [432]

Answer:

<h3><u>Required</u><u> </u><u>Answer</u><u>:</u><u>-</u></h3>

Let

$\sf length=x$

$\sf Breadth={\dfrac {x}{4}}$

As we know that in a rectangle

${\boxed{\sf Perimeter=2 (l+b)}}$

Substitute the values

${:}\longrightarrow\sf 2 \left (x+{\dfrac {x}{4}}\right)=375$

${:}\longrightarrow\sf 2 \left({\dfrac {4x+x}{4}}\right)=375$

${:}\longrightarrow\sf 2 \left({\dfrac {5x}{4}}\right)=375$

${:}\longrightarrow\sf {\dfrac {10x}{4}}=375$

${:}\longrightarrow\sf 10x=4×375$

${:}\longrightarrow\sf 10x=1500$

${:}\longrightarrow\sf x={\dfrac {1500}{10}}$

${:}\longrightarrow\sf x=150$

$\therefore$ Length =150feet

8 0

3 years ago