Answer:
y = - 4x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{x}{4}[/tex] - 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find c, substitute (4, - 1 ) into the partial equation
- 1 = - 16 + c ⇒ c = - 1 + 16 = 15
y = - 4x + 15 ← equation of perpendicular line
Answer:
y = - 4x + 15
Step-by-step explanation:
For what value of x is the rational expression below equal to zero? x_1/(X - 3)(x + 1)
Answer:
A
Step-by-step explanation:
when X = 0 then
1 - 1/ (1 - 3)*(1+1)
0/ -4
0
A normal distribution (X) has a mean of 100 and a standard deviation of 10.
What is the probability that X will be smaller than 80?
Use the Normal Table and keep all 4 decimal positions in your answer.
Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that X will be smaller than 80.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 100[/tex].The standard deviation is of [tex]\sigma = 10[/tex].The probability that X will be smaller than 80 is the p-value of Z when X = 80, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 100}{10}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.0228 = 2.28% probability that X will be smaller than 80.
More can be learned about the normal distribution at https://brainly.com/question/24663213
All chi
18. How is the graph of y = 4(2}X-3 translated from the graph of
y=
= 4(2)X?
3 units up
3 units right
3 units down
3 units left
Answer:
3 units down
Step-by-step explanation: hope this helps
Rewrite this exponential equation in logarithmic form.
2x = 32
Answer:
x=16
Step-by-step explanation:
Hey guys ! Can anyone help me with these problems please and thanks
1)
m = 3√2√2
= 6
n = a
= 3√2
Answer = D) m = 6 , n = 3√2
2)
m = n = a
m = 3
n = 3
Answer = A
Need help solving this linear equation
Answer: (-4, -7)
Step-by-step explanation: To solve this system of equations, we can use the substitution method.
To solve a system by substitution, we first need to isolate one of our variables. The problem is none of our variables has a coefficient of 1 or -1. In this situation, we have to look at our next best option.
In our first equation, add 2x to both sides to get
2y = -6 + 2x and just divide both sides by 2 to get y = -3 + x.
Now let's plug this value of y into our second equation.
So we have 3x + 7(-3 + x) = -61.
Simplifying from here:
3x - 21 + 7x = -61
10x - 21 = -61
10x = -40
x = -4
Since we know that x = -4, we can just plug a -4 into our equation that we created earlier to get y = -3 + (-4) or y = -7.
Since x = -4 and y = -7, our answer is the ordered pair (-4, -7).
Which graph represents y=
y = ?
Answer:
The horizontal line is to the y-axis
What is the slope of the line represented by this equation?
-3x + 8y = 12
Step-by-step explanation:
Turn the equation into a slope-intercept form equation:
[tex]8y=3x+12[/tex]
Divide each side by 8 to simplify y:
[tex]y=\frac{3}{8} x+1.5[/tex]
The slope is 3/8.
Using the format:
[tex]y=mx+b[/tex]
3/8 is in place of m, the slope.
Need help on the last problem please. Thank you
Answer:
sorry but i can not see clearly sorry
Step-by-step explanation:
i am realy realy sorry :( :(
PLEASE HELP ME OUT I NEED THIS BY TODAY THANKS
Answer:
For this, you need to click the second one.
Step-by-step explanation:
Mrs.Vincent had to cut the cake into 55 slices. What percent of the cake did each student get?
Answer:
1.82 %
Step-by-step explanation:
Divide 100% among 55 students
[tex]\frac{100}{55} =1.82[/tex]
Hope this helps
Help me guys pleaseeeeeeeeeee
A tortoise is walking in the desert, it walks 5 minutes at a speed of 12.5 meters per minute . For how many meters does it walk?
Answer:
62.5meteres
Step-by-step explanation:
using the formula speed =distance/time
12.5= ?/5
?= 12.5 × 5
? = 62.5 meters
Which of the following possibilities will NOT form a triangle? Side = 5 ft, side = 15 ft, side = 3 ft Side = 5 ft side = 7 ft, side = 11 ft O Side = 8 ft, side = 6 ft, side = 4 ft O Side = 3 ft, side = 11ft, side = 9ft
Answer:
Side = 5ft Side = 15 ft side = 3 ft
Step-by-step explanation:
What is the value of the missing angle?
Answer:
x=60°
Step-by-step explanation:
The Sum of all sides of a pentagon is 540°
And in the figure there are 2 sides with 150° and 90°
Now we have,
[tex]90+90+150+150+x=540\\\\480+x=540\\\\x=540-480\\\\x=60[/tex]
1) What are the next three terms in these sequences?
a) 126 122 118 114 110
b) -1 3 7 11 15
c) 1 3 9 27
D) 80 20 5 1.25
Answer:
Step-by-step explanation:
a) 126 122 118 114 110, 106, 102, 98
Hint: ( Subtract 4 from each numbers to get the next)
b) -1, 3 , 7, 11 , 15, 19, 23, 27
Hint: ( Add all through by 4)
c) 1, 3, 9, 27, 81, 243, 729
Hint: ( Multiply through by 3)
d) 80, 20 , 5, 1.25, 0.3125, 0.078125, 0.0195
Hint; (Divide all through by 4)
calculate without using a calculator3√27+(-3√64
Answer:
[tex] 9 \sqrt{3 } -12 \sqrt{4} \\ 3 \sqrt{9 \times 3} - 3 \sqrt{16 \times 4 } \\ from \: here \: we \: see \: that \: the \: square \: root \: of \: 9 \: is \: 3 \: and \: square \: root \: of \: 16 \: is \: 4 \: so fnal \: answer \: is \\ 9 \sqrt{3} - 12 \sqrt{4} [/tex]
Step-by-step explanation:
from the question we see root 27 and root 64
so what we do next is we look for two numbers that we can multiply together to give 27 and 64 in which one if the number is a perfect square
for root 27 we use 9 and 3
for root 64 we use 16 and 4
In a recent year, 28% of all college students were enrolled part-time. If 7.2 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million.
Answer:
26 million
Step-by-step explanation:
x = total number in million
28% * x = 7.2
so x = 7.2/0.28 = 25.7 ≈ 26
Dorothy wrapped 2 presents in 4 minutes. At that rate, how many
presents would she wrap in 6 hour’s
Answer:
90
Step-by-step explanation:
2 presents per 4 minutes is 30 presents per hour multiplied by 6 hours is 90 presents
what is the answer to 12+56=76(56+89)=15
Answer:
false
Step-by-step explanation:
steps:
12+56=7
simplify 12+56: 68
12+56
add the numbers: 12+56=68
=68
68=7
the sides are not equal
false
An old road was 3.9 miles long. After a renovation it is 7.8 miles long. How many times as long is the road after the renovation than before?
Answer:
2 times. 3.9x2=7.8
Step-by-step explanation:
3+3=6
0.9+0.9=1.8
6+1.8=7.8
please help ill do anything 12 - 5z; z=2
Answer: the answer is 2
Step-by-step explanation:
1. 5 x 2 = 10
2. 12 -10 = 2
hope this helps!!
Does anyone know if the further maths gcse will be at July or June
Answer:
I think june at the earliest
Answer:
Ya and you have 2 tests i think
Please help and tell me how you solved it
Answer:
63 degrees
Step-by-step explanation:
angle B and angle D are opposite interior angles, and therefore they have the same measurements. IM NOT SURE IF THIS IS THE CORRECT EXPLANATION, I LEARNED THIS A REALLY LONG TIME AGO AND SO I KIND OF FORGOT!!! SORRY
Find the product. Simplify your answer.
(2v+2)(3v–2)
Multiplying Binomials.
I suck at math.
Answer:
See below.
Step-by-step explanation:
(2v+2)(3v-2)
6v²-4v+6v-4
6v²-2v-4
-hope it helps
(Also, I'm great at algebra, so let me know if you need anymore help.)
Step-by-step explanation:
2v (3v-2)+2 (3v-2)
6v^2-4v+6v-4
6v^2+2v-4
You continue your journey of riding ferris wheels and decide to ride the largest ferris wheel in the world: The High Roller in Las Vegas, Nevada! The High Roller is 550 feet tall with a diameter of 520 feet and the platform making the remaining 30 feet. Your friend who really does not like heights waits for you to get off the High Roller while standing 450 feet away from you, horizontally.
Required:
If you are currently 326 feet in the air, what is the angle of depression from you to your friend?
The angle of depression from you to your friend is 54.1°
Trigonometric ratios
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle between me in air and my friend, hence:
tanθ = 326 / 450
θ = 35.9 degrees
The angle of depression = 90 - 35.9 = 54.1°
The angle of depression from you to your friend is 54.1°
Find out more on Trigonometric ratios at: https://brainly.com/question/24349828
find the slope of the line passing through each of the following pairs of points and draw the graph of the line (-1,4) -(1,3)
Answer:
Step-by-step explanation:
(-1,4) (-1,3)
formula y2-y1/x2-x1
=3-4/-1-(-1)
= -1/-2
Answer this please for 15 points
Answer:
18/2 : 9
Step-by-step explanation:
Solve for x in the equation X2-12x+36 = 90.
X=
O x=6+3./10
O x=6+2/7
X= 123.22
O
x= 12+3/10
Answer:
90x8+3
Step-by-step explanation:
X2-12x+36 = 90.
X=
O x=6+3./10
O x=6+2/7
X= 123.22
O
x= 12+3/10
The price of a train ticket from Lexington to Columbus is normally $165.00. However, the train company is
offering a special 85% discount to children under the age of 16. What is the sale price of a ticket from Lexington
to Columbus for someone under the age of 16?
O $140.25
O $305.25
O $24.75
O $34.65