Plug in F(x) to the equation answer and see if it is true or false by plugging it in
What is the equation of the line that is perpendicular to y = -4x +5 and passes
through the point (4, -3)?
A.y=4x-19 B.y=-4+13 C.y=1/4x-4 D.y=-1/4x-2
Answer:
The answer is C, y = 1/4x - 4
Step-by-step explanation:
First, we have to find the slope of the perpendicular line, and to do so you must take the slope of the given line and opposite reciprocate it.
To do so, you first reciprocate the slope by flipping the numerator and denominator which now makes -4 into -1/4.
Then we have to make it the opposite value, like making a negative into a positive or a positive into a negative. In this case you make -1/4 into a positive 1/4.
We now have the slope of the perpendicular line and can make out answer choices A and B. Which now leaves us with C and D.
The line must go through the point (4, -3). To do that we must adjust the y-intercept until it goes though that point.
We get the y-intercept of -4 and the line that has the y-intercept of -4 and the slope of 1/4 is C.
You answer is C, y = 1/4x - 4.
While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 1.5°. After you drive 23 miles closer to the mountain, the angle of elevation is 13°. Approximate the height of the mountain.
Answer:
0.68 miles
Step-by-step explanation:
Let's say that the height of the mountain is h
The distance between the mountain and the car, after moving 23 miles closer to the mountain, will be x (let's pose it as x for now)
tan(1.5°) = opposite/adjacent = h/23 + a
=> h = (23 + a)tan(1.5°) ---- (1)
tan(13°) = h/a
=> h = a(tan(13°)) ---- (2)
Now since h is common among the two equations, we can equate them;
[tex]\left(23+a\right)\tan \left(1.5^{\circ \:}\right)=a\left(\tan \left(13^{\circ \:}\right)\right),\\23\tan \left(1.5^{\circ \:}\right)+\tan \left(1.5^{\circ \:}\right)a=\tan \left(13^{\circ \:}\right)a,\\\\\tan \left(1.5^{\circ \:}\right)a-\tan \left(13^{\circ \:}\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\left(\tan \left(1.5^{\circ \:}\right)-\tan \left(13^{\circ \:}\right)\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\\[/tex]
[tex]a=\frac{23\tan \left(1.5^{\circ \:}\right)}{\tan \left(13^{\circ \:}\right)-\tan \left(1.5^{\circ \:}\right)} = 2.94249...[/tex]
[tex]h = 2.94249tan\left(13^{\circ }\right) = 0.67932\dots[/tex]
The height of the mountain ≈ 0.68 miles
Calculate the volume of the composite figure. *
Answer:
13 m3
Step-by-step explanation:
Solve for h.
6.51−9.32+h=1.02
Enter your answer as a decimal in the box.
Please help! Brainiest
Answer:
x=1
Step-by-step explanation:
x=1 then y=4
Answer:
the answer is to because the other arrow is on the 2
Step-by-step explanation:
2+2=4
Who is truly worthy of Brainliest? Answer this \/\/\/\/
Answer:
Intercepts are the points where a graph touches the axes. The X-intercept is that point on the X-axis, and the Y-intercept that point on the Y-axis. In the graph on the left, the X-intercept is (4,0), and the Y-intercept is (0,2)
When Steven celebrated his first birthday, his grandmother gave him $1. For each birthday after that, she doubled the amount of money that she gave him for the previous birthday. By the time Steven turned nine years old, how much money had his grandmother given him?
Answer:
Step-by-step explanation:
the amount gave on his first birthday=$1
therefore,
1,1*2,1*2*2,1*2*2*2,1*2*2*2*2,1*2*2*2*2*2,1*2*2*2*2*2*2,1*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2*2
therefore ,1,2,4,8,16,32,64,128,256
therefore money given at the age of 9 is $256
Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages a day. If the book was 350 pages, which equation can be used to determine how many days it will take Alyssa to finish her book?
Answer:
(350-25)-5p=0
Step-by-step explanation:
A plumber charges $45 plus $39.75 per hour of service, Miguel's bill was $164.25.
Solve the equation How many hours of service did the plumber charge?
he work at One thousand five hundred fifty hours
In the coordinate plane, point B has coordinates (2,3) and is the midpoint of the line segment AC. The coordinates of points A and C are (p,7) and (−6,−1), respectively. What is the value of p ?
Answer:
The value of p is 10
Step-by-step explanation:
Here, we are told that the midpoint of the segment AC is B. What this means is that, applying the midpoint formula on AC would give the coordinates of B.
Mathematically;
(x,y) = {(x1 + x2)/2, (y1 + y2)/2}
(2,3) = (p -6)/2 , (7-1)/2
equating identities;
(p-6)/2 = 2
p-6 = 2 * 2
p-6 = 4
p = 4 + 6
p = 10
The value of p as described in the question is; 10
Since the point B, with coordinates (2,3) is the midpoint of the line segment AC.
Therefore, the x-coordinate of point B (2) is the midpoint of the x-coordinate of point A and C.
The value of p can then be evaluated as follows;
(p + (-6))/2 = 2By Cross-product; we have;
p - 6 = 4p = 4 + 6p = 10.The value of p is therefore; 10
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first one to answer will be marked brainliest
5/8-5/24
Answer:
0.417
*I rounded
Or fraction form, 5/12
Answer:
5/12
Step-by-step explanation:
or in decimal form its 0.416 with the 6 repeating
I NEED HELP ASAP (Only answer b )
Amani is calculating the slope of the trendline in the scatterplot below. How can she use the trendline to
check the reasonableness of her answer in other words how can she verify that her trendline fits the
data point
Answer:
Step-by-step explanation:
What type of number is -v4
Answer:
-2
Step-by-step explanation:
Y+2=-3(x-2) solve for y
Answer:
y=-3(x-2)-2
y=-3x+6-2
y=-3x+4
can someone helpe me PLEASEEE??????
Slope is 3/7.
Rise / run.
Rises 3 / runs 7.
Line is positive because the line goes up from left to right.
If this helped please mark branliest
O need help I keep getting my the answer wrong I need a remainder and and I can’t get it right
Answer:
7.18
Step-by-step explanation:
The entire answer is 7.17808219, but I rounded it to the nearest hundreth.
Write an expression for the following: "the product of 3 and the sum of a number and 2
|
Answer:
3(2 + x)
Step-by-step explanation:
You have to multiply 3 by the sum of 2 and any number, or x. So if you put the expression of 2 + x in parenthesis, and 3 next to it. You'll get your answer.
In the diagram shown, lines m and n are
crossed by transversal line t. Why are m and
n not parallel?
Answer:
Step-by-step explanation:
If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,
Sum of interior consecutive angles should be 180°.
(Property of the angles formed between parallel lines and a transversal line)
Therefore, 114° + 64° = 180°
178° = 180°
Which is not true.
Therefore, lines 'm' and 'n' are not the parallel lines.
Please help now! Simplify -4x - x.
A. -5x
B. -4x
C. -3x
Answer:
the answer is -5x
Step-by-step explanation:
plz give me 5star
simplify the following polynomial expression. [tex](5x^{3} +4x^{2} +6x-3)+(-2x^{3} +3x^{2} -7x+9)-(5x+3)(4x^{2} +x-1)[/tex]
Answer:
-17x^3-10x^2+x+9
At 5:00 pm Antonio turned off the oven
Answer:
Or did he?
Step-by-step explanation:
Find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude (one city is due north of the other). (Round answer to one decimal place.)
City Latitude
San Francisco, California 37° 47' 36" N
Seattle, Washington 47° 37' 18" N
_____Miles
The required distance between the two cities is 684.1 miles.
What is an arc?Arc is the measure of the angle on the circumference of a circle.
Length of an Arc = θ × (π/180) × r
Here,
San Francisco, California 37° 47' 36" N
Seattle, Washington 47° 37' 18" N
Differences in latitude,
Seattle, Washington 47° 37' 18" N
San Francisco, California -37° 47' 36" N
= 9° 49' 42"
Now converting all in degrees
Difference = 9° + 49 / 60 + 42/3600
Difference = 9 + 0.82 + 0.012
Difference = 9.832
Difference = 9.8°
Now,
the arc between two cities = 9.8 * π / 180 * 4000
= 684.1 miles
Thus, The required distance between the two cities is 684.1 miles.
Learn more about arc here:
https://brainly.com/question/18741430
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The numerator of a fraction is 5 less than its denominator. If 1 is added to each its
value becomes 1/2. Find the original fraction.
Please solve it..
Answer: 4/9
Step-by-step explanation:
Let x represent the denominator. Then the fraction is: (x - 5)/x
Add 1 to the numerator and denominator → (x - 5 + 1)/(x + 1) = 1/2
Cross Multiply: 1(x + 1) = 2(x - 4)
Distribute: x + 1 = 2x - 8
Subtract x from both sides: 1 = x - 8
Add 9 to both sides: 9 = x
Numerator: x - 5 → 9 - 5 = 4
Denominator: x → 9
So the fraction is: 4/9
FINISH THE SENTANCE!!! woah calm down Jamal....
Answer:
Don't pull out the 9 haha ha
Step-by-step explanation:
pe pe
Answer: it’s just a game.
Step-by-step explanation: Other Possible Responses: tell me why you‘re so upset. why are you so angry?
Evaluate (One-fourth) cubed. Check all that apply. The base is One-fourth. The expanded form is (One-fourth) (one-fourth) (one-fourth). The expanded form is StartFraction 1 times 1 times 1 Over 4 EndFraction. (One-fourth) cubed = one-fourth (One-fourth) cubed = StartFraction 1 Over 64 EndFraction
Answer:
The base is One-fourth.
The expanded form is (One-fourth) (one-fourth) (one-fourth).
(One-fourth) cubed = StartFraction 1 Over 64 EndFraction
Step-by-step explanation:
Given:
Evaluate (One-fourth) cubed.
(1/4)^3
= (1/4) (1/4) (1/4)
= 1/64
The base is One-fourth.
The expanded form is (One-fourth) (one-fourth) (one-fourth).
(One-fourth) cubed = StartFraction 1 Over 64 EndFraction
Answer:
its 1, 2, 5.
Step-by-step explanation:
I need some help this math problem
Answer: i think it is 2/7
Step-by-step explanation:
congruent angles (picture below) please help ty
7x - 2(3x + 16) = -23
Solve the equation. Round the solution to the tenths place.
6.35t = 56.515
t =
Answer: 8.9
Step-by-step explanation:
Rosa is driving from Los Angeles to San Francisco. Because of some heavy traffic, she covers a distance of 5 miles in 30 minutes. How many miles does Rosa travel in 48 minutes? PLS HELPPPP:)
Answer:
8 miles.
Step-by-step explanation:
Answer:
8 miles
Step-by-step explanation:do 30divided by 6 which eqauls 5 which is shown above then do the same for 48 which eqauls 8 plzz mark as brainliest