Answer:
y = -1/5 x + 2
Step-by-step explanation:
y = 5x - 4
m = 5
Slope of perpendicular = -1/5
Equation of perpendicular:
y = mx + b
y = -1/5 x + b
Use point (15, -1) for x and y, and solve for b.
-1 = -1/5(15) + b
-1 = -3 + b
b = 2
Equation of perpendicular:
y = -1/5 x + 2
QUESTION 5
Given the following two functions:
f(x)=x2+1 and g(x)=x+ 1, find (g+f) (-1)
Answer:
(g+f)(-1)=2
Step-by-step explanation:
f(x)x²+1
g(x)=x+1
(g+f)(x)= x+1+x²+1
(g+f)(-1)=(-1)+1(-1)²+1
(g+f)(-1)=(-1)+1+(-1)²+1
(g+f)(-1)=2
Hope this helps u! :)
Can someone help me with this question please
Answer:
10.3 cm
Step-by-step explanation:
There are a few ways to do this.
1)Using the law of cosines, you have ...
b² = a² +c² -2ac·cos(B)
b² = 11² +11² -2(11)(11)·cos(56°) = 106.67
b = √106.675 ≈ 10.3
AC = 10.3 cm
__
2)Using trig functions. When you draw an altitude in this isosceles triangle from B to AC, it divides AC in half, and it divides angle B in half. The sine relation can help here:
Sin = Opposite/Adjacent
sin(56°/2) = (AC/2)/(11 cm)
AC = (22 cm)sin(28°) ≈ 10.3 cm
__
3)Using a triangle solver, you can find the value of AC to be about 10.3 cm. Triangle solvers are available as apps and on the web. Your graphing calculator may have one. See attached for the results from a nice solver available on the web. Units are cm.
Find the area of the shaded region Use 3.14 for z. Une pencil and paper What would happen to the area if one of the
dimensions were changed? Explain your reasoning
C
154
173
de sort HH Đ H )
The area is approximately
(Round to the nearest hundredh as needed)
I NEED HELP
The area of shaded region = area of triangle - area of circle = 33.73 sq. m.
What is the Area of Triangle and Circle?Area of circle = πr²
Area of triangle = 1/2(base × height)
The area of the shaded region = area of triangle - area of circle
= 1/2(14 × 12) - π × 4²
Area of shaded region = 84 - 50.27
Area of shaded region = area of triangle - area of circle = 33.73 sq. m
Learn more about area of triangle on:
https://brainly.com/question/21735282
A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.
What is the length of the prism?
28 ft
12 ft
8 ft
4 ft
A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.
What is the length of the prism?
28 ft
12 ft
8 ft
4 ft
Answer:
they are right
Step-by-step explanation:
Solve for y 8x-7y=23 (fill all of the boxes)
Answer:
i think this is the correct answer
Step-by-step explanation:
Simplifying
8x + -7y = 23
Solving
8x + -7y = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
8x + -7y + 7y = 23 + 7y
Combine like terms: -7y + 7y = 0
8x + 0 = 23 + 7y
8x = 23 + 7y
Divide each side by '8'.
x = 2.875 + 0.875y
Simplifying
x = 2.875 + 0.875y
14° plus what equals 90°
The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inch wide by 1. 4 inches long, and the kitchen is 2. 4 inches wide by 2. 8 inches long. What is the actual width of the kitchen? Enter your answer in the box. The actual width of the kitchen is feet.
For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inches wide by 1. 4 inches long.
The actual length of the balcony is 7 feet or 84 in (1 ft = 12in), and on scale the length of the balcony is 1.4 in. Thus, the scale factor is,
[tex]r=\dfrac{1.4}{84}\\r=\dfrac{1}{60}[/tex]
Thus, the scale factor is 1/60.
The length of the kitchen is 2.8 in on map. Let L is the actual length of the kitchen. Therefore,
[tex]r=\dfrac{2.8}{L}\\\dfrac{1}{60}=\dfrac{2.8}{L}\\L=168\rm in\\L=14\rm ft[/tex]
The width of the kitchen is 2.4 in on map. Let W is the actual width of the kitchen. Therefore,
[tex]r=\dfrac{2.4}{W}\\\dfrac{1}{60}=\dfrac{2.4}{W}\\W=144\rm in\\W=12\rm ft[/tex]
Thus, For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
Learn more about the scale factor here;
https://brainly.com/question/10253650
Answer:its 12 feet i just took the quiz
Step-by-step explanation:
Which number is closest to 63(square root)?
A. 8.4
B. 7.2
C. 7.9
D. 6.7
Answer:
C-7.9
Step-by-step explanation:
Because the square root is actually 7.93
Answer:
C. 7.9
Step-by-step explanation:
Do the square root of 63.
[tex]\sqrt{63} = 7.93725[/tex]
Your answer isn't perfect, but it's asking for which number is the closest to the [tex]\sqrt{63}[/tex].
[tex]\sqrt{63}[/tex] ≈ [tex]7.9[/tex]
Find the percentage increase if 60 increases to 99.
Find the value of X.
50°
90°
100°
Answer: 60 degrees
Step-by-step explanation:
add 90 50 and 100
= 240
Total of all interior angles should be 360
So 360-240=120
Straight line: 180 degrees
180-120=60
Max is mountain hiking at a constant rate. This equation y = 10x 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking. Which statement best describes Max's elevation, given this equation?.
Answer:
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
Step-by-step explanation:
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking
Max started at the height of 30 meters and is ascending at a rate of 10 meters per hour. Then the correct option is A.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The equation is y = 10x + 30.
Where y is Max's elevation in meters and x is the number of hours.
Max has been hiking.
From the equation, we can conclude.
Max is ascending at a rate of 10 meters per hour.
Max is at the height of 30 meters at the starting.
Thus, option A is correct.
More about the linear system link is given below.
https://brainly.com/question/20379472
Can someone show me step by step on how to do this
x-2y=-3
2x-3y=-5
SOLVE THIS BY ELIMINATION
Answer:
x=-1, y=1
Step-by-step explanation:
x-2y=-3
multiply both all terms by -2
-2x+4y=6
-2x+4y+2x-3y=6-5
simplify to get y=1
replace y with 1 in the original equation of your choice and solve for x
x-2(1)=-3
x-2=-3
x=-1
PLEASE HELP DO BOTH A AND B PARTS PLEASE :)
Answer:
Market (3, 8)
Park (2, 5)
Lily's house (4, 3)
School (7, 6)
Step-by-step explanation:
E2023
Answer:
see attached diagram
market = (3, 8)
Step-by-step explanation:
Park = (2, 5)
Find the number 2 on the x-axis, then count up 5 units
Park = (2, 5)
x-coordinate: 1 unit to the right = 2 + 1 = 3
y-coordinate: 3 units up = 5 + 3 = 8
Therefore, market = (3, 8)
Each of 8 girls has
a button collection.
Each girl has 8
buttons in her
collection. How
many total buttons
are there in the 8
collections?
Answer: there are 64 buttons because 8*8=64
Which of the following sets of angles of a triangle represents an acute triangle?
30°, 60°, 90°
60°, 65°, 55°
40°, 40°, 100°
45°, 40°, 95°
I think it's B, but I think i am wrong. Please explain...
Answer: It's B, great job!
Step-by-step explanation: An acute angle measures less than 90 degrees. 60,65, and 55 are all under 90.
i need help w this (20 points)
Answer:
the answer for B M Y is 40
Step-by-step explanation
Part B answer to X M Y is 85
g(x) is a function as defined below 9(x) = 3 If you input 2 into g(x), what do you get for an output? Enter your answer in the simplest form in the space provided below. (If your answer is a decimal number, round it to two decimal places.) Example answer: 42.63
Answer:
The answer is 0.33 <3
Step-by-step explanation:
i put this here so its easier to see that answer then the steps :)! Try gauth math, its a great app! Just take a picture of a question and a expert will give you the right answer, and explanation.
Have a blessed week! :)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer: 1/2
Step-by-step explanation: Never fear the great answerer is here!
Answer:
I think it's 8 or 1/2. not completely sure.
8[4-x]=7x+2 Solve the equation
Answer:
x=2
Step-by-step explanation:
8x4=32
-x x8=-8x
32-8x=7x+2
+8x on both sides
32=15x+2
32-2=30
30=15x
divided by 2
2=x
Answer:
2[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
First factor our the (4-x): (8*4)(8*x)
Then we have 36 - 8x = 7x + 2
Isolate the x:
32 -2 = 8x + 7x
Simplify both sides:
30 = 15x
Divide both sides by 15
[tex]\frac{30}{15}[/tex] = [tex]\frac{15x}{15}[/tex]
Simplify further if necessary:
x = 2
Which function is linear?
Answer:
A,B,and D is a linear equation
Answer:
B. 4x - y + 2.5 = 0
Step-by-step explanation:
Its linear as it doesn't have any square or division.
ignore - ², division, xy being together. if so option D, C, A cancels out.
(8p - 8) (6p^2 + 3p+6)
Answer:
The answer is 48p^3 - 24p^2 + 24p - 48
so I don't know to solve this
Answer:
A
Step-by-step explanation:
When a slope is undefined, it is always x = ?
The point (-5, -8) tells us that x = -5
Option A also has a point with x = -5
It takes 2 cups of flour to make 24 cookies. How much flour will it take to make 60 cookies?
Answer:
5 cups of flour needed to make 60 cookies.
Step-by-step explanation:
24 cookies → 2 cups of flour
1 cookies → (2/24) cups of flour
60 cookies → [(2/24)*60 ] cups of flour
60 cookies → 5 cups of flour needed
Answer:
5 cups
Step-by-step explanation:
If 2 cups makes 24 cookies, then 1 cup makes 12 cookies. Since 12 times five is 60, 1 cup of flour filled five times makes 60 cookies so you will need 5 cups of flour.
Carlos designs the skateboard ramp shown in the diagram, 132in h? 22 degrees Enter the height of the ramp (h), in inches, Round your answer to the nearest whole inch.
The height of the ramp is 49.45in
Data;
Length of the skateboard = 132inAngle between the height and skateboard = 22 degreesheight of the skateboard rampTrigonometric RatioTo solve this problem, we can use trigonometric ratio SOHCAHTOA
Since we have the value of the angle and length of the ramp, this can be illustrated as hypotenuse and angle between the hypotenuse and opposite of the right-angle triangle.
From the information above, we have angle and hypothenuse but we need to solve for the opposite of the right-angle triangle. The sine angle can solve this problem.
[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin 22 = \frac{x}{132} \\x = 132 sin 22\\x = 49.45 in[/tex]
The height of the ramp is 49.45in
Learn more on trigonometric ratios here;
https://brainly.com/question/12172664
Can 445 be simplified?
no it can not be simplified and
Can you please solve this?!?
[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]
Given :-Here, We have,
[tex]\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}[/tex]To Prove :-We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cdLet's Begin :-[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]
Let [tex]\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}{\sf{ = k}} [/tex]Therefore,From above, We can conclude that,
a = bk, b = ck, c = dk
a = dk³ , b = dk² , c = dk
By solving RHS :-
[tex]\sf{√(a - b - c)(b-c-d) }[/tex]
[tex]\sf{√(dk³ - dk² - dk) (dk² - dk - d) }[/tex]
[tex]\sf{√d(k³- k² - k) d(k² - k - 1)}[/tex]
[tex]\sf{d√(k³- k² - k) d(k² - k - 1)}[/tex]
[tex]\sf{d√k(k²- k - 1)(k² - k - 1)}[/tex]
[tex]\sf{d(k²- k - 1)√k ...eq(1)}[/tex]
By solving LHS :-
[tex]\sf{√ab - √bc - √cd}[/tex]
[tex]\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}[/tex]
[tex]\sf{√d²k^5 - √ d²k³ - √d²k}[/tex]
[tex]\sf{dk²√k - dk√k - d√k}[/tex]
[tex]\sf{(dk² - dk - d)√k}[/tex]
[tex]\sf{d(k²- k - 1)√k...eq(2)}[/tex]
From eq(1) and eq(2)
[tex]\bold{\red{ LHS = RHS }}[/tex]
That is,
[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]
Hence proved .Yes, the RHS and the LHS are equal/
Calculations and Parameters:Given:
[tex]a/b= b/c = c/d[/tex]
We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd
Hence, after we expand the brackets and evaluate, we see that:
a = bk, b = ck, c = dka = dk³ , b = dk² , c = dkAfter the evaluation of the RHS and LHS, we can see that
RHS= LHS .
Read more about maths expressions here:
https://brainly.com/question/2164351
Fill in the table using this function rule.
y = 4x + 1
HELP PLEASE NOW!!! no links plz
Answer:
y=4x+1
for x=3
y=4(3)+1
y=12+1
y=13
for x=6
y=4(6)+1
y=24+1
y=25
for x=8
y=4(8)+1
y=32+1
y=33
for x=10
y=4x+1
y=4(10)+1
y=40+1
y=41
x y
3 13
6 25
8 33
10 41
please pick me brainliest.
I HOPE IT HELPED
Please answer please and what do you do to solve this?
9+4(a+5)
a) 18+4a B)29+4a
C) 33+4a D) 23+4a
Answer:
B) 29 +4a
Step-by-step explanation:
for this question we need to expand the brackets. to do this you would times everything in the brackets separately by 4, 4 times a which is 4a and 4 times 5 which is 20.
this would creat a sum of 9+4a+20
now we can add together the like terms which in this case are 20 and 9 making the whole sum 29 +4a
this is how you expand the brackets.
deserving of a brainliest?
Answer: B) 29+4a
Step-by-step explanation:
Distribute the parentheses first as multiplication comes before addition:
9+4(a+5)
9+4a+20
Add 9 and 20:
29+4a
On Dec. 4, 1998, sunrise was at 6:58 and sunset was at 4:12.
The length of the daylight was:
O A. 8 hr 15 min
B. 9 hr 3 min
O c. 9 hr 12 min
OD. 9 hr 14 min
E. 10 hr 15 min
PLS HELP
solve for me thanks im begging
Answer: y = 8x
Step-by-step explanation:
y = 8x