Answer:
y=-3x/2+2
Step-by-step explanation:
slope of original line : 2/3
slope of line perpendicular:
(m)(2/3)=-1
m=-3/2
point slope form:
(y+1)/(x-2)=-3/2
2y+2=-3x+6
y=-3x/2+2
the area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring
Answer:
3x+2 and 3x-4
Step-by-step explanation:
We are given the quadratic equation 9x²-6x-8.
first, multiply 9 and -8 together (factors a*c, which equals to the sum that is b)
the result is -72
now think:
which two numbers add up to -6, but when multiplied, equal -72?
Those two numbers are -12 and 6
we can expand the polynomial:
9x²-12x+6x-8
factor by grouping:
3x(3x-4)+2(3x-4)
(3x-4)(3x+2)
so, the dimensions of the blanket are (3x-4) and (3x+2)
Hope this helps :)
Solve for n. 2/3(1+n)=-1/2n
Answer:
=−4/7
Step-by-step explanation:
And yh I'm sorry if I got it wrong
Which expression is equivalent to
Xy2/9
Answer:
x(^9 radicand y^2)
Last option
2/9 of the students in a school are in 6th grade.
Which thing is the independent variable? Which thing is the dependent variable?
please help
Answer:
depended is the 6th grade
independed the 2/9 students
-by-step explanation:
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.
If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step
Answer:
Step-by-step explanation:
θ = angle of incidence = angle of reflection
You have two similar triangles.
tanθ = 6/4 = h/45
h = 45×6/4 = 67.5 ft
The required height of the building is 67.5 feet.
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5
Thus, the required height of the building is 67.5 feet.
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One interior angle of a triangle is 30⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x and y? Select ALL that apply
Step-by-step explanation:
One interior angle of a triangle = 30⁰ .
The measure of other two are x and y .
We know that the angle sum property of a triangle is 180⁰ .
=> x + y + 30⁰ = 180⁰
=> x + y = 180⁰ - 30⁰.
=> x + y = 150⁰.
Possible solution set of x and y are ,
(1,149) (2,148 ) ...... (148+2) & (149+1)
Basically we are here decreasing y and increasing x to obtain the values .
Hope it helped !
I DONT WANT HOW TO DO IT JUST THE ANSWER
OF FRACTIONS
EXERCISE 8-2
Solve these problems. Show your work,
(1) An interior wall of a house is made up of
2 x 4 studs covered on each side with 3/4 in.
wallboard. If the actual width of a 2 x 4 stud
is 3 5/8 in., what is the total thickness of the
wall?
Answer:
qsyyyyyy ;-;
the exponential function g, whose graph is given below, can be written as g(x)=a*b^x
PLEASE HELP
Answer:
-5 9 i think that it let me know if I'm right
2. Write the coefficient of 'a' in each of the following termi) '5ax' (ii) '-4ab' (iii) '38abc' iv) '-24 ab^(2)c'
Answer:
The coefficients are:
[tex](a)\ 5x[/tex]
[tex](b)\ -4b[/tex]
[tex](c)\ 38bc[/tex]
[tex](d)\ -24b^2c[/tex]
Step-by-step explanation:
Required
The coefficient of a
To get the coefficient, we simply remove a. The remaining terms is the required coefficient
Solving (a):
[tex]Expression = 5ax[/tex]
Remove a
5x:
Hence, the coefficient is 5x
Solving (b):
[tex]Expression = -4ab[/tex]
Remove a
-4b
Hence, the coefficient is -4b
Solving (c):
[tex]Expression = 38abc[/tex]
Remove a
38bc
Hence, the coefficient is 38bc
Solving (d):
[tex]Expression=-24ab^2c[/tex]
Remove a
[tex]-24b^2c[/tex]
Hence, the coefficient is [tex]-24b^2c[/tex]
If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).
Answer:
g(5) - f(1) = 8
g(5) = 11
Step-by-step explanation:
Given:
g(x) = 2x + 1
f(x) = x + 2
Find:
g(5)
g(5) - f(1)
Computation:
g(x) = 2x + 1
g(5) = 2(5) + 1
g(5) = 11
f(x) = x + 2
f(1) = 1 + 2
f(1) = 3
g(5) - f(1) =11 - 3
g(5) - f(1) = 8
someone help please! I’m not sure but I got 1/(-32)^-1.4 but I feel like it’s incorrect. With IXL my score will go down if it’s wrong so please make sure it’s correct
Answer:
1/(32^1.4)
Step-by-step explanation:
1/(32^1.4)
lin run 5 laps around a track in 10 minutes. How many minutes per lap is that
I need help thank you
Answer:
3 1/2
Step-by-step explanation:
That is the largest value.
Answer:
3 1/2 ounces
Step-by-step explanation:
That is the biggest number on the graph.
2.
Find the Area of the Shaded Region. (15 pts)
2 m
7 m
12 m
10 m
Answer:
120 - 14 = 106
Step-by-step explanation:
7 x 2 = 14
10 x 12 = 120 therefore you,
120 - 14 = 106
The area of the shaded region is 106 m².
We have,
The area of the rectangle:
= length x width
From the figure,
Bigger rectangle dimensions:
Length = 12 m
Width = 10 m
Smaller rectangle dimensions:
Length = 7 m
Width = 2 m
Now,
The shaded region.
= Area of the bigger rectangle - Area of the smaller rectangle
= 12 x 10 - 7 x 2
= 120 - 14
= 106
Thus,
The area of the shaded region is 106 m².
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simplify 3
[tex] \sqrt[3]{a} - \sqrt[5] {a}^{2} \times ( {a}^{ - 1} )^ \frac{1}{2} [/tex]
Answer:
why is there no picture?
9514 1404 393
Answer:
cuberoot(a) - 1/tenthroot(a)
Step-by-step explanation:
The applicable rule of exponents seems to be ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
Expressing all radicals using rational exponents, we want to simplify ...
[tex]a^{\frac{1}{3}}-(a^{\frac{2}{5}})(a^{-\frac{1}{2}})\\\\=a^{\frac{1}{3}}-a^{\frac{4-5}{10}}\\\\=a^{\frac{1}{3}}-a^{-\frac{1}{10}}=\boxed{\sqrt[3]{a}-\dfrac{1}{\sqrt[10]{a}}}\\\\=\boxed{\sqrt[3]{a}-\dfrac{\sqrt[10]{a^9}}{a}}[/tex]
__
We have shown two simplified expressions. You can choose the one that matches your requirements. Sometimes we don't want any radicals in the denominator.
Divide and check the quotient and remainder of 6971÷47
Answer: 148.32 (Rounded) 148.3191489 (Unrounded)
Step-by-step explanation:
Answer:
hope it is helpful
plz mrk it as brainliest
What is the correct name for a 9-sided polygon?
decagon
octagon
nonagon
ninagon
Answer:
nonagon
Step-by-step explanation:
The correct name for a 9-sided polygon is nonagon.
Answer:
option c. nonagon
..............
cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room?
Answer:
Perimeter = 2*Length + 2*Width
= 2(10’6”) + 2(14)
= 21’ + 28’
= 49’
Step-by-step explanation:
Need this answer please
Answer:
line s
Step-by-step explanation:
Answer:
your answer will be line r
Step-by-step explanation:
hope it help
3.1 Write the following in scientific notation
a) 217 000 000 b) 0,000 253
Answer:
2.17 x 10^8
0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253
Step-by-step explanation:
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet
in length. How many 18-inch pieces can the dressmaker cut from 10 of these rolls of
ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in
total?
I need help please help me out I dont understand
Answer:
24x² - 46x + 7
Step-by-step explanation:
Area of the shaded region = area of the larger square - area of the smaller square
✔️Area of the larger square = s²
= (5x - 4)²
= (5x - 4)(5x - 4)
= 5x(5x - 4) -4(5x - 4)
= 25x² - 20x - 20x + 16
= 25x² - 40x + 16
✔️Area of smaller square = s²
= (x + 3)² = (x + 3)(x + 3)
= x(x + 3) +3(x + 3)
= x² + 3x + 3x + 9
= x² + 6x + 9
✔️Area of the shaded region = (25x² - 40x + 16) - (x² + 6x + 9)
= 25x² - 40x + 16 - x² - 6x - 9 (distributive property)
Ad like terms
= 24x² - 46x + 7
44fps converted to miles per hour
Step-by-step explanation:
30 mph is the answer of your qu
A tablecloth has a length of
9/8 meters and a breadth of 5/8 meters. What is the area of the tablecloth?
Answer:
45/64 m²
Step-by-step explanation:
We are given the length and width of the tablecloth (breath = width).
Length = 9/8 mWidth = 5/8 mWe know that the formula for the area of a rectangle is A = L × W.
Assuming the tablecloth is in the shape of a rectangle (since the problem gives us length and width), we can substitute the length and width into the formula.
A = 9/8 × 5/8 A = 45/64The area of the tablecloth is 45/64 m².
P(-7, 1) ➡️ P' ( __, __)
Q(-7, 6) ➡️ Q' ( __, __)
R(-10, -3) ➡️ R' ( __, __)
9514 1404 393
Answer:
P'(1, -7)
Q'(6, -7)
R'(-3, -10)
Step-by-step explanation:
The relevant transformation is ...
(x, y) ⇒ (y, x) . . . . . . reflection over y=x
Simply interchange the x- and y-coordinates.
P'(1, -7)
Q'(6, -7)
R'(-3, -10)
I need help with part b and c, I did a already
Answer:
a) V = 35.1 in.^3
b) V = 288 pi in.^3
c) h = 2.7 in.
Step-by-step explanation:
a)
radius of base = 2 in.
height = 8 in.
volume of cone = (1/3)(pi)(r^2)h
V = (1/3)(pi)(2 in.)^2(8 in.)
V = 35.1 in.^3
You are correct.
b)
You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.
radius of base = 6 in.
height = 24 in.
volume of cylinder = (pi)(r^2)h
V = (1/3)(pi)(6 in.)^2(24 in.)
V = 288 pi in.^3
c)
volume = 288 pi in.^3
radius = 18 in.
288 pi in.^3 = (1/3)(pi)(18 in)^2 h
288 in. = (1/3)(324)h
288 in. = 108h
h = 2.666 in.
h = 2.7 in.
A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation:
картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
PLEASE SOLVE FOR BRAINLIST 5 TIMES AND 10 POINTS