Answer:
angle 5
Step-by-step explanation:
angle 5 is in the same position as angle 3.
Answer:
angle 5 corresponds angle 3.
simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed it :)
Answer:
[tex] \frac{x^{2} + 19x - 56}{4 {x}^{2} - 32x} [/tex]
Step-by-step explanation:
Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.
After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.
Lastly, expand the denominator.
[tex] \frac{x + 7}{4x} + \frac{5}{x - 8} [/tex]
[tex] = \frac{(x + 7)(x - 8)}{4x(x - 8)} + \frac{5(4x)}{4x(x - 8)} [/tex]
[tex] = \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)} [/tex]
[tex] = \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)} [/tex]
[tex] = \frac{ {x}^{2} + 19x - 56}{4x(x - 8)} [/tex]
[tex] = \frac{ {x}^{2} + 19x - 56}{4 {x}^{2} - 32x} [/tex]
What is the reciprocal of 8 1/4 ?
a. 4/33
b. 33/4
c. 8 1/4
d. 8 4/1
Answer:
d
Step-by-step explanation:
because you flip the numerator and denominator so the you'd get 8 4/1
Answer:
I thought it would be A
Step-by-step explanation:
because if you make 8 1/4 an improper fraction, it becomes 33/4.
the reciprocal of 33/4 is 4/33
If 6 hands is 2 feet and 3 feet is 7 arms and 3 arms is 2.5 heads, how many heads is 10 hands? Round to the nearest tenth
The question is an illustration of unit conversion
10 hands is equivalent to 6.5 heads
The given parameters are:
[tex]\mathbf{6\ hands = 2\ feet}[/tex]
[tex]\mathbf{3\ feet= 7\ arms}[/tex]
[tex]\mathbf{3\ arms= 2.5\ heads}[/tex]
Divide both sides of [tex]\mathbf{6\ hands = 2\ feet}[/tex] by 2
[tex]\mathbf{3\ hands = 1\ feet}[/tex]
Multiply both sides by 3
[tex]\mathbf{3 \times 3\ hands = 3 \times 1\ feet}[/tex]
[tex]\mathbf{9\ hands = 3\ feet}[/tex]
Recall that:
[tex]\mathbf{3\ feet= 7\ arms}[/tex]
Substitute 7 arms for 3 feet
[tex]\mathbf{9\ hands = 7\ arms}[/tex]
Divide both sides by 7
[tex]\mathbf{\frac{9\ hands}{7} = \frac{7\ arms}{7}}[/tex]
[tex]\mathbf{\frac{9\ hands}{7} = 1\ arm}[/tex]
Multiply both sides by 3
[tex]\mathbf{\frac{9\ hands}{7} \times 3= 1\ arm \times 3}[/tex]
[tex]\mathbf{\frac{27\ hands}{7}= 3\ arms}[/tex]
Recall that: [tex]\mathbf{3\ arms= 2.5\ heads}[/tex]
So, we have:
[tex]\mathbf{\frac{27\ hands}{7}= 2.5\ heads}[/tex]
Multiply both sides by 7
[tex]\mathbf{27\ hands= 17.5\ heads}[/tex]
Divide both sides by 27
[tex]\mathbf{1\ hands= \frac{17.5}{27}\ heads}[/tex]
Multiply both sides by 10
[tex]\mathbf{10 \times 1\ hands= 10 \times \frac{17.5}{27}\ heads}[/tex]
[tex]\mathbf{10 \times 1\ hands= \frac{175}{27}\ heads}[/tex]
[tex]\mathbf{10\ hands= \frac{175}{27}\ heads}[/tex]
[tex]\mathbf{10\ hands= 6.5\ heads}[/tex]
Hence, 10 hands is 6.5 heads
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Can someone please help me with #1-#5?I don't know how to find the answer.
Answers:
Slope = undefined; y intercept = noneSlope = 2; y intercept = -2Slope = -1; y intercept = 1Slope = 0Slope = -4========================================================
Explanation:
1)
For any vertical line, the slope is always undefined. Recall that slope = rise/run. For a vertical line, the run is 0 because there is no left or right movement. This leads to a division by zero error. The vertical line is also parallel to the y axis, meaning that there isn't a y intercept whenever the line isn't directly on top of the y axis.
The equation of this vertical line is x = 3 as all points on this line have the same x coordinate of 3.
-----------------------
2)
We can use the slope formula for the points [tex](x_1,y_1) = (-1,-4) \ \text{ and } \ (x_2,y_2) = (3,4)[/tex]
So,
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-4)}{3-(-1)}\\\\m = \frac{4+4}{3+1}\\\\m = \frac{8}{4}\\\\m = 2\\\\[/tex]
The slope is 2.
The y intercept is -2 as this is the location where the diagonal line crosses the y axis.
The equation of this line is y = 2x-2.
-----------------------
3)
Same idea as problem 2.
[tex](x_1,y_1) = (-2,3)\\\\(x_2,y_2) = (3,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-3}{3-(-2)}\\\\m = \frac{-2-3}{3+2}\\\\m = \frac{-5}{5}\\\\m = -1\\\\[/tex]
The slope is -1.
The y intercept is 1 because the line cuts through 1 on the y axis.
The equation is y = -1x+1 which is the same as y = -x+1.
-----------------------
4)
Pick any two points from the table. Each column represents a different (x,y) ordered pair point. Those two points selected are then plugged into the slope formula. I'll pick the first two columns.
[tex](x_1,y_1) = (1,-2)\\\\(x_2,y_2) = (2,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-(-2)}{2-1}\\\\m = \frac{-2+2}{2-1}\\\\m = \frac{0}{1}\\\\m = 0\\\\[/tex]
Notice how the y coordinates are the same, which leads to a difference of 0 up top and ultimately the slope itself is also 0. We have a horizontal flat line here. All horizontal lines have a slope of 0.
The y intercept is -2 because all y values for this function are the same.
The equation is y = 0x-2 which is the same as y = -2.
-----------------------
5)
Again I'll pick the first two columns to plug into the slope formula, but you can pick any two columns you prefer.
[tex](x_1,y_1) = (-3,11)\\\\(x_2,y_2) = (-1,3)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{3-11}{-1-(-3)}\\\\m = \frac{3-11}{-1+3}\\\\m = \frac{-8}{2}\\\\m = -4\\\\[/tex]
The slope is -4.
Use this slope value, along with any column from the table to form the (x,y) point, to plug into the slope intercept form below. I'll use the first column
y = mx+b
11 = -4*(-3)+b
11 = 12+b
11-12 = b
-1 = b
b = -1
The y intercept is -1.
The equation is y = -4x-1.
in the equation dy+3x=2, for what value of d is the graph of the equation parallel to the graph of x-3y=0? the y axis?
Answer:
-9
Step-by-step explanation:
The slope of the the solving equation is triple the slope of the given equation. Therefore, the y coefficient must also be triple of the other y coefficient.
What is 0.01 times 100
Answer:
1 because you just move the decimal places two times to the left!
Hope this helps :D
HELPPP LAST ATTEMPT!!
Answer:
(5, -3)
Step-by-step explanation:
What is the answer.....?
7:3
Step-by-step explanation:
When interest is compounded
quarterly, find the nominal rate if the effective rate is 8.7%
Answer: Use SoupCalculator I have the answer I just dont want you to get it wrong
Danielle swam a total of 266 laps in the 7 days leading up to the swimming finals. How many laps did she swim each day if she swam the same number every day?
Answer:
Step-by-step explanation:
266 divided by 7 is 38 laps a day
The recipe for chocolate cake called for 3/4 of a cup of chocolate frosting if the bakery used one 5 1/4 of chocolate frosting how many chocolate cakes does the bakery make?
Answer:
It would make 7 batches of chocolate cake
Please help
__________________
Answer:
She will spend 2.66 dollars
Step-by-step explanation:
Answer:
she would spend $7.52
Step-by-step explanation:
Slope Intercept form of a Line.
Answer:
Step-by-step explanation:
Slope: -3
y-intercept: -2 (y-intercept is where a line cross the y-axis, vertical line)
Pencil on the y-intercept, three down and one to the right, then trace the line from -2 on the y-axis.
Please help me
Will give brainly if you actually answer the questions
Answer:
29. b. 20
30. c. any real numbers
Step-by-step explanation:
I used a calculator let me know if im incorrect
Evaluate the surface integral. S xz dS S is the boundary of the region enclosed by the cylinder y2 + z2 = 16 and the planes x = 0 and x + y = 10
If you project S onto the (x,y)-plane, it casts a "shadow" corresponding to the trapezoidal region
T = {(x,y) : 0 ≤ x ≤ 10 - y and -4 ≤ y ≤ 4}
Let z = f(x, y) = √(16 - y²) and z = g(x, y) = -√(16 - y²), each referring to one half of the cylinder to either side of the plane z = 0.
The surface element for the "positive" half is
dS = √(1 + (∂f/∂x)² + (∂f/dy)²) dx dy
dS = √(1 + 0 + 4y²/(16 - y²)) dx dy
dS = √((16 + 3y²)/(16 - y²)) dx dy
The the surface integral along this half is
[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16-y^2} \sqrt{\frac{16+3y^2}{16-y^2}} \, dx \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16+3y^2}\, dx \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = \frac12 \int_{-4}^4 (10-y)^2 \sqrt{16+3y^2} \, dy[/tex]
[tex]\displaystyle \iint_T xz \,dS = 416\pi[/tex]
You'll find that the integral over the "negative" half has the same value, but multiplied by -1. Then the overall surface integral is 0.
Uhm anyone????? pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
$85
Step-by-step explanation:
(if you need to explain how the anwer was gotten)
34 ÷ 4 = 8.5
8.5 × 10 = 85
What is the prime factorization of 96?
96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers. brainliest me pls
#Chloe919
#brainliest me
thanks for the points
Answer: 2^5 · 3
Step-by-step explanation: Prime Factorization refers to finding which prime numbers multiply together to form the original number. The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 ×
Find the values of m and b for this line.
Answer:
b=-5, m= - 3/-2
Step-by-step explanation:
Slope equation is y=mx+b. Slope is finding the rise(vertical change) over run(horizontal change). In this case, -3 is our negative rise and 2 is our run. Put that into fraction form, we get negative 3/2. In the slope equation, b represents the y-intercept(where the line touches the y-axis). In this case, it is -5. Hope this helps you!
dishta adds 2oz of milk into 18oz cup of coffe that is 10% milk. what is the precentage of milk in the resulting mixture?
Answer:
19%Step-by-step explanation:
Cup of coffee has milk content:
18*10/100 = 1.8 ozThe mixture after adding milk has:
2 + 1.8 = 3.8 oz milkPercentage of milk in the mixture:
3.8/(2 + 18)*100% = 19%y’all please a girl b struggling. What is the true solution to 2 In ein 5x = 2 In 15?
X=0
X= 3
X=9
X = 15
x=3
本题已由中国数学会官方解答(现有会员:3人)
The solution is, the value of x = 3.
What is quotient and product rule of logarithm?Logarithm, the exponent or power to which a base must be raised to yield a given number. The quotient rule says that, the logarithm of a quotient is equal to a difference & the product rule says that logarithm of product is equal to the sum of logarithm.
here, we have,
given that,
2 In e^(ln 5x) = 2 In 15
now, we have to solve it for x.
we know that,
e^(ln 5x) = 5x
using the rule of logarithm.
so, we have,
2 In (5x) = 2 In 15
now, for solving,
comparing both sides, we get,
15 = 5x
i.e. x = 15/5
or, x = 3
Hence, The solution is, the value of x = 3.
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if katherine get 20 bottles and she needs to give 5 to freddy how much is more
Answer:
15 bottles are left
Step-by-step explanation:
we say:
20 bottles
- 5 bottles
15 bottles
Answer:
15
Step-by-step explanation:
20 - 5 = 15
A car is traveling at a speed of 30 meters per second. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 2 hours? Do not
round your answers.
Answer:
216,000
Step-by-step explanation:
45-45-90 method
Please help and show your work!!!
Answer:
hope this helps and u understood it
check the steps in the picture attached
What is the measure for x
Answer:
130 degrees
Step-by-step explanation:
A triangles angles have to equal 180 degrees
A right angle = 90 degrees
40+90=130
180-130=50
A straight angle has to equal 180 degrees
180-50=130
130 degrees
Identify the constant of proportionality from the table. A.2 B.3 C.1/3 D.6
Answer: The answer would be C, 1/3
Step-by-step explanation:
If you turn each proportion into a fraction and simplify each fraction, they would all simplify to 1/3. Hope this helps.
PLEASE HELP ASAP only if you know the answer pleaseeeee
Which best describes the type of triangle?
Answer:
the answer is obtuse. B. I hope this helps you!
Answer:
it is obtuse
Step-by-step explanation:
A rectangle has a length 4 m less than twice its width. When 3 m are added to the width, the resulting figure is a square with an area of 100 m². Find the dimensions of
the original rectangle.
Answer:
305
Step-by-step explanation:
sorry!
2.
Write an equation in point-slope form for the line through the given point with the given slope.
(–3, –7); m = -6/5
A. y – 7 = -6/5 (x-3)
B. y + 7 = -6/5 (x+3)
C. y + 3 = -6/5 (x+7)
D. y – 7 = -6/5 (x+3)
Answer:
B. y + 7 = -6/5 (x+3)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula y − y 1 = m ( x − x 1 ) .
Slope-intercept form: y = − 6 /5 x − 53 /5
Point-slope form: y + 7 = − 6 /5 ⋅ ( x + 3 )
¿que es un plano cartesiano y quien lo invento?
Answer:
René Descartes
Step-by-step explanation:
N/A, too simple of a question.
Answer:
filósofo René Descartes.
El plano cartesiano lleva el nombre del matemático y filósofo francés René Descartes (1596-1650), quien introdujo el sistema de coordenadas para mostrar cómo se podía usar el álgebra para resolver problemas geométricos.
please help if you can:)
Find the range of the quadratic function.
y=2x² -
- 8x + 9
Answer:
(-2,17) i think i am not sure
Step-by-step explanation: