What is the value of p?
A.60°
B. 40°
C. 90°
D. 50°
Answer:
D . p = 50
Step-by-step explanation:
To find the value of p we first need to find the values of inner angles
180 - 140 (linear pair)
= 40
180 -90 (linear pair)
= 90
now use angle sum property of triangle
40 + 90 + p = 180
130 + p = 180
p = 180 - 130
p = 50
Give the slope of a line perpendicular to AB
Answer:
m = -1
Step-by-step explanation:
Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].
8-5/7-4
3/3
1
Find the y-intercept.
5 = 1(4) + b
5 = 4 + b
1 = b
So the equation of the line AB is y = x + 1.
The slope of a perpendicular line is the opposite reciprocal of the original line.
1 -> -1/1 -> -1
Best of Luck!
Answer and explanation please?
Answer:
c= 13
Step-by-step explanation:
The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper
A store in Iowa advertises that during their Labor Day sale, everything is 25% off, plus they will pay the sales tax. Mike buys shoes for $80 and socks for $5. Since there will be no tax added, what is the final price for Mike’s purchase?
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Answer:
$63.75
Step-by-step explanation:
Mike's final price will be 1-25% = 75% of the marked price.
($80 +5)(0.75) = $63.75
The final price for Mike's purchase is $63.75.
Question 5
1 pts
Write the equation of a line through (5,1), parallel to y=-*+1
o
Answer:
3rd, y=-1/5x
Step-by-step explanation:
Going to sleep goodbye
What is the point on the graph of f(x+5)
Answer:
=fx+5f
Step-by-step explanation:
=fx+5f
g(x)=
Write a relationship for a function whose g(x) values are 2 more than five times the principal square root of x.
Lets do
2 more than five times the square root of x[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]
Lets take an example
[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]
[tex]\\ \sf\longmapsto 5(2)+2[/tex]
[tex]\\ \sf\longmapsto 10+2[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
How do you get 2.5 out of 20/8
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Explanation:
If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.
__
[tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]
We assume that you know dividing by 10 moves the decimal point one place left.
Solve the equation.
6(x + 7) = 5(x - 7) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer:C
Step-by-step explanation:
6(x+7)=5(x-7)+x
⇔6x+42=5x-35+x
⇔6x-5x-x=-35-42
⇔0x=-77
If I have 500 and have a 6% annual interest how long will it take to get 2000
Answer:
23.8 years
Step-by-step explanation:
Assuming this is compound interest, we'll use the compound interest formula
A = P(1 + r)ⁿ
A = Final amount (2000)
P = Initial amount (500)
r = Annual interest rate (.06)
n = ?
Our equation will look like this
2000 = 500(1.06)ⁿ
First, divide both sides by 500
2000/500 = (500(1.06)ⁿ)/500
(1.06)ⁿ = 4
Then we have to take the log₁.₀₆ out of both sides
n = log₁.₀₆(4)
n = 23.79132
Find two positive numbers whose difference is 30 and whose product is 2584.
Answer:
[tex]38[/tex] and [tex]68[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the smaller one of the two number.
[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].
The question states that the product of the two numbers is [tex]2584[/tex]. In other words:
[tex]x\, (x + 30) = 2584[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]x^{2} + 30\, x - 2584 = 0[/tex].
The first root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].
Similarly, the second root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].
Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.
Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].
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Answer:
38 and 68
Step-by-step explanation:
Let x represent the average of the two numbers. Then their product is ...
(x -15)(x +15) = 2584
x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2
x = √2809 = 53
Then the two numbers are ...
53 +15 = 68
and
68 -30 = 38
The two numbers are 38 and 68.
_____
Additional comment
Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.
P(x) = x^4+ax^3-x^2+bx-12 has factors of (x-2) and (x+1). Solve the equation P(x)=0
Answer:
because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)
so we have:
[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]
=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]
With P(x) = 0
=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]
=> ........
Step-by-step explanation:
Which of the following equations has exactly one solution?
2x + 3 – 6x=-4x – 3
3x + 12 – 9x = -11x + 12 + 5x
6x +9 - 8x = 2x + 9
7x + 3 – 8= 13x + 5 – 6x
Answer:
I belive I might be c not completely sure but pretty positive
2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
answer: 9
Step-by-step explanation:
x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9
help with this math question plz
Answer: The length of LK is 40.
Step-by-step explanation:
LK = 6x+10
KM = 2x+8
LM = 58
so
LM = LK + KM
or, 58 = 6x+10+2x+8
or, 58 = 8x + 18
or, 58-18 = 8x
or, 8x = 40
so, x = 5
now
LK = 6x + 10
= 6*5+10
= 30 +10
= 40
A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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Answer:
boat: 72 km/hcurrent: 16 km/hStep-by-step explanation:
The speed difference between boat and current is the upstream rate:
(448 km)/(8 h) = 56 km/h
The sum of speeds of boat and current is the downstream rate:
(440 km)/(5 h) = 88 km/h
The rate of the boat is half the sum of these:
(56 +88)/2 = 72 . . . km/h
The rate of the current is half their difference:
(88 -56)/2 = 16 . . . km/h
The rate of the boat is 72 km/h; the rate of the current is 16 km/h.
Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?
2.
Match the graph of the function with the function rule.
A. [tex]y=\frac{1}{4}[/tex]·4^x
B. y = 1 • 4x
C. [tex]y=\frac{1}{2}[/tex]·4^x
D. y = 2 • 4x
Answer:
C) [tex]y = \frac{1}{2}[/tex] × [tex]4^x[/tex]
Answer:
C. y= 1/2*4^x
Step-by-step explanation:
How do I write three fourths of a number is 12 as an equation?
Answer:
[tex] \frac{3}{4} n = 12[/tex]
Step-by-step explanation:
let the number be n :
[tex] \frac{3}{4} \: of \: n = 12 \\ \\ \frac{3}{4} n = 12[/tex]
further more:
[tex]3n = 12 \times 4 \\ n = \frac{12 \times 4}{3} \\ \\ n = 4 \times 4 \\ n = 16[/tex]
Answer:
3x4=12
Step-by-step explanation:
Emily gets paid $40 just for showing up to watch her sister’s dog. Her sister then pays her $25 per everyday she watches the dog.
Answer:
Step-by-step explanation:
what is - 7/10 + (- 5/6) =
-7/10 + (-5/6) = -(7/10 + 5/6) =
= -(21/30 + 25/30) = -46/30 =
= -1 16/30 = -1 8/15 ← the end
Which of the equations below could be the equation of this parabola?
Vertex
(0, 0)
0
10
ОА
A. x = - 1 2 3 4
B. y = - 1/2 x ²
C. x = 1 / 4²
Do y = x
Answer:
the answer is "B"
the "a" (as in ax^2) is negative thus the parabola "goes downward"
Step-by-step explanation:
The equation of parabola is,
y = - 1/2x²
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
We have to given that;
In a parabola,
Vertex = (0, 0)
Since, We know that;
Standard form of equation of parabola is,
y = a (x - h)² + k
Where, (h, k) = (0, 0) = vertex
Hence, We get;
y = a (x - 0)² + 0
y = ax²
Here, A point on parabola is, (2, - 2)
- 2 = a (2)²
a = - 2 / 4
a = - 1/2
Hence, The equation of parabola is,
y = - 1/2x²
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Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
Answer:
1360
Step-by-step explanation:
there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.
3=g/-4-5 ((for 25 points))
Answer:
3=g/-4 -5
3+5=g/-4
8= g/-4
8x(-4)=g
g=-32
Step-by-step explanation:
At the 2010 Olympics in Vancouver, Yu-Na Kim scored 226.56 points in woman's figure skating. Akiko Suzuki scored 181.44 points in the event. About how many more points did Yu-Na Kim score than Akiko Suzuki?
Answer:
5 more matches was won by yu-na kim
In December yanni’s chocolate shop received 180 telephone orders. In January they received only 72 telephone orders. By what percent did the number of telephone orders decrease from December to January
Answer:
Step-by-step explanation:
A number to be a rational number that is not an integer but a while number
Answer:
So coming back to the question; No, there is no rational number that is not an integer but is a whole number. The number is called as a rational number if it can be expressed as p/q where p & q are integers & q is not 0. All negative integers are rational numbers but those are not whole numbers.Jan 1, 2020
Step-by-step explanation:
What is 8(9h - 6) simplifyed
Convert 8 2/3% into a decimal.
Answer:
the answer is = 0.08666666666
The decimal value of 8 2/3% is 866.677.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
8 2/3% into decimal.
So, 8 2/3%
= 26/3 %
= 26 /3 x 100
= 8.6666667 x 100
=866.6777
Learn more about Percentage here:
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