Answer:
y = 2x + 8
Step-by-step explanation:
Equation of line:Parallel lines have same slope.
y = 2x - 4
Slope = 2
Point (-2 ,4)
Equation of line in point-slope form:
y - y₁ = m(x - x₁)
y - 4 = 2(x - [-2] )
y - 4 = 2(x + 2)
y -4 = 2x + 4
y = 2x + 4 + 4
[tex]\sf \boxed{y = 2x + 8}[/tex]
Which of the following expressions represents the given algebraic tiles
The expression that represents the given algebraic tiles is 2x² + 6x + 6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The expression for the given algebraic tiles is:
Total = x + x + x + 1 + 1 + 1 + x² + x + x + x + 1 + 1 + 1 + x² = 2x² + 6x + 6
The expression that represents the given algebraic tiles is 2x² + 6x + 6
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69. REAL-WORLD APPLICATIONS
A gym membership with two personal training sessions costs $125, while gym membership with five personal training sessions costs $260. What is cost per session?
Answer:
Cost of per session the average rate is $45.
Step-by-step explanation:
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
It is required to find what is the cost per session.
Step 1 of 1
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
To find the cost of per session calculate the average rate.
Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.
[tex]$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$$[/tex]
Now substitute, $125 for [tex]$f\left(x_{2}\right)[/tex], 260 for [tex]$f\left(x_{1}\right), 2$[/tex] for [tex]$x_{1}$[/tex] and 5 for [tex]$x_{2}$[/tex] then,
[tex]$m=\frac{260-125}{5-2}$\$$\begin{aligned}&=\frac{135}{3} \\&=45\end{aligned}$$[/tex]
Cost of per session the average rate is $45.
GEOMETRY QUESTION HELP ASAP THANK YOU)
(The question is on the picture below)
Answer:
The ANSWER is Option A ( 151° ).
.
.
Mark BRAINLIEST!
find the area of the following figure..
Answer:
456 [tex]cm^{2}[/tex]
Step-by-step explanation:
Find the height of the trapezoid first (QR):
[tex]\sqrt{37^{2} -35^{2} }[/tex] = 12
QR = 12
Area:
[tex]\frac{a+b}{2}[/tex] × h = [tex]\frac{35+41}{2}[/tex] × 12
= 456 [tex]cm^{2}[/tex]
Use slope-intercept form to write the equation of a line that has a slope of −3 and passes through the point (1, −5).
y=
x=
m=
Answer:
y=-3x-2
Step-by-step explanation:
The slope-intercept form is y=mx+b
where m is slope and b is y-intercept.
Substitute m=-3 and point (x,y)=(1,-5) into the equation:
-5=-3(1)+b
-5=-3+b
b=-5-(-3)=-5+3=-2
Therefore, the required equation:
y=-3x-2
i need help on question 32 for algebra
Answer:
d. 40 feet
Step-by-step explanation:
Perimeter = 140 ft
Width = L + 10
P = 2w + 2L
140 = 2(L + 10) + 2L
140 = 2L + 20 + 2L
120 = 4L
L = 30
w = L + 10
w = 30 + 10
w = 40
how do i find the slope of the line containing ordered paid? A(2,-5), B(-2,6)
The slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the given containing ordered paid A(2,-5) and B(-2,6) is:
Slope = 6+5/-2-2 = 11/-4
Hence, the slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.
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Find all the possible values of tan^-1 1
The possible values of tan^-1(1) are (3π + 4n)/4
How to determine the possible values?The expression is given as:
tan^-1(1)
To determine the possible values, we plot the graphs of
y = tan(x) and y = 1
From the graph, we have the following values
tan^-1(1) = (3π + 4n)/4 when n = ±{0,1,2....}
Hence, the possible values of tan^-1(1) are (3π + 4n)/4
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hi I have no idea how to do this question :)
Answer:
A. 36
Step-by-step explanation:
Because the two angles at the bottom of both the triangles are congruent, the two triangles are similar. Therefore, the corresponding side lengths of the triangles must be proportional to each other
if the area of a triangle is hb/2,
(with h=length of height, b=length of base)
the height of the first triangle is:
25 = 10h/2
50 = 10h
h=5
you can write ratios representing the proportions of the two triangles:
5/x = 10/12 (with x=height of second triangle)
x=6
then find the area of the second triangle with the height (6) and base (12)
(6*12)/2 = 36
what are the possible numbers of positive, negative, and complex zeros of f(x)=-3x^4+5x^3-x^2+8x+4
Answer:
There could be 0, 2, or 4 complex solutions
Step-by-step explanation:
The Fundamental Theorem of Algebra states that any polynomial with n degree will have n solutions So since the degree of the polynomial you provided has a degree of 4, that means there are 4 possible solutions. This question specifically asks for complex zeroes. Complex zeroes come in conjugate pairs, so that means if you have one complex zero, there is another complex zero which is it's conjugate. For this reason, there can only be an even number of complex zeroes. And since there's 4 possible solutions, There could be 0, 2, or 4 complex solutions
Calcular el area de un pentagono regular de 10 centimetros de lado
el área del pentágono es de 172 centímetros cuadrado.
¿Qué es Área?El área es el espacio ocupado por un objeto bidimensional.
Se calcula en unidades cuadradas.
Se da que , El lado del pentágono mide 10 centímetros
El área del pentágono está dada por
[tex]\rm A = \dfrac{1}{4} \sqrt {5 ( 5 +2\sqrt{5})} \; a^2[/tex]
aquí A es el área
l es la longitud del lado del pentágono
Sustituyendo los valores
[tex]\rm A = \dfrac{1}{4} \sqrt {5 ( 5 +2\sqrt{5})} \; 10^2[/tex]
A = 1.72 * 100
A = 172 centímetro cuadrado
Por lo tanto, el área del pentágono es de 172 centímetros cuadrado.
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help me please 10 points
Answer:
150 square feet
Step-by-step explanation:
Method 1: The area of a trapezoid is
A = (8 + 17) / 2 x 12 = 150 square feet
Method 2: You can also split it into a rectangle and a triangle.
12 x 8 + 12 x (17 - 8)/2 = 150 square feet
At a weather station in the Artic the temperature was recorded as -23° C.
Two hours later it had fallen by 11° C.
(i) What was the new temperature?
()Four hours after the first readings the temperature was -45° C.
By how much had the temperature fallen in four hours.
Answer:
(i) -34° C.
(ii) The temperature had fallen by 11° C.
Step-by-step explanation:
(i) As it's a negative number its like we are adding it so 23 + 11 = 34 and as it is a negative number it would be -23 - 11 = -34 which makes it -34° C.
(ii) We know that the temperature now is -45° C, we need to find out how much the temperature had fallen in the 4 hours which had passed. So what we do is essentially add it considering its a negative number so we add -34 by 11 which equals -45. We do this so we can find out how much the temperature had dropped within the 4 hours and as we know that we needed to add 11 to the previous temperature (-34° C) it means that the temperature has dropped by 11° C.
please help me!!!!!!!!!!!!!!
20 POINTS
Answer:
The Area of the Grass is 18 square meters.
Step-by-step explanation:
Find the area of the grass and sand (5*6). The area of the grass and sand is 30.
Next, find the area of just the sand (3*4). The area of the sand is 12.
Subtract the area of the sand (12) from the area of the grass and sand (30).
30-12 = 18
if you apply to college as a freshman in 2023, and they accept you, when you start going to college?
Answer: Likely May through August 2023
Step-by-step explanation: It really depends on the college.
The value of a car depreciates at a rate of 15% per year. When brand new the car is worth £42000 How much will it be worth 2 years later?
Answer:
£ 30 345.
Step-by-step explanation:
15 % off means that 85% is left
42 000 * .85 * .85 = 42 000 (.85)^2 = 30 345
Please.. Given the image below, DY,EY ,FY are perpendicular bisectors of △ABC. So, 30.11=
a) FY
b) YE
c) EB
d) DY
e) cannot be determined
Answer:
e) cannot be determined
Step-by-step explanation:
hope this helps!!
if an equilaterl triangle is inscribed in a circle of a radius 8cm.then what is the area of the triangle?
The area of the triangle is 83.14 square centimeters.
How to get the area of the triangle?If an equilateral triangle is inscribed in a circle of radius R, each side of the triangle measures:
S = R*√3
In this case R = 8cm.
And we know that the area of an equilateral triangle of side length S is:
[tex]A = \frac{\sqrt{3} }{4} *S^2[/tex]
Replacing what we know in the area formula:
[tex]A = \frac{\sqrt{3} }{4} *(\sqrt{3}*8cm)^2 = 83.14 cm^2[/tex]
The area of the triangle is 83.14 square centimeters.
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Which expressions are equivalent to 22c + 33d
An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A, C, and E.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
To know the expressions that are equivalent to 22c+33d, all the expressions in the options are needed to be simplified.
Let simplify each of the given opion,
A.) (−2c−3d)(−11) = 22c + 33d
B.) 2(11c− 33/2) d = 22c - 33d
C.) (66c+99d)⋅1/3 = 22c + 33d
D.) −1×(−22−33d) = 22 + 33d
E.) 11⋅(2c+3d) = 22c + 33d
Hence, the correct options are A, C, and E.
The complete question is:
Which expressions are equivalent to 22c + 33d?
A. (−2c−3d)(−11)
B. 2(11c− 33/2 d
C. (66c+99d)⋅1/3
D. −1×(−22−33d)
E. 11⋅(2c+3d)
choose 3 answers
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Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is impossible?.
Suppose that a probability is approximated to be zero based on empirical results, this does not mean that the event is impossible.
What is probability?The likelihood that an event will occur is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
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Simplify : i) (〖6x〗^2+x-7)/(12x^2+14x)
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of the given expression can be done as,
[tex]\dfrac{(6x)^2+x-7}{12x^2+14x}\\\\\\=\dfrac{36x^2+x-7}{12x^2+14x}\\\\\\=\dfrac{(6x)^2+x-7}{2(6x^2+7x)}[/tex]
Hence, the simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].
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Find the equation of a circle whose center is at (-3, 7) and radius is 9 units.
Answer:
(x + 3)² + (y - 7)² = 81
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
here (h, k ) = (- 3, 7 ) and r = 9 , then
(x - (- 3) )² + (y - 7)² = 9² , that is
(x + 3)² + (y - 7)² = 81
Answer:
[tex]x^2+y^2+6x-14y-23=0[/tex]
Step-by-step explanation:
[tex](x-(-3))^2+(y-7)^2=9^2\\x^2+6x+9+y^2-14y+49=81\\x^2+y^2+6x-14y-23=0[/tex]
Find the area of a circle with radius, r = 5.64m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.
Answer:
99.93 [tex]m^{2}[/tex]
Step-by-step explanation:
1. The area of a circle is defined by the equation: A = [tex]\pi r^{2}[/tex]
2. We can plug in the radius and solve the equation: A = [tex]\pi *5.64^{2}[/tex]
3. A = π * 31.8096
4. A = 99.932
5. A = 99.93
Sam opened a savings account with $400. He earns $1,640 a
month at his job and will deposit 3% of his monthly pay every
month into his new savings account. Assuming he doesn't
withdraw money from his savings account, which equation shows
the balance y of his savings account x months after he opened it?
y = 12x + 400
y = 400x + 1640
y = 49.2x + 400
y = 0.03x + 400
Answer:
y = 49.2x+400
Step-by-step explanation:
He deposits 3% of his monthly pay = 0.03*1640 = $49.2 every month = 49.2x
He put $400 when he opened the account so that needs to be added in = 49.2x+400
isabella and aiden get a reward of $119 in the ratio of 4 3, what fraction of the total reward does isabella get
Using proportions, considering the given ratio, Isabella gets [tex]\frac{4}{7}[/tex] of the total reward.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The ratio of Isabella and Aiden is 4:3, which means that out of 4 + 3 = 7 items, Isabella gets 4 and Aiden gets 3, hence the fraction is given by:
[tex]\frac{4}{7}[/tex].
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im not sure how to solve this question ???
Answer:
Part A) B
Part B) D
Step-by-step explanation:
Given:Total sweets = 10
Red = 4
Green = 2
Yellow = 3
Purple = 1
A = 2/10 = 1/5
B = 3/10
C = 4/10 = 2/5
D = 1
Solution:Part A)Yellow sweets = 3
Total = 10
Probability = yellow/total
Probability = 3/10Hence, B shows the probability of showing a yellow sweet.
Part B)Sweets that are not orange = 10 (All sweets are not orange)
Total = 10
Probability = sweets that are not orange / total
Probability = 10 / 10
Probability = 1Hence, D shows the probability of choosing a sweet that is not orange.
[tex]\rule[225]{225}{2}[/tex]
The minimun point on the graph of the equation y=f(x) is -1,-3. What is the minimum point on the graphof the equation y=f(x-5)
The minimum point on the graph of the equation y=f(x-5) is (-6, -3)
How to determine the minimum?The initial minimum is given as:
(-1, -3)
The transformation y = f(x - 5) means that:
(x, y) = (x - 5, y)
So, we have:
(x, y) = (-1 - 5, -3)
Evaluate
(x, y) = (-6, -3)
Hence, the minimum point on the graph of the equation y=f(x-5) is (-6, -3)
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What is the decimal expansion of the following fraction? 1/2
Answer:
the answer is 0.5
Step-by-step explanation:
The answer for this is 0.5
What is the measure of z?
Z
X
y
4
9
z = [ ? ]VI
Answer:
z= [ 5] VI
that is my answer
Which scatterplot shows no correlation?
A graph with both axes unnumbered. A scattered line increases from left to right.
A graph with both axes unnumbered. A scattered line decreases from left to right.
A graph with both axes unnumbered. A short scattered line increases from left to right.
A graph with both axes unnumbered. A line zig zags up and down the graph.
Answer:
The graph has random dots all over
Step-by-step explanation: