Answer:
[tex]a=-\frac{2}{3}[/tex]
Step-by-step explanation:
We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:
[tex]y=3x+8[/tex] and
[tex]y=\frac{a}{2}x-2.5[/tex]
The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:
[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]
I hope this helps! Let me know if you have any questions :)
Please help image attached
Answer:
hope it helps mark as brainliest
Find the perimeter of this quarter circle with radius,
r
= 2mm.
Give your answer as an expression in terms of
π
.
Answer:
pi
Step-by-step explanation:
First find the circumference of the circle
C = 2 * pi*r
C = 2 * pi *2
C = 4pi
A quarter circle is 1/4 of a circle
1/4 C = 1/4 (4pi)
1/4C = pi
Which expression is equivalent to 5^6?
80ft
18ft
what is the length of the hypotenuse in feet?
Answer:
Solution given:
perpendicular [P]=80ft
base[B]=18ft
hypotenuse [H]=?
By using Pythagoras law
H²=P²+B²
H²=80²+18²
H=[tex]\sqrt{6724}=82[/tex]
the length of the hypotenuse in feet is 82ft.
a graph of a non-vertical straight line is a?
a) nonlinear function
b) exponential function graph
c) non-function
d) linear function
Answer:
The correct answer is d
Step-by-step explanation:
A graph of a non-vertical straight line is a linear function
What is the end behavior of (x, 1) and (5x, -3)?
Answer:
The leading term is 5x8. Since n is even and a is positive, the end behavior is down and up.
Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?
Answer:
12
Step-by-step explanation:
because you replace 8 with 3
3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.
Answer:
Step-by-step explanation:
[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]
x = -3 , 7
Step-by-step explanation:f (x) = g(x)
x ² − 8x −15 = −4x + 6
x ² − 8x − 15 + 4x − 6 = 0
x ² −4x−21 = 0
x ² −7x + 3x −21 = 0
x ( x − 7 ) + 3( x − 7 ) = 0
( x + 3 ) ( x − 7 ) = 0
x = −3, 7
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.
What is the angle measure of the turn that the key made?
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Answer:
156° or 13π/15 radians
Step-by-step explanation:
156 times 1° is 156°.
In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5
side lengths and angle measures in similar figures
Step-by-step explanation:
You can see the full detailed explanation in the attached files
I really need help! Please find the area of the polygon?
Answer:can you help me
write a letter to your friend about important of reading books?
Answer:
Area = 189 m^2
Step-by-step explanation:
This is a trapezium with height h=9m, base, b = 24, top, t = 18.
The area is given by
A = (base+top)*height/2
= (24+18)*9/2
= 189 m^2
a patient is advised to supplement her diet with 3g of calcium per day. The calcium tablets she purchases 300mg per tablet. How many tablets should the patient take per day?
Answer:
Number of tablet needed = 1 tablet
Step-by-step explanation:
Given:
Amount of calcium per day needed = 3 gram
Amount of calcium in a tablet = 300 mg
Find:
Number of tablet needed
Computation:
Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet
Number of tablet needed = 3gram / 300 milligram
Number of tablet needed = 300 milligram / 300 milligram
Number of tablet needed = 1 tablet
Calculate a positive co-terminal angle for θ=40°
Answer:
400
Step-by-step explanation:
angles that are coterminal with the angle 400? => 4000 and 7600 are two positive coterminal angles.
QUESTION 5 of 10: You have a choice of a $2,000 rebate on a $13,000 vehicle or 18% off. Which is better?
O a) Rebate
Ob) 18% off
Submit
C2021 Knowledge Matters, Inc.
Lesson
Estimated time: 60 minutes
Answer:
18% off
Step-by-step explanation:
i just took the test
Solve the system of equations given below. y - 15 =3x and -2 + 5y = -3
Answer:
y-15=3x balakaksnzujsbhzbskndh
Answer:
x = - 6 , y = - 3
Step-by-step explanation:
y - 15 = 3x => y = 3x + 15 ------- ( 1 )
-2x + 5y = - 3 --------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
-2x + 5 ( 3x + 15) = - 3
-2x + 15x + 75 = - 3
13x = - 3 - 75
13x = - 78
x = - 6
Substitute x in ( 1 ) :
y = 3x + 15
= 3 ( - 6 ) + 15
= - 18 + 15
y = - 3
PLEASEEEE HELPPPPP IM BEGGING SOMEONE HELPPP PLEASEEEEEEEEE PLEASEEEEEEEE
Answer:
x = -1
y = 6
Step-by-step explanation:
We can multiply the second equation by two, so we can have opposite y terms:
2 (3x - 2y = -15)
6x - 4y = -30
Now, we can add the equations, and the y terms can cancel out:
7x + 4y = 17
+ 6x - 4y = -30
13x = -13
x = -1
Now, we can plug in x:
3(-1) - 2y = -15
-3 - 2y = -15
-2y = -12
y = 6
Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?
Answer: 8
Step-by-step explanation
Answer:
$8
Step-by-step explanation:
If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.
[tex]-20-10+38=8[/tex]
What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?
–1
0
5
undefined
Undefined.
All lines that are parallel to the y-axis have an undefined slope.
Answer:
This is an Undefined Slope
the Satya Vansh become an important dynasty in the world of
Answer: it’s 352425262625251452 is 4th of July and I am present
Step-by-step explanation:
3 cm
8 cm
Find surface area of cylinder
Answer: [tex]66\pi \text{ cm}^{2[/tex]
Step-by-step explanation:
[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]
WILL MARK YOU IF YOU HELP ME PLEASE!!
Answer:
84
Step-by-step explanation:
180-72-24
so the answers is 84
Answer:
84
Step-by-step explanation:
In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.
72+24=96
180-96=84
Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.
Answer:
sylvia is 14 and brother is 7
Step-by-step explanation:
theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7
The function f (t) = 310(0.2)24t represents the change in a quantity over 7 days,
What does the constant 0.2 reveal about the rate of change of the quantity?
the rate percentage
Answer:
80% decrease in the quantity over 7 days
Step-by-step explanation:
Given data
We have the function
f (t) = 310(0.2)24
the above function is similar to the exponential function
f (t) = P(1±r)^t
Now the value 0.2
This means that there is 80% decrease in the quantity over 7 days
shudjendndnndndjfjjjjfndjdndnjdjdjdj
Answer:
the answer is 31°...........
PLZ SOLVE. DONT BE WRONG PLEASEEEE I NEDD ED THIS
Answer:
288
Step-by-step explanation:
Take the area of every individual section, and add them together.
24
24
100
80
60
how do u solve this problem 1 1/4 x 42/3
Answer:
17.5
Step-by-step explanation:
{ 1 [tex]\frac{1}{4}[/tex] = 5/4 }
1 [tex]\frac{1}{4}[/tex] * 42/3 = 5/4 * 42/3
= 210/12
= 17.5
Calculate the standard deviation of the following data.
23, 19, 28, 30,22 Standard Deviation = 3.68
Standard Deviation = 8.12
Standard Deviation = 4.13
Standard Deviation = 4.03
The standard deviation of the data will be;
⇒ 4.13
What is Standard deviation?
Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The data set is,
⇒ 23, 19, 28, 30, 22
Now,
Since, The data set is,
⇒ 23, 19, 28, 30, 22
Hence, The mean = 23 + 19 + 28 + 30 + 22 / 5
= 122/5
= 24.4
So, The standard deviation is;
√ (23 - 24.4)² + (19 - 24.4)²+(28 - 24.4)² + (30 - 24.4)² + (22 - 24.4)²/ (5-1)
⇒ √ 1.96 + 29.16 + 12.96 + 31.36 + 5.76 / 4
⇒ √ 81.2/4
⇒ √20.3
⇒ 4.13
Thus, The standard deviation of the data will be;
⇒ 4.13
Learn more about the standard deviation visit:
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To calculate the standard deviation of the data set, we can use the formula:
$$ \sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n} (x_i - \mu)^2} $$
Where:
$x_i$ is each data point
$\mu$ is the mean of the data set
$n$ is the number of data points
For the data set given, the mean is $\mu = 24.4$
Plugging in the values into the formula, we get:
$$ \sigma = \sqrt{\frac{1}{5}\sum_{i=1}^{5} (x_i - 24.4)^2} = \sqrt{\frac{1}{5}( (23-24.4)^2 + (19-24.4)^2 + (28-24.4)^2 + (30-24.4)^2 + (22-24.4)^2 )} $$
After evaluating the expression, we get:
$$ \sigma = \sqrt{\frac{1}{5}(1.96 + 5.76 + 3.36 + 5.76 + 0.36)} = \sqrt{\frac{1}{5}(18.2)} = \sqrt{3.64} = 1.91 $$
So the standard deviation of the data set is 1.91.
To learn more about data set please click on below link.
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Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
60 units
11 units
90 units
61 units
Answer:
90
Step-by-step explanation:
Consider the graph of g(x) = –2x2 + 8x – 10. Identify the y-intercept, the vertex, and the zeros of the function.
Question 10 options:
A)
y-intercept: (0, 10); vertex: (–2, 2); zeros: none
B)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0) and (4,0)
C)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0)
D)
y-intercept: (0, –10); vertex: (2, –2); zeros: none
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Answer:
D) y-intercept: (0, -10); vertex: (2, -2); zeros: none
Step-by-step explanation:
The graph does not cross the x-axis, so there are no real zeros. It crosses the y-axis at (0, -10), so that is the y-intercept.
These observations match choice D.
