Answer:
x = 11.49
Step-by-step explanation:
Apply the pythagorean theorem to find x
Thus:
a² + b² = c²
Where,
a = x = ???
b = 8
c = 14 (hypotenuse)
Plug in the values
x² + 8² = 14²
x² + 64 = 196
x² = 196 - 64 (subtraction property of equality)
x² = 132
x = √132
x = 11.49 (approximated to nearest hundredth)
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
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Solve for x.
(17x –23)
°
(8x –4)
°
(3x + 17)°
Answer:
=28x −10
Step-by-step explanation:
28x
The value of x will be;
⇒ x = 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
Now,
Solve the expression as;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
⇒ 17x - 23 = 8x - 4 + 3x + 17
⇒ 17x - 23 = 11x + 13
⇒ 17x - 11x = 23 + 13
⇒ 6x = 36
⇒ x = 6
Thus, The value of x will be;
⇒ x = 6
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HEEELPPPPP PPLS The second side of a triangle is 8 inches less than the first side. The third side is 14 inches more than the first side. The perimeter of the triangle is 78 inches. Find each side of the triangle.
Answer: ):
Step-by-step explanation:
Answer:
second side is 16
third side is 38
Step-by-step explanation:
x + (x - 8) + (x + 14) = 78
3x + 6 = 78
3x = 78 - 6
3 x = 72
x = 72/3
x = 24
24 + (24 - 8) + (24 + 14) = 78
24 + 16 + 38 = 78
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
You spent $*blank* this month.
Answer:
$45
Step-by-step explanation:
x=1.5(30)
x=45
1.) Look at the figure below.
A
+5
3x
B
What is the measure of ZB?
A 35°
B
71°
С
760
D 105°
Answer:
D
Step-by-step explanation:
Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.
Answer:
it is $2.50 multiplied by 4
Step-by-step explanation:
this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll
What is the answer for 2m + 3m + 8 + 6
Answer:
5m+14
Step-by-step explanation:
Please explain the relationship between a hypothesis and an experiment.
Answer:
A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".
what is v
v−5/6=−7/8
Answer:
here,
v-5/6=-7/8
v=-7/8+5/6
v= -1/24
Write an inequality that represents the verbal expression. 9 less than a number n is less than 17
Answer:
9<n<17.
Step-by-step explanation:
Find the Values of X and Y in the diagram. PLZ HELP
Answer: x is 47, y is 75
Step-by-step explanation:
4. In a normal distribution with u=150, o = 12.5 find P(x < 145).
Answer:
i know it hard but i know u get there
Solve for g: 19 > 2(g + 7.9).
Answer: g < 1 3/5
Step-by-step explanation:
first, i removed the parentheses.
19 > 2g + 15.8
then, i moved the terms.
-2g > 15.8 - 19
the, i calculated that.
-2g > -3.2
finally, i divided both sides.
g < 1.6
the alternative form is g < 1 3/5
(basically, the second answer)
WILL GIVE BRAINLEST PLZZZ HELPP MEEEE
Answer: its C
Step-by-step explanation:
Conic section
For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4
Answer:
Step-by-step explanation:
7[tex]y^{2}[/tex]+[tex]x^{2}[/tex]=64x+y=4First, we isolate the variable on the second equation so that we can have an x solution to plug in:
x=-y+4Now, we plug this in to the first equation:
[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]
We can now put the 7 into the parentheses and then square root the equation:
[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]
We then plug this in to the original equation to find x
[tex]x+-40=4\\x=-36[/tex]
This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else
-19 + 4k - 15k - k -9
Answer:
Let's simplify step-by-step.
−19+4k−15k−k−9
=−19+4k+−15k+−k+−9
Combine Like Terms:
=−19+4k+−15k+−k+−9
=(4k+−15k+−k)+(−19+−9)
=−12k+−28
Answer:
=−12k−28
Step-by-step explanation:
r. Powell just started an experiment. She will collect data for 8 days. How many hours is this?
Answer:
192 hours
Step-by-step explanation:
24 hours = 1 day
8 x 24 = 192
Please help meeeeeee will brainliest
“ Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division”
Answer and equation: If we choose two whole numbers; 8 and 10
We want to divide certain numbers by 8 and 10 to get 9 remainder 5.
In this case; 77 divided by 8 is equal to 9 rem 5
and 95 divided by 10 is equal to 9 rem 5
To justify which is greater, we use decimal division;
= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)
and
= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)
Therefore; the first case is greater since 9.625 is greater than 9.5
That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.
8 times the difference between a number and 6 is equal to 4 times the number.
What is the number?
OA. 12
OB. 4
OC. 16
OD. 48
Answer:
it's either A (12) or B(4) but I think it's 12
Step-by-step explanation:
if we make it into an equation, we get
8(x-6)=4x
8x-48=4x
-48=-4x
-12=-x
x=12
the reason why it might be 4 as well is if we switch the order
8(6-x)=4x
48-8x=4x
48=12x
x=4
So both of those could be correct, but I'm thinking that because they said between a number and 6, then x goes first, so therefore, I think it is 12
9 correct : 15 questions = 45 correct: q questions
please help me
Answer: it should be 75
Step-by-step explanation:
9 times 5 is 45 so 15 times 5 should be 75
(EASY) Which best describes the relationship between the lines?
What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?
Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
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Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?
Answer:
36 to 12
Step-by-step explanation:
subtract 12 from 48 an you get 36 girls
Pls answer I will mark
Answer:
c. 6x - 4 = 8
Step-by-step explanation:
There are three customer service operators manning a helpline: Alex, Bobby, Charlie. Charlie is relatively new and takes one third as many calls as Bobby. Alex handles 6 times as many calls as Charlie.
What proportion of calls does Bobby handle?
Answer:
Bobby answers 30% of all phone calls.
Step-by-step explanation:
To determine the proportion of calls that Bobby answers in the call center, knowing that Charlie handles one third as many calls as him, and that Alex handles six times as many calls as Charlie, the following equivalence must be made:
A = 6 C (1/3B x 6 = 2B)
B = B
C = 1/3 B
2B + B + 1/3 B = 100
3 1/3 B = 100
3.33 B = 100
B = 100 / 3.33
B = 30
Therefore, Bobby answers 30% of calls, Alex answers 60% and Charlie 10%.
What number is 16% of 46
Answer: 7.36
Step-by-step explanation:
16/100 = 0.16
0.16 * 46 = 7.36
What is the length of the line segments with endpoints (-9,5) and (12,5)
A. 12
B. 9
C. 21
D. 10
Answer:
The answer is C
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Nadia is a stockbroker. She earns a 12% commission each week. Last week, She sold $7500 worth of stocks. How much did make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:900
Step-by-step explanation:
what will be the value of d when an airplane flies at 420 miles per hour for three hours?
Answer:
1260 I think
Step-by-step explanation:
because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260
$43 shirt; 6% tax Please Help!!
Answer:
tax is 2.58
Step-by-step explanation:
Answer:
.06 times 43 is $2.53 in tax
Step-by-step explanation: