Answer:
y
=
−
3
x
2
+
30
x
−
71
Explanation:
the equation of a parabola in
vertex form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−
where
(
h
,
k
)
are the coordinates of the vertex and a
is a multiplier
here
(
h
,
k
)
=
(
5
,
4
)
⇒
y
=
a
(
x
−
5
)
2
+
4
to find a substitute
(
7
,
−
8
)
into the equation
−
8
=
4
a
+
4
⇒
a
=
−
3
⇒
y
=
−
3
(
x
−
5
)
2
+
4
←
in vertex form
distributing and simplifying gives
y
=
−
3
(
x
2
−
10
x
+
25
)
+
4
y
=
−
3
x
2
+
30
x
−
75
+
4
⇒
y
=
−
3
x
2
+
30
x
−
71
←
in standard form
Step-by-step explanation:
PLEASE HELP
Jennifer walks 9 blocks south and 5 blocks west. Approximately how many blocks is she from
home if she were to take a direct path?
Answer:
10.3 (Rounded up)
Step-by-step explanation:
Pythagorean's theorem.
a^2 + b^2 = c^2
You're finding c^2, which is the direct path she would take to get back home. 9^2 + 5^2 is 81 + 25 = 106. Square root of 106 is 10.3 rounded up.
Help me please...
Mary took 7 hours to read 210 pages
the relationship between x, the number of hours she reads, and y,the number of pages read was 1x=30y.
How long will it take Mary to read 80 pages at the same reading rate? Show or explain how you got your answer.
Answer:
2 2/3
Step-by-step explanation:
80/30=8/3=2 2/3
a major Fishing Company does its fishing in a local League the first year of the company's operation it managed to catch 190000 fish due to population decreases the number of fish the company was able to catch decreased by 8% each year how many total fish did the company catch over the first 12 years round to the nearest whole number
I'm a little bit confused about how to approach this can someone help?
Answer:
4
Step-by-step explanation:
ΔABC is congruent with ΔDEF. That means the corresponding sides are congruent.
Look at the order of the letters. EF are the last two letters of ΔDEF. So this corresponds with the last two letters of ΔABC. Therefore, EF ≅ BC.
EF ≅ BC
x² + 8x = 48
x² + 8x − 48 = 0
(x + 12) (x − 4) = 0
x = -12 or 4
Since x can't be negative, x = 4.
hey guys what is point Q on this one??
Answer:
Letter c is the answer
Step-by-step explanation:
Hope this helped!!
I need both will give brainliest.
Answer:
Step-by-step explanation:
Standard form: Ax+By=C
Change C to 53
Ax+By=53
He could have added a combination of $1 bills and $5 bills or just $1 bills.
I hope this is right
A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?
Area = l × w
= 6.5 × 4
= 26 feet2
Answer:
[tex]A_f=11~inches[/tex]
Step-by-step explanation:
Area of a Rectangle
A rectangle of width W and height H has an area of:
A = W.H
We have one rectangle inside another. The first rectangle corresponds to the frame and its contents. The second rectangle corresponds to the photograph.
The area of the frame without its contents is the difference between both areas:
[tex]A_f = A_e-A_i[/tex]
Where Ae is the external area of the frame, and Ai is the internal frame of the photograph.
The frame has W=4 inches and L=6.5 inches, thus:
[tex]A_e=4~inches*6.5~inches[/tex]
[tex]A_e=26~inches[/tex]
The photograph has W=3 inches and L=5 inches, thus:
[tex]A_i=3~inches*5~inches[/tex]
[tex]A_i=15~inches[/tex]
The area of the frame is:
[tex]A_f = 26 - 15 = 11~inches[/tex]
[tex]\mathbf{A_f=11~inches}[/tex]
Triangle QRS has the angle measures shown.
What is the measure of the obtuse angle?
18
54
108
216
Answer:
C. 108Step-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.Correct choice is
C. 108Answer:
108
Step-by-step explanation:
Write and equation that represents the graph
Answer:
Assuming this is slope intercept form: y= 6/5x+-5
Step-by-step explanation:
8. A rectangle's sides are measured to be 6.2 cm and 9.3 cm. What is the
rectangle's area rounded to the correct number of significant digits? *
9.3 cm
6.2 cm
Are the triangles similar? If so, determine the scale factor of POR and EFD? A) No B) Yes; 2:1 C) YES;4:5 D) Yes; 17:10
Answer:
C) yes
Step-by-step explanation:
Can someone help me with this problem
Answer:
x = 43
Step-by-step explanation:
lines were parallel, then 143 would have to congruent to the vertical angle of 3x + 14
this means that 143 would have to be congruent to 3x + 14
so we can set the equation to 3x + 14 = 143
subtract 14 from both sides: 3x = 129
divide both sides by 3: x = 43
hye guys i ned help
how do you muiltply dobule digits lik 10x11 help!!!!!!!!!11!
Answer: 11 x 10 = 110.
Step-by-step explanation: you can use a calculator for these types of problems
Answer:
One way is that you do across multiplication so if you did that for 10x11 that'll equal 110
Step-by-step explanation:
Najenda has $17.25 in her pocket and several twenty dollar bills in her purse she has a total of $297.25 . write and solve an equation to show how many bills she has
40% of attendees at Martika's wedding order
the steak for dinner. There are 160 people eating
steak. How many people will be at the wedding?
Answer:
400 people
Step-by-step explanation:
equation: 40/100 = 160/x
cross multiply: 40 * x = 100 * 160
multiply: 40x = 16000
divide each side by 40: x = 400
there is 400 people
I hope this helped, please mark Brainliest, thank you !!
HELP I will give Brainliest!
Find the measure of the angle indicated.
Answer:
60 degrees.
Step-by-step explanation:
Do you see those red points on the lines? Those red arrows indicate that the lines are parallel, meaning, when there's a line crossing through two parallel lines, are vertical and adjacent angles are the same.
In this case, 11x-6 is equal to 10x.
11x-6 = 10x
-6 = -1x
divide -x both sides, you get x = 6.
Now you know that 11x - 6 = 60, because 11x - 6 = 10x, and since x = 6, 10x = 60.
---------------------------------------------------------------------------------------------------------
Since 10x is on a straight line, the angle next to it adds up to 180, so...
10x + y = 180.
We know that 10x = 60, so 60 + y = 180.
subtract both sides by 60, you get y = 120.
Now, you solved the whole graph.
Brainlist thingy and 20
Kong took %15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds.
How many seconds did Nolan take?
Answer:
Nolan takes 100s
Step-by-step explanation:
x = x - 15x/100
x = 0.85x
x = 85/0.85
x = 100s
john bikes at a speed of 10 miles per hour
the route john took yesterday took him 1.5 hours how long was the route
Answer:
15 miles
Step-by-step explanation:
10x1.5=15
Answer:
15 miles
Step-by-step explanation:
Distance = Speed x Time
= 10 mph x 1.5 h
A flagpole is 15 feet tall. Its shadow is 20 feet long. How far is it from the top of the flagpole to the end of the shadow?
Answer:
5 feet.
Step-by-step explanation:
The angle of the height and length go down to 5 feet diagonally.
Answer:
25ft
Step-by-step explanation:
To find the length of the top of the flagpole to the end of the shadow, you have to use the Pythagorean theorem a² + b² =c²
15² + 20² = x²
225 + 400 = x²
625 = x²
√625 = √x²
x = 25
Given congruent triangles ΔRST ΔLMN where MN = 33, LN = 54, and RT = 4x+6 . Find the value of x
Answer:
x=12
Step-by-step explanation:
We know that both triangles are congruent meaning corresponding parts are equal. We know that line LN=54 and that RT=LN meaning that RT also equals 54. With that information we can simply subtract 6 from 54 to get 48 then divide by 4 to get 12. Hope this helps!
Hank deposits money in an account that pays
1.5% simple annual interest. He earns $50.25
interest in the first year. How much money did
he deposit?
Answer:
principal = $3350
Step-by-step explanation:
principal = interest / (rate x time)
principal = 50.25 / (0.015 x 1)
principal = 50.25 / 0.015
principal = 3350
please help me to solve this problem
Answer:
x=3
Step-by-step explanation:
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
To Solve:
[tex] \large\rm{ { \dfrac{3}{5} }^{x} . { \dfrac{5}{3} }^{2x} = \dfrac{125}{27} }[/tex]Solution:
[tex] \large\rm{ \leadsto { \dfrac{5}{3} }^{ - x}. { \dfrac{5}{3} }^{2x} = \dfrac{5 {}^{3} }{3 {}^{3} } } [/tex]
[tex]\large \rm{ \leadsto \dfrac{5 {}^{2x - x} }{ {3}^{2x - x} } } = \dfrac{5 {}^{3} }{ {3}^{3} } [/tex]
[tex]\large \rm{ \leadsto \dfrac{5 {}^{x} }{ {3}^{x} } = \dfrac{5 {}^{3} }{ {3}^{3} } }[/tex]
[tex] \large\rm{ \leadsto { \bigg( \dfrac{5}{3} \bigg) }^{x} = \bigg( \dfrac{5}{3} \bigg) ^{3} }[/tex]
Then,
[tex] \large{ \boxed{ \rm{x = 3}}}[/tex]The required value of x is 3.
⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
Power is measured in which unit? joules watts meters per second newtons per meter
Answer:
watts
Step-by-step explanation:
watt
hope this will help u
The standard unit for the measurement of power is known as: B. Watts.
What is measurement?Measurement is a process through which the size, magnitude or other physical quantities that are associated with an object is taken, especially for the purpose of a scientific research (experiment).
In Science, some of the standard unit of measurements with the correct physical quantities include the following:
Energy: Joules.Velocity: meters per second.Pressure: newtons per meter.Power: Watts.In conclusion, we can deduce that Watts is the standard unit for the measurement of power.
Read more on power here: https://brainly.com/question/23901751
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Meteorology A Weather forecaster uses a barometer to measure air pressure and make weather predictions. Suppose a standard mercury barometer reads 29.8 in. The mercury rises 0.02 in. And then false 0.09 in . The mercury falls again 0.18 in. Before rising 0.07 in. What does the word "rise" suggest? What does the word "fall" suggest?
Answer:
rise : atmospheric pressure increases
fall : atmospheric pressure decreases
Step-by-step explanation:
In the context, it is given that a weather forecaster takes the help of the barometer to check the air pressure and predicts the weather. The column of mercury level in the barometer shows a rise or fall in the glass tube as the weight of the atmosphere falling on the mercury surface changes.
Here it is given that the mercury rises for 0.02 in, then it falls 0.09 in, it then rises by 0.07 in and then again falls by 0.18 in. The word "rise" here shows that the weight of the atmosphere is more. In other words, increase in atmospheric pressure increases the level of mercury in the glass tube and the decrease in or "fall" in the mercury level shows the drop in atmospheric pressure.
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52.
Item Price Per Pound.
Fruit Chews. $4.70
Jelly Beans. $2.35
Chocolate. $3.50
If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answer:
10.85
Step-by-step explanation:
1.6 x 4.70 + 2.6 x 2.35 = 7.52 + 6.11 = 13.63 + .52 = 14.15
25 - 14.15 = 10.85
Jake has $10.85 dollars left
Please help I need this answered. Find x and explain. I’ll give brainliest.
Answer:
I dont know what you mean by find x but if you want to find x you have to isoulat the varubal.
Step-by-step explanation:
7 1/4 + 6 2/5 = ANSWER ME!!!!!! PLS
Answer:
13.65
Step-by-step explanation:
In 56 years, Kevin will be 999 times as old as he is right now.
Answer:
55,944
Step-by-step explanation:
Answer:Wont that mean he would be dead? Or is he like a type of animal that lives for a very long time?
Step-by-step explanation:
Someone please help me I don’t understand!!!!
Answer:
y= 2x+3
Step-by-step explanation:
what number must be added to the expression below to complete the square x^2+8x-5=15
Answer:
Add 16 to both sides.
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlgebra I
Completing the Square: b/2aStep-by-step explanation:
Step 1: Define expression
x² + 8x - 5 = 15
Step 2: Solve
Isolate x terms: x² + 8x = 20Complete the Square: (x² + 8x + 16) = 20 + 16Simplify: (x + 4)² = 36