Answer:
proved that x=9
Step-by-step explanation:
A line that splits an angle into two equal angles. ("Bisect" means to divide into two equal parts)
so <CAB=<DAB
7x+2=5(x+4)
7x+2=5x+20
7x-5x=20-2
2x=18
x=9
Lisa runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? How do I solve???
Answer:
About 4.5
Step-by-step explanation:
First, divide 28 by 3, round to closest number (2 numbers after the decimal) then take 42 divided by that number (9.33), and you get about 4.5
Hope this helped!
Ana runs 3/4 miles in 6 minutes, or 1/10 hour. Assuming she runs a constant rate what is er speed, in miles per hour?
Answer:
Ana runs at a speed of 7.5 miles per hour
Step-by-step explanation:
Speed
Is the rate at which the distance changes in time.
The formula to calculate the speed is:
[tex]\displaystyle v=\frac{d}{t}[/tex]
Where d is the distance traveled in time t.
We know Ana runs a distance of d=3/4 miles in 6 minutes, already converted to t=1/10 hours.
Thus, the speed is calculated as follows:
[tex]\displaystyle v=\frac{\frac{3}{4}}{\frac{1}{10}}[/tex]
Multiplying by the reciprocal of the denominator:
[tex]\displaystyle v=\frac{3}{4}\cdot \frac{10}{1}=\frac{30}{4}[/tex]
v=7.5 mile/h
Ana runs at a speed of 7.5 miles per hour
If the function h(x) is defined by h(x) = 2x? - 7x-12 then which of the following values of x solves the
equation h(x) = 10?
(1) x = -2
(3) x = 48
(2) x = 5
(4) x = 118
Answer:
x=-2 solves the equation h(x)=10.
Step-by-step explanation:
Given the function
[tex]h\left(x\right)\:=\:2x^2\:-\:7x-12[/tex]
Putting [tex]h(x)=10[/tex] in the function
[tex]10=2x^2-7x-12[/tex]
switch both sides
[tex]2x^2-7x-12=10[/tex]
add 12 to both sides
[tex]2x^2-7x-12+12=10+12[/tex]
[tex]2x^2-7x=22[/tex]
Divide both sides by 2
[tex]\frac{2x^2-7x}{2}=\frac{22}{2}[/tex]
[tex]x^2-\frac{7x}{2}=11[/tex]
Rewriting in the form x²+2ax+a²
[tex]\mathrm{Add\:}\left(-\frac{7}{4}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=11+\left(-\frac{7}{4}\right)^2[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\left(x-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
slove
[tex]x-\frac{7}{4}=\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{\sqrt{225}}{\sqrt{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=\frac{11}{2}[/tex]
solving
[tex]x-\frac{7}{4}=-\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=-\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=-\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=-2[/tex]
The solutions to the quadratic equation are:
[tex]x=\frac{11}{2},\:x=-2[/tex]
Therefore, x=-2 solves the equation h(x)=10.
Tara bought a 1.8-acre lot. She is going to have to sod put on 0.6 of the lot.
Which grids show the correct shading to model the multiplication?
I think c???? because yeah dsfiesnfgb
Answer:
i have that same Question
Step-by-step explanation:
What equation of the line is parallel to y=4x-9
Answer:
y= 4x (any number negative or positive except -9)
Write this on your paper:
y = 4x +1
When a rock is dropped on Earth, the time in seconds it takes the rock to fall d meters is modeled by √0.45d. When a rock is dropped on the moon, the time in seconds it takes the rock to fall d meters is modeled by √1.11d. Does it take more time on Earth or on the moon for a rock to fall 50 meters? Show your work.
Answer:
It takes more time on moon for the rock to fall.
Step-by-step explanation:
Given that:
Time it takes for rock to fall d meters on earth = √0.45d
Time it takes for rock to fall d meters on moon = √1.11d
For a rock to fall 50 meters:
On earth :
Time = √0.45*50 = 4.7434164 seconds
On moon :
Time = √1.11*50 = 7.4498322 seconds
Time on moon > Time on earth
Hence, It takes more time on moon for the rock to fall.
Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Step-by-step explanation:
According to trigonometry identity;
Cos 30° = √3/2
To get the expression equivalent to 30°, we will take the inverse of both sides as shown;
Cos^-1(cos 30°) = cos^-1(√3/2)
The arccos will cancel out the cos on the left hand side of the equation to have;
30° = cos^-1(√3/2)
Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
the Answer is A
Step-by-step explanation:
Edge 2020
I really need help plz ok
Answer:
n = 12
Ava has 12 times as many eggs as Cole
Step-by-step explanation:
May I have brainliest please? :)
Please help me with this
Answer:
30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=30
Felix has a bucket of golf balls. The table shows the number of times each color of golf ball was drawn. Based on the information in the table, in how many of the next 180 draws should the outcome be expected to be white? Round your answer to the nearest whole number if needed
11 x (9-3)
I need HELP NOW U WILL GET BRANLIEST
Answer:
your answer is 96
Step-by-step explanation:
hope this helps
Answer:
66
Step-by-step explanation:
9-3=6
6 x 11=66 :))))
The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.
Answer:
Step-by-step explanation:
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
PLS HELP ME IM.BAD AT THIS
Answer:28.8
Step-by-step explanation:
Please answer this!!
Answer:
3,724 cubic inches
Step-by-step explanation:
All you have to do is multiply 19•14•14
What is produced during the replacement reaction of Cu(NO3)2 and Zn? ZnNO3 + Cu Zn + Cu(NO3)2 ZnCu + 2NO3 Zn(NO3)2 + Cu
Answer:
D. Zn(NO3)2 + Cu
Step-by-step explanation:
The correct chemical equation for the replacement reaction of Cu(NO3)2 and Zn is:
Zn + Cu(NO3)2 → Zn(NO3)2 + Cu
What is a replacement reaction?A replacement reaction is a chemical reaction in which an element displaces or replaces another element in a compound. In other words, one element takes the place of another element in a compound.
The general equation for a replacement reaction is:
A + BC → AC + B
We have,
The reaction between copper nitrate (Cu(NO3)2) and zinc (Zn) is an example of a single replacement or displacement reaction, which involves the replacement of one element in a compound by another element.
In this reaction,
Zinc (Zn) reacts with copper nitrate (Cu(NO3)2) to form zinc nitrate (Zn(NO3)2) and solid copper (Cu).
The reaction is driven by the relative reactivity of the metals involved.
Zinc is more reactive than copper, which means that it has a greater tendency to lose electrons and form positive ions.
Copper, on the other hand, is less reactive and has a greater tendency to stay in its elemental form.
When zinc is added to copper nitrate solution, the zinc atoms lose electrons and become positively charged ions, while the copper ions in the solution gain electrons and become solid copper.
The zinc ions then combine with nitrate ions (NO3-) from the copper nitrate solution to form zinc nitrate, which remains in the solution.
The balanced chemical equation for the reaction shows that one molecule of zinc (Zn) reacts with one molecule of copper nitrate (Cu(NO3)2) to form one molecule of zinc nitrate (Zn(NO3)2) and one molecule of solid copper (Cu).
Thus,
The correct chemical equation for the replacement reaction of Cu(NO3)2 and Zn is:
Zn + Cu(NO3)2 → Zn(NO3)2 + Cu
Learn more about replacement reactions here:
https://brainly.com/question/31262369
#SPJ7
Can someone look at this please. Thank you
Please help !!!!! Don’t answer if you just want to scribble . Imagine how you would feel if it were you .
Answer:
m= -3
b= 4
Step-by-step explanation:
whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.
Hope this helps!!!
PLEASE HELP!!!
HSJSHGXDBSJHCBDSHDCB PLEASEE
Answer:
you can give her brainliest now c:
Step-by-step explanation:
Drag the tiles to the boxes to form correct pairsMatch the expressions with the property used to generate
Answer:
wheres the question??
Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced offer?
Aqua Plus has the lower cost of $239.88 per year.
Water World has the lower cost of $239.88 per year.
Aqua Plus has the lower cost of $19.44 per month.
Water World has the lower cost of $19.44 per month.
Answer:
water world give lower priced offer
Step-by-step explanation:
Offer given by Aqua Plus
two-year membership for $479.76
it means,
for 24 month=$479.76
For 1 month=$
For 1 month membership Aqua Plus take $19.99
Now Offer given by Water World
18-month membership for $350.00
it means for 18 month=$350.00
and For 1 month=$
For 1 month membership water world takes $19.44
it means amount taken by water world for 1 month membership is less than the amount taken for 1 month by Aqua plus
Therefore, water world give lower priced offer.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Consider the recursively defined function below
Create the first five terms of the sequence defines by the given function
Answer:
So, the first five terms of the sequence defined by the given recursive function are shown below.
F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15
written on plato
Step-by-step explanation:
Solve for x
-2x+8y=20
Answer:
X=-6
Step-by-step explanation:
-2 times -6= 12 12+8=20
The tables represent the functions f(x) and g(x).
A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15.
Which input value produces the same output value for the two functions?
Hint, because the tables are incomplete, you will need to solve by setting the equations equal to each other.
A. x = -12
B. x = -9
C. x = -6
D. x = -3
Answer:
c
Step-by-step explanation:
Answer:
B) x=-9
Step-by-step explanation:
will give brainly if you help
Answer:
I think it is 0
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
To find the y-intercept from a table all you have to do is find when x is 0 because the y-intercept is (0,5) on a graph
There is a contest at school where students guess how many dimes are in a jar. The person whose guess is closest to the actual value wins the jar. Jeffrey guessed 470 dimes. The actual value is 510. What is Jeffrey's percent error?
Answer:
to go yes back
Step-by-step explanation:
which of the following represents an exponential function
Answer:
what are the options
Step-by-step explanation:
Victor has a part time job. He saves 18% of his monthly income. Victor makes $215 a month. How much money does he save a month?
!!!!really need help!!!!Polygon ABCDEF is rotated 90°, reflected across the line y = -x, and then translated up
3 units and to the left 2 units to produce the image polygon A'B'C'D'EF'. What are the
coordinates of D' ?
Answer:
D'(-4, 1)
Step-by-step explanation:
Polygon ABCDEF is transformed by number of steps given in the question.
We have to find the coordinates of point D'.
Coordinates of point D → (2, -2)
Step - 1,
Polygon rotated 90° counterclockwise about the origin,
Rule for this rotation,
(x, y) → (-y, x)
Coordinates of image E after rotation,
D(2, -2) → E(2, 2)
Step - 2,
Point E then reflected across the line y = -x,
Rule for the reflection,
(x, y) → (-y, -x)
Image of E after reflection will be,
E(2, 2) → F(-2, -2)
Step -3,
Then point F was translated up by 3 units and 2 units left,
Rule for the translation,
(x, y) → (x -2, y + 3)
Image of F will be point D',
F(-2, -2) → D'(-4, 1)
Use the order of operations to simplify 4(3.5-1.5)-1/2
Answer:
7.5
Step-by-step explanation:
4*3.5 = 14
4*-1.5 = -6
14 + -6 = 8
8-1/2 = 7.5
Answer:
7.5
Step-by-step explanation:
Which relation is a function?