Answer:
Slope: -1/3
Y-Intercept: 7
Step-by-step explanation:
slope: -a/b
y=c
The period of the function, y=cos(4x)is how many degrees?
Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. triangle ACB, point D is on segment AC between points A and C, point E is on segment BC between points B and C If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC? AC equals CB times CD all over CE AC = AB AC equals CB times AC all over CE AC = BC
Answer:
AC equals CB times CD all over CE
The lengths of the sides of the scaled drawing can be determined from the
relation between similar triangles.
The expression that will help Jolene determine the length segment AC is the option;
[tex]\displaystyle \underline{CD= \frac{CB\cdot CD}{CE}}[/tex]Reasons:
The given parameters are;
The figure Jolene is trying to create = A scaled up blue print
Given that in ΔACB and ΔABC, we have;
DE and AB are parallel
Therefore;
∠CED ≅ ∠CBA by corresponding angles
∠CDE ≅ ∠CAB by corresponding angles
∠C ≅ ∠C by reflexive properties
ΔCDE ~ ΔACB by Angle-Angle similarity postulate
Therefore, by similar triangles, and triangle proportionality, we have;
[tex]\displaystyle \frac{AC}{CD} = \mathbf{\frac{CB}{CE}}[/tex]
Therefore;
[tex]\displaystyle CD= \mathbf{ \frac{CB\cdot CD}{CE}}[/tex]
Therefore, if segments DE and AB are parallel, the expression that will help Jolene determine the length segment AC is; [tex]\displaystyle CD= \frac{CB\cdot CD}{CE}[/tex]
Learn more about similar triangles here:
https://brainly.com/question/14445094
write four times the sum of a number and one-fourth is less than or equal to nine more the product of two and the number as an inequality
Answer:
4(x + 1/4) ≤ 9 + 2x
Step-by-step explanation:
Which numbers represent the solutions to the inequality below? Check all that apply.
Rationalise the denominator of: -7/(√11 - √5)
[tex] \sf \underline{ \red{Solution - }} \\ [/tex]
Given,
[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]
The denominator is √11 - √5.
We know that
Rationalising factor of √a-√b is √a+√b.
Therefore, the rationalising factor of √11-√5 is √11+√5.
On rationalising the denominator them
[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Multiplying (√11 + √5) with both the numerator of the fraction.
[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]
Writing the squares of the numbers in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]
Performing subtraction in the denominator.
[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]
Hence, the denominator is rationalised.
420 seconds to 10 minutes
Answer:
420 seconds is equal to 7 min
So 7 to 10 or 7 : 10
pls brainliest
These are the steps that you should follow in order to make the necessary calculations to convert 420 Seconds to Minutes. In order to convert from [s] to [min], we have to devide the amount of Seconds by 60.
Then the second step, is to substitute the amount of Seconds with the value of 420 and calculate the division. After successfuly calculating it the result should for 420 Seconds to Minutes should be 7
So 7 to 10 or 7 : 10
Hope this helped!
Have a great day
Holly's soccer team is trying to raise $2,100 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $30 for the breakfast. How many people need to attend their breakfast in order to raise $2,100?
Answer:
70 people
Step-by-step explanation:
30 dollars for each person, so you divide 2,100 by 30 to find how many people.
2,100/30=70
Answer:
70
Step-by-step explanation:
Target=$2,100
Money Earned from a single person=$30
Number of persons=$2,100 /$30 = 70
Thus, 70 people need to attend their breakfast in order to raise $2,100
Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24
cm. THe length of the longest side of triangle STU is 92 cm. What is the perimeter of
triangle STU?
Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale
Given the linear equation r=-2.5 t and t can only be a negative number, what quandrant will the r coordinate be located?
Answer:
quadrant 4 i think
Step-by-step explanation:
Answer:
Actually the correct answer is 2
Step-by-step explanation:
complete the simpliflication:
please help giving brainlest
Answer:
Step-by-step explanation:
What happens when an electrically charged pencil is placed close to water running from a faucet?
The pencil attracts the water.
The pencil becomes positively charged.
The water attracts the pencil.
The water repels the pencil.
Look at the point in the picture. What is the y coordinate?
(3,-2)
Answer:
-2
Step-by-step explanation:
It's (x,y)
Here, (3,-2)
-2 is y
:)
Solve for n
n - 17=3
Answer:
N=20
Step by Step:
First you add 17 to both of the sides:
N−17+17=3+17
Second, you simplify;
N=20
Brainiest please?
Answer:D
Step-by-step explanation:
Predict what you will see at the end of your experiment in part C. How would these results demonstrate fossilization? (Image just in case)
Answer:
The fossils would look weird and sometimes they might not be the exact shape as before because they've grown with the earth meaning they're going to come out of the ground go back under and what not, Its hard to tell how deep a fossil can be in the ground because of how many years ago it was because how much the earth has grown.
Step-by-step explanation:
In a neutral atom that has an atomic mass of 22 and atomic number of 12, how many neutrons does this element have?
Given :
In a neutral atom that has an atomic mass of 22 and atomic number of 12.To Find :-
The number of neutrons .Solution :-
As we know that,
n(neutrons) + n(protons) = A n(neutrons) + 12 = 2 2n(neutrons) = 22-12n(neutrons) = 10Hence the required answer is 10.
Answer:
10 neutrons
Step-by-step explanation:
no.of neutrons = atomic mass - Atomic number
no.of neutrons= 22-12
=10
what is 4+4
This is for
ThomasBrennan1
Answer:
8
Step-by-step explanation:
1+1+1+1+1+1+1+1=8
take 4 ones and group them into 2 groups gives you 8
please help me i dont know the answer to both of these.
Answer:
The answer for the first one is D: Multiply x by 5 and 2 by 5.
The answer for the second one is: A: There are infinitely many solutions.
Step-by-step explanation:
I am doing Linear equations right now in school lol
jerome completes 8 extra credit problems and then 4 problems each day until the worksheet is done.28 problems is on the worksheet.
Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
speed and by how much. Show work.
Answer:
Car a is moving at 15 miles per hour
Its slope is 15/1
Its equation is y = 15x
Car b is moving at 7.5 miles per hour
Its slope is 7.5
Its equation is y = 7.5x
Car a is moving twice as fast as car b
Step-by-step explanation:
But here's how you solve
Chose 2 points and find the change in y and change in x, then divide in the same order.
Point 1: (1, 15)
Point 2: (2, 30)
Change in y = 15
Change in x = 1
y = miles
x = hours
15 miles/1 hour
You can also do this
Pick a point and just divide it's y by its x. For example:
(4, 60)
60 miles/4 hours
15 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 15x + 0
or just y = 15x, because there is no y-intercept
Now let's solve for car b:
Chose a point:
(3, 22.5)
Divide its y by its x
22.5/3
7.5
Car b is moving at 7.5 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 7.5x + 0
or just y = 7.5x, because there is no y-intercept
Compare the speeds
Car a: 15 mph
Car b 7.5 mph
15 > 7.5
So, Car a > Car b
15/7.5 = 2
So Car a moves twice as fast as Car b
What is the correct standard form for 500 + 6 + 0.09 + 0.003.
Answer:
Your answer is 506.093.
Step-by-step explanation:
Hope this helps!
The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints. Use only decimal form, if necessary.
The equation is y =
Answer:
y=2.5x
Step-by-step explanation:
We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.
To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.
Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.
m= Slope (rate of change).
=Difference between two y-coordinates.
=Difference between corresponding x-coordinates of the y-coordinates.
Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,
The slope of our given line is 2.5.
Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).
Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,
Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,
Therefore, the equation will give the number of servings y in x pints.
Pat's English class is located in the same quadrant as the gym. Which of the following could be the coordinates of the English classroom? (4 points) ASAP
(2, 5)
(−2, 5)
(−2, −5)
(2, −5)
Answer its (-2,5)
if its on q2
A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles
Answer: The Van needs 18 gallons of gas to travel 360 miles.
3 m
6 m
6 m
10 m
Perimeter:
Area:
Answer:
perimeter-3+6+3+10+6+4=32m
area- 10×6=60m²
help please, please anybody
Answer:
the answer is the third one 3
Multiply
(-4-71)(3 – 52)
Enter your answer, in standard form
Which term of ap 30,27,24is0
Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5 in y = 4x - 1?
A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…
Answer: y = -3/4x - 15/2
Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b
-9 = -1.5 + x
x = -15/2
A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?
14.66 square inches
25.66 square inches
7.33 square inches
49 square inches
Answer:25.66 in^2/slice. Except for mine. It is 123.34 in^2.
Step-by-step explanation:
Area = pi*r^2
Area = 153.94 in^2
(153.94 in^2)/6 = 25.66 in^2
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Need help please"....."
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]