To write in slope-intercept form, you first need to get y by itself. To do this, subtract 7x from both sides of the equation.
Doing this gets you: y = 25 - 7x
Now that y is by itself, remember that slope-intercept form looks like this: y = mx + b
So, let's switch the right side.
y = -7x + 25
Slope intercept form is: y = -7x + 25
Rules for y in Slope-Intercept form:
y must be positive
y must be by itself (so, not 2y, or anything with it... just y)
please help, i will mark you brainliest :))
Answer:
0.2
Step-by-step explanation:
B is the midpoint of line AC. Which statement best describes the relationship between triangles ABD and CBD?
Answer:
Triangles ABD and CBD are congruent by the SSS Congruence Postulate
Step-by-step explanation:
AB = CB
AD = CD
and BD is the common side.
The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
What are similar triangles?"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."
What are congruent triangles?"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."
What is SSS congruence postulates?"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."
What is SSS similarity postulates?"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."
What is SAS similarity postulates?"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."
What is SAS congruence postulates?"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."
For given question,
We have been given triangles ABD and CBD.
B is the midpoint of line AC
⇒ AB = BC
For triangles ABD and CBD,
side AB = side CB ............(since, B is the midpoint of line AC)
side BD = side BD .............(common side)
side AD = side CD ............(measures 15 units each)
So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.
Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
The correct answer is option (a)
Learn more about SSS postulate of triangle congruence here:
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Simplify 3(5a + b) + 4(a + 2b).
A.) 9a + 5b
B.) 19a + 3b
C.) 19a+11b
D.) 9a + 9b
Answer:
C. 19a + 11b
Step-by-step explanation:
Distribute into the parentheses.
3(5a + b) + 4(a + 2b)
= 15a + 3b + 4a + 8b
Add like terms.
15a + 3b + 4a + 8b
19a + 3b + 8b
= 19a + 11b
Hope that helps.
Hey there!
“Simplify 3(5a + b) + 4(a + 2b)”
FIRST you have to DISTRIBUTE
3(5a + b) + 4(a + 2b)
3(5a) + 3(b) + 4(a) + 4(2b)
3(5a) = 15a
3(b) = 3b
4(a) = 4a
4(2b) = 8b
“15a + 3b + 4a + 8b”
SECOND: COMBINE your LIKE TERMS
(3b + 8b) + (15a + 4a)
(3b + 8b) = 11b ⬅️ BACK number
(15a + 4a) = 19a ⬅️ FRONT number
ALL OF YOUR TERMS/NUMBERS ARE POSITIVE SO WE DON’T HAVE TO FIX ANYTHING
Answer: C. 19a + 11b ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
If a right triangle has a side of length 3 and a hypotenuse of length 9, what is the length of the other side
Answer:
Step-by-step explanation:
in a right triangle a^2+b^2=c^2,
where a and b are the legs
where c is the hypothenuse
9^2= b^2+3^2
81-9=b^2
b^2=72
b=8.48
Answer:
Step-by-step explanation:
Givens
a = ?
b = 3
c = 9
Formula
a^2 + b^2 = c^2
Solution
a^2 + 3^2 = 9^2
a^2 + 9 = 81
a^2 = 81 - 9
a^2 = 72
Now the tricky part. Are you required to give the exact answer which is
a = √72 = 6√2
or should you give
a = √72 = 8.49
The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 98 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the function
c(x) = 18x -10
comparing with the slope-intercept form of the line equation
rate of change = slope = m = 18c(x) or y represents the costAccording to the function equation,
'x' represents the number of ticketsAssuming the total cost i.e. c(x) = $98
In order to determine the value of x, set c(x) = 98
i.e.
98 = 18x -10
switch sides
18x - 10 = 98
add 10 to both sides
18x - 10 + 10 = 98 + 10
18x = 108
Divide 18 to both sides
18x/18 = 108/18
x = 6
Therefore, if you can buy x = 6 if you pay 98 dollars.
Given the graph below, what is the y-intercept(s)? Give your answer(s) as an ordered pair.
Answer:
(0, 4)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line passes the y-axis at y = 4. Therefore, our y-intercept is (0, 4).
The mean of the following frequency distribution is 25.2. Find the missing frequency x.
Class
0 - 10
10 - 20
20 – 30
30 – 40
40 - 50
Frequency
8
x
10
11
9
Answer:
Solution:-
Frequency Distribution Frequency Mid values F*M
0 - 10 8 5 40
10 - 20 x 15 15x
20 - 30 10 25 250
30 - 40 11 35 385
40 - 50 9 45 405
_____________________________________________________
Σf = 38+x Σfm = 1080+15x
______________________________________________________
Given Mean = 25.2
Mean = Σfm/Σf
25.2 = 1080+15x/38+x
25.2 × (38+x) = 1080+15x
957.6+25.2x = 1080+15x
25.2x - 15x = 1080 - 957.6
10.2x = 122.4
x = 122.4/10.2
x = 12
Missing frequency = 12 Answer
Hope it helps.
If you have any query, feel free to ask.
HELP PLEASEEE ASAP WILL GIVE. BRAINLIST
Answer:
width = 2x + 1
Step-by-step explanation:
A = lw
A = 10x² + 5x = 5x(2x + 1) = lw ⇒ w = 2x + 1
What is the solution to his system of linear equations? Y-x=6. Y+x=-10
Answer:
Hi
Step-by-step explanation:
Answer the following problem and simplify the answet
33/10 x 4/11=
Answer:
33/10 × 4/11=6/5
3.3 ×0.3636363636=1.2
Answer:
Answer is 1.2
Step-by-step explanation:
33/10 x 4/11= 6/5
6/5 simplified is 1.2
write as a product: ac^4-c^4+ac^3-c^3
I ran out of time and it erased my work. Sorry.
Saundra has 8 folders on her computer. Each folder has 50 files. How many files are on Saundra's computer?
Answer:
400
Step-by-step explanation:
8 x 50 = 400
Answer:
400 files
Step-by-step explanation:
If each folder has 50 files, you would multiply the number of folders by the number of files. So it would be 50 x 8 which equals 400 files.
A square has a perimeter of 36 millimeters.
What is the area of the square?
Answer:
A=81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
36/4=9
9*9=81
EMERGENCY, EMERGENCY, I WILL GIVE BRAINLIEST
[tex]\frac{1}{4} (2x^{2}-12) = 15[/tex]
Solve for x, do ur steps!!!!!!
What is the value of x in the equation -6 + x = -1? (5 points)
1) -5
2) -7
3) 7
4) 5
Answer:
x = 5
Step-by-step explanation:
This is a simple algebra equation, you can rewrite this equation to look like this x - 6 = -1. Add 6 on both sides to get your x-value which is 5.
Answer:
answer 4 is right, x = 5
Step-by-step explanation:
-6 + x = -1
i) move constants to the right-hand side and change its sign
x = -1 + 6
ii) calculate the sum
x = 5
Solve the system of equations: y = 2x - 5, y=x^2- 5
A. (0, -5) and (2, - 1)
B. (0,5) and (2, 2)
C. (-1,-4) and (3, 4)
D. (-1.-7) and (4,3
Answer:
A
Step-by-step explanation:
both equation is y so
2x - 5 = x² - 5
2x = x²
0 = x² - 2x
0 = x(x-2)
x = 0
x = 2
for x = 0
y = 2x - 5
y = 0 - 5
y = -5
(0,-5)
for x = 2
y = 2x - 5
y = 2(2) - 5
y = -1
(2,-1)
Hello guys, plz help me with this question ASAP! Plz show the working, THANK YOU BROTHER
Answer:
5.5 min
Step-by-step explanation:
At time t=0 you have 72 grams
at time t = 22 min you have 4.5 grams.
Now
4.5/72 = (1/2)^(t/half-life)
and t=22, so
4.5/72 = (1/2)^(22/half-life)
taking log of both sides:
log(4.5/72)=(22/half-life)log(1/2)
solving for half-life gives half-life = 11/2 = 5.5min
translate to algebraic: Two times rhe sum of x and 3
The answer is 2(x+3)
hope it helps!
Answer:
2x + 6
Step-by-step explanation:
2(x +3)
2x +6
multiply x by 2=2x
multiply 3×2=6
2x +6
12x^9y^4/6x^3y^2
A. 2x^3y^2
B. 2/x^6y^2
C. 2/x^3y^2
D. 2x^6y^2
Answer:b
Step-by-step explanation:
f(x) = x4 – 522 – 10x3 + 6 + 10x
+ 2.6.3 Qulz Similar Triangles Question 10 of 10 With similar triangles, the ratios of all three pairs of corresponding sides are equal. O A. True O B. False
Answer:
A True
Step-by-step explanation:
tell me if I'm worng
True, The ratios of all three pairs of corresponding sides are equal.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two triangles are Similar.
Now, By definition of similarity of the triangle, we get;
The ratios of all three pairs of corresponding sides are equal.
Thus, The given statement is true.
Learn more about the triangle visit;
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I’ll love you forever if you help me with this ASAP ;)
Answer:
A, C, E
Step-by-step explanation:
0.6 + 15b + 4 = 25.6
Let's solve the original equation for b.
15b + 4.6 = 25.6
15b = 21
b = 21/15 = 7/5
A.
15b + 4 = 25
15b = 21
b = 21/15 = 7/5
Equivalent
B.
15b + 4 = 25.6
0.6 was subtracted from the left side but not from the right side of the original equation.
Not equivalent
C.
3(0.6 + 15b + 4) = 76.8
Since 76.8 = 3 * 25.6, this equation was obtained by multiplying both sides of the original equation by 3.
Equivalent
D.
15b = 25.6
4.6 was subtracted from the left side of the original equation, but not from the right side.
Not equivalent
E.
15b = 21
b = 21/15 = 7/5
Equivalent
Answer: A, C, E
find KL round to nearest tenth
9514 1404 393
Answer:
KL ≈ 5.3
Step-by-step explanation:
JL/JM = tan(51°) ⇒ JL = JM×tan(51°)
KL/JL = cos(72°) ⇒ KL = JL×cos(72°) = JM×tan(51°)×cos(72°)
KL = 14·tan(51°)·cos(72°) ≈ 5.3
*worth 15 pts*
what is .5=2x-6.5 plz show work
Answer:
5=2x-6.5 +6.5
11.5=2x ÷2
5.75=x
Step-by-step explanation:
prove me wrong
Answer:
x = 3.5
Step-by-step explanation:
step 1: add 6.5 to each side; 7 = 2x
step 2: divide each side by 2
x = 7/2 or 3.5
Please answer these 2 questions first to get them right gets brainliest :'(
Answer:
The first one is y = 8 and the second one is y = 4.
Step-by-step explanation:
You plug the numbers in for x and then solve the equations.
Lily says that (2+i)" is a complex number for every positive integer value of n. Explain how you
know Lily is correct.
Can someone please help me with this asap ... Please and thank you
Answer:
Step-by-step explanation:
From the question given in the picture,
a). Since, NR bisects a straight angle ∠MNP,
∠MNR ≅ ∠PNR
m∠MNR + m∠PNR = 180°
2(m∠MNR) = 180°
m∠MNR = 90°
Therefore, ∠MNR and ∠PNR are the right angles.
Since, QN divides ∠MNR in two parts,
Therefore, ∠QNR will be an acute angle (less than 90°).
∠MNR + ∠SNR = ∠MNS
90° + ∠SNR = ∠MNS
Therefore, m∠MNS will be more than 90°.
∠MNS will be an obtuse angle (greater than 90°).
(b). Since, NR divides ∠MNP and ∠QNS,
∠MNR ≅ ∠PNR
∠QNR ≅ ∠SNR
∠MNQ ≅ ∠PNS
(c). m∠MNR = 90°
Since, NR bisects ∠QNS,
∠QNR ≅ ∠RNS
m∠QNR = m∠RNS = 30°
m∠QNR + m∠RNS = 30° + 30°
m∠QNR + m∠RNS = 60°
m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]
m∠QNP = m∠QNS + m∠SNP
m∠QNP = m∠QNS + (m∠PNR - m∠SNR)
m∠QNP = 60° + (90° - 30°) = 120°
You have 3/5gallon of juice and drink 1/3 gallons how much is left
Answer:
4/15 gallons of juice
Step-by-step explanation:
Total gallon you have = 3/5gallons
Amount consumed = 1/3 gallons
Amount left = Total gallons + Amount consumed
Amount left = 3/5-1/3
Find the LCM
amount left = (3)(3)-5(1)/15
Amount left = (9-5)/15
Amount left = 4/15
Hence 4/15 gallons of juice is left
24, which is 10% of the money they wanted to raise
Answer:
$2,000
Step-by-step explanation:
Let the amount of money they want to raise be $20,000.
We are going to look for 10% of $20000 as shown:
10% of 20,000 = 10/100 * 20,000
= 0.1 * 20,000
= 2,000
Hence the 10% of the money they want to raise is $2,000
Note the the money the amount of money they want to raise was assumed.
y=-4/5x+7 in general form
Please answer quickly! ;)
Answer:
In order to graph y=%284%2F5%29%2Ax-7 we only need to plug in two points to draw the line
So lets plug in some points
Plug in x=0
y=%284%2F5%29%2A%280%29-7
y=0%2F5-7 Multiply
y=-35%2F5 Add
y=-7 Reduce
So here's one point (0,-7)
Now lets find another point
Plug in x=5
y=%284%2F5%29%2A%285%29-7
y=20%2F5-7 Multiply
y=-15%2F5 Add
y=-3 Reduce
So here's another point (5,-3). Add this to our graph
Now draw a line through these points
So this is the graph of y=%284%2F5%29%2Ax-7 through the points (0,-7) and (5,-3)
So from the graph we can see that the slope is 4%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 5 units to get to the next point) the y-intercept is (0,-7)and the x-intercept is (8.75,0) ,or (35%2F4,0)
We could graph this equation another way. Since b=-7 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-7).
So we have one point (0,-7)
Step-by-step explanation: