Answer:
b= (2a+11)/5
Step-by-step explanation:
5x + 2y = 9
2y=9-5x
y= 9/2 - 5x/2
slope, m1= -5/2
for perpendicularity, m1 × m2 = -1
slope for QR= m2=
[tex] = - 1 \div \frac{ - 5}{2} = - 1 \times \frac{2}{ - 5} = \frac{ - 2}{ - 5} = \frac{2}{5} [/tex]
m2 is 2/5
[tex]qr = \frac{b - 3}{a - 2} [/tex]
[tex] \frac{2}{5} = \frac{b - 3}{a - 2} [/tex]
5(b-3)=2(a-2)
5b-15=2a-4
5b=2a-4+15
5b= 2a+11
[tex]b = \frac{2a + 11}{5} [/tex]
An expression for b in terms of a is b = (2a + 11)/5.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given an equation of a line 5x + 2y = 9 ⇒ 2y = - 5x + 9 ⇒ y = (-5/2)x + 9/2.
So, the slope of the line parallel to QR is the slope negative reciprocal of (-5/2) which is (2/5).
We know slope m = (b - 3)/(a - 2).
∴ (2/5) = (b - 3).(a - 2).
2(a - 2) = 5(b - 3).
2a - 4 = 5b - 15.
2a + 11 = 5b.
b = (2a + 11)/5.
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A bag of 12 ounces of popcorn costs $4.80. What is the unit rate? (in others words what is the cost for one ounce) *
Answer:
0.4
Step-by-step explanation:
$4.80 divided by 12 = 0.4
Answer:
2.50 per ounce
Step-by-step explanation:
divide 12 by 4.80
Please help Divide. 9u2− 12u/3u
what is figure formed by two rays that originate from the same point?
A. angle
B. Parallel line
C. Perpendicular lines
D. line segment
Un jugador de baloncesto tiene una altura de 6 pies y 10 pulgadas. Cuál es su altura en centímetros?
208.28 cm
espero haberte ayudado(:
solve x·x·y·y·y = _____
Step-by-step explanation:
there are 2x and 3y so since it is multiplication you can directly write like below
2x•3y
6xy
Answer:
2x 3y
Step-by-step explanation:
I don't think that's an actual equation, but I'm sure it would just be this
Someone please help me quick I’m timed
Cierra spent $3.48 on a dozen donuts. Find the
unit rate. (The cost for ONE donut!)
Answer:
0.29
Step-by-step explanation:
One dozen = 12
12 donuts for 3.48
3.48/12 = 0.29 per donut
Which student evaluated the power correctly? Aida's Work 5 Superscript 4 = 5 times 5 times 5 times 5 = 625 Hector's Work 5 Superscript 4 = 5 times 4 = 20 Camila's Work 5 Superscript 4 = 5 + 5 + 5 + 5 = 20 Juan's Work 5 Superscript 4 = 5 times 5 times 5 = 125
Answer: Aida
Step-by-step explanation:
Superscript means to that power so 5 superscript 4 for means 5 to the 4th power
5x5x5x5
5x5=25 25x5= 125. 125x5= 625
Answer:
Its Aida
Step-by-step explanation:
The guy up there deserves brainly more than I do but...
Its correct on Edge 2021
I hope this helps you <3
You earned a 90% and an 85% on your first two homework assignments. What score do you need to earn on the third assignment to have an average of 83%?
nicole will rent a car for the weekend. she can choose one of two plans the first plan has an initial fee of $53 and cost an additional $0.08 per mile driven. the second plan has an initial fee of $48 and costs an additional $0.10 per mile driven.
?
Step-by-step explanation:
what's the question??
Evaluate b/a - 1.2 when a=4 and b=12
Answer: 46.8
Step-by-step explanation:
In the diagram, which is not drawn to scale, DE | FG || BC.
Answer:
FG || BC.
Step-by-step explanation:
In the diagram, which is not drawn to scale, DE | FG || BC.
The measure of DA is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.
What is an equal intercept theorem?The theorem states if a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. It means that given any three mutually perpendicular lines, a line passing through them forms intercepts in the corresponding ratio of the distances between the lines.
Here, EG = GA - AE
= 36-24
= 12 cm
Here, ΔADE is similar to ΔAGF
Now, AE/GA = AD/FA
⇒ 24/36 = AD/(AD+10)
⇒ 24 (AD+10) = 36AD
⇒ 24AD+240 = 36AD
⇒ 12AD =240
⇒ AD =20 cm
Here, ΔAGF is similar to ΔABC
Now, 30/45 = 36/AC
⇒ 30AC = 36×45
⇒ AC = 54 cm
So, GC = 54-36 = 18 cm
Therefore, the measure of AD is 20 cm, the measure of EG is 12 cm and the measure of GC is 18 cm.
Learn more about the equal intercept theorem here:
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What is the solution to the following equation? -6(x-2) + 3x = -3(x + 3) + 21
(This is not multiple choice and I need the answer in number form, with explanation please) :)
9514 1404 393
Answer:
no solution
Step-by-step explanation:
Simplifying the given equation, you have ...
-6(x -2) +3x = -3(x +3) +21 . . . . . given
-6x +12 +3x = -3x -9 +21 . . . . . . eliminate parentheses
-3x +12 = -3x +13 . . . . . . . . . . . . collect terms
0 = 1 . . . . . . . . . . . . . add (3x-12) to both sides
There is no value of x that will make this true.
The equation has NO SOLUTION.
Daniel goes to an amusement park. He spent $31.75 on the admission fee and $9.25 on parking. He also spent $5.50 on snacks at the park.
If a ticket for a ride costs $5.50, what were the maximum number of rides he could take if he had $79.50 in his pocket?
Answer:
783 espero ter ajudado Bon estudos
A cube has side lengths of 4 in.
What is the volume of the cube?
Enter your answer in the box.
in3
Answer:
64in3
Step-by-step explanation:
V= 64in3
Answer:
V = 64 in³
I hope this answer be right !
Which of the following is equal to 2.2 × 8?
A.
(2 × 8) + (0.2 × 2)
B.
(2 × 8) × (0.2 × 8)
C.
(2 × 8) + (0.2 × 8)
D.
(2 + 8) × (0.2 + 8)
Answer: C
Step-by-step explanation: (2 × 8) + (0.2 × 8) because the 2.2 is together you will have to add those and multiply each 2 by 8.
76 balones se repartieron en 3 grupos el segundo recibió 3 vece mas que el primero y el tercero recibió 4 menos que el primero ¿Cuántos balones tiene cada grupo?
Answer:
1º REPARTO= X
2º REPARTO= 3X
3º REPARTO= X-4
POR LO TANTO AL SUMAR LOS TRES REPARTOS NOS SALDRAN EL NUMERO DE BALONES
X+3X+X-4=76
5X-4=76
5X=76+4
5X=80
X=16
AHORA REEMPLAZAMOS EN NUESTROS DATOS:
1º REPARTO= X X=16
2º REPARTO= 3X X=48
3º REPARTO= X-4 X= 12
If these two shapes are similar, what is the measure of the missing length b?
Answer:
B = 7mm
Step-by-step explanation:
This is probably an enlargement problem.
To solve this:
the blue triangle has all of it's measurements you need. Let's start with that.
6/36 =
We know that one side, the bottom side of the green triangle is 42mm.
6/36 = b/42
We could simplify 6/36 into 1/6
1/6 = b/42
AHA! the denominators are easy! 6 times 7 is equal to 42, so 1 times 7 should equal b!
1/6 = 7/42
Check:
6/36 = b/42
36b = 6*42
36b = 252
b = 252/36
b = 7
So yes! B is 7 mm. Pls mark me brainliest, as I never have a single brainliest.
Name the vertex of ∠2.
What is the value of f if 9f+11=3f+23
Answer:
The value of the problem is 2
Step-by-step explanation:
The price of a 9-minute phone call is $2.25. What is the price of a 19-minute phone call?
Answer:
$4.75
Step-by-step explanation:
9/2.25=19/x
cross product
2.25*19=9*x
42.75=9x
x=42.75/9
x=4.75
Pls help me, this is past due and every day it’s pasted due I get points deducted:( (I have an F in math)
Answer:
Part A: 3 3/4 Part B: 5 1/4
Step-by-step explanation:
Part A: 3/4x5=3 3/4
Part B: 3 3/4 +1 2/4=5 1/4
HELP PLEASE !!!!!!!!!
Answer:
300 seconds
Step-by-step explanation:
Given,
Speed of Jenna = 2m/s
Distance she covered = 600 m
Therefore, Time taken by her
[tex] = \frac{distance}{speed} [/tex]
[tex] = \frac{600}{2} [/tex]
= 300 seconds (Ans)
An angle measures 2° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
182
Step-by-step explanation:
is what that is plus 2
Luh Kel - Wrong (Official Music Video) is song appropriate to listen to after a girl cheats on you
Answer:
Yes it is
Step-by-step explanation:
Hits really hard
Answer:
Yea
Step-by-step explanation:
Thanks for helping if ya did
Answer:
A
Step-by-step explanation:
Answer:
785 m
Step-by-step explanation:
Brainliest, pleeeeaseee??? Thanks I love YOUUUUUU
Please help will mark brainiest
Answer:
DFE AND FED
Step-by-step explanation:
Choose the expression that is equivalent to the expression
n/4 n/4 n/4 n/4. A. N. B. 1/4n. C. 4n. D. 0
Answer:
A. n
Step-by-step explanation:
n/4 + n/4 + n/4 + n/4 = 4n/4 = n
On solving the expression, n/4 + n/4 + n/4 + n/4 , we get n.
What is a expression? What is a mathematical equation? What is equation modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
n/4 + n/4 + n/4 + n/4
We can write -
n/4 + n/4 + n/4 + n/4
n/4(1 + 1 + 1 + 1)
4 x n/4
n
Therefore, on solving the expression, n/4 + n/4 + n/4 + n/4 , we get n.
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PLEASE HELP I WILL MARK BRAINLEST 20 POINTS
what would be x in this ordered pair (3 -8)
Answer:
3
Step-by-step explanation:
X goes first
Answer:
X is the 3
Step-by-step explanation:
Ordered pairs always go (x,y) X will always be the number on the left.
what is (3z+1) + (5+7z)
the answer is:
10z+6
hope this helps :)