Answer:
(- 1, 5 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 9 → (1)
5x - y = - 10 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the y- term
10x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
11x + 0 = - 11
11x = - 11 ( divide both sides by 11 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 1 + 2y = 9 ( add 1 to both sides )
2y = 10 ( divide both sides by 2 )
y = 5
solution is (- 1, 5 )
x + 2y = 9 x + 2y = 9
=====》
5x - y = - 10 (×2) 10x - 2y = - 20
+____________
11x + 0 = - 11
11x = - 11
x = - 1
Thus :
- 1 + 2y = 9
Add both sides 1
2y - 1 + 1 = 9 + 1
2y = 10
Divide both sides by 2
2y ÷ 2 = 10 ÷ 2
y = 5
_____________________________
x = - 1 & y = 5HELLP THIS IS EASY 8TH GRADE STUFF BUT
scale the numerator and the denominator down by a factor of 5 (just divide) to write a fraction equivalent to 30/70.
Answer:
6/14
Step-by-step explanation:
you need to just divide the denominator and numerator by 5. 30 / 5 is 6 and 70 / 5 is 14 so your answer is 6 / 14.
which expression is equvialent to a+4a+8
Answer:
Step-by-step explanation:
Answer:
5a + 8
Step-by-step explanation:
In the circumstance where a is unknown, we combine like terms to get 5a + 8
8-7(-6 + 5^2 )4 / 3+2
Answer:
-121 2/3
Step-by-step explanation:
Write the equation of the graph in slope-intercept form (y=mx+b).
Write the equation without spaces:
Answer:
y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value. When a standard form of a linear equation is of the form Ax + By = C, where 'x' and 'y' and 'C' are variables and 'A', 'B' are constants, the slope-intercept form is the most preferred way of expressing a straight line due to its simplicity, as it is very easy to find the slope and the 'y intercept' from the given equation.
Meaning of y = mx + b
y = mx + b is the slope-intercept form of a staight line. In the equation y = mx + b for a straight line, m is called the slope of the line and b is the y-intercept of a line. y = mx+b, where
y ⇒ how far up or down is the line,
x ⇒ how far along is the line,
b ⇒ the value of y when x = 0 and
m ⇒ how steep the line is.
This is determined by m = (difference in y coordinates)/ (difference in x coordinates). Note that difference in y coordinates is indicated as rise or fall and difference in x coordinates is indicated as run.
Step-by-step explanation:
Kaitlin earns $8 for each hour she works. She figures out that her expenses for gas and car insurance are
$24 each week. If she wants to earn $120 after her expenses, write and solve an equation to figure out
how many hours she must work each week.
PLEASE HURRY WILL GIVE BRAINLIEST
c=4a+4b solve for b
Answer:
[tex]b = -a +\frac{1}{4}c[/tex]
Step-by-step explanation:
Step 1: Flip the equation.
[tex]4a + 4b = c[/tex]Step 2: Subtract 4a from both sides.
[tex]4a + 4b - 4a = c - 4a[/tex] [tex]4b = c - 4a[/tex] [tex]4b = -4a + c[/tex]Step 3: Divide both sides by 4.
[tex]\frac{4b}{4}=\frac{-4a}{4} + \frac{c}{4}[/tex] [tex]b = -a + \frac{1}{4}c[/tex]Therefore, the answer is [tex]b = -a + \frac{1}{4}c[/tex].
Hope you have a lovely rest of your day/night.
Answer:
b = [tex]\frac{c - 4a}{4}[/tex]
Step-by-step explanation:
c = 4a + 4b
Subtract 4a from both sides:
c - 4a = 4a - 4a + 4b
c - 4a = 4b
Divide both sides by 4 to solve for b:
[tex]\frac{c - 4a}{4} = \frac{4b}{4}[/tex]
b = [tex]\frac{c - 4a}{4}[/tex]
Please mark my answers as the Brainliest if you find my solutio helpful :)
What rotation centered about the origin maps (4, −7) to (7, 4) ?
90° counterclockwise
180° counterclockwise
270° counterclockwise
Answer:
A) 90° counterclockwiseStep-by-step explanation:
Preimage (4, - 7) and image (7, 4).
Rule applied:
(x, y) → (-y, x), this is a 90° counterclockwise rotationCorrect choice is A
Answer:
Option A
Step-by-step explanation:
90° counterclockwise rotation about origin rule is
(x,y)=(-y,x)So here
(4,-7)Rotate it
(-(-7),4)(7,4)Option A is correct
Simplify the expression -15m + 9m
Answer:
-6M
Step-by-step explanation:
djdurjjrfjfrjrjrjrf
What is .73% of 125?
Answer:
The answer to that is 91.25
Antonne can build 4 towers using 68 blocks. What equation can be used to model the total number of blocks y needed for the number of towers x? Write the equation in the form y=kx . Please Heeelp
Answer:
68=k4
k=17 or the amount of stacks you can use to make each tower
MARKING BRAINLIEST !! please help asap !
Describe the end behavior of the graph. Then determine whether it represents me odd-degree or an even-degree polynomial function and state the number of real zeros.
Answer:
78
Step-by-step explanation:
...............................
22. The function C= 75x + 2600 gives the cost, in dollars, for a small company to
manufacture x items. The function R = 225x-X gives the revenue, also in
dollars, for selling x items. How many items should the company produce so
that the cost and revenue are equal?
Given:
[tex]c=75x+2600\\[/tex]; where c is cost in dollars and x is items sold
[tex]r=225x-x^{2}[/tex]; where r is revenue in dollars and x is items sold
Equations:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Answer:
For cost and revenue to be equal, the company should produce and sell 20 or 130 items.
[tex]x=20\\[/tex] or [tex]x=130[/tex]
Step-by-step explanation:
1. Set the equations equal to each other; [tex]75x+2600=225x-x^2[/tex]
2. Subtract [tex]225x-x^2[/tex] from each side; [tex]x^2-150x+2600=0\\[/tex]
3. Determine quadratic formula variables; [tex]a=1; b=-150; c=2600[/tex]
4. Substitute [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] into quadratic formula; [tex]x=\frac{-(150)\±\sqrt{(-150)^2-4*1*260}}{2*1}[/tex]
5. Solve quadratic formula; [tex]x_{1} = 130[/tex], [tex]x_{2}=20[/tex]
perpendicular to y = 5/2x - 1 and passes through (-1, -4)
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Answer:
[tex]9\sqrt{3}[/tex] cm^2
Step-by-step explanation:
area of an equilateral triangle = [tex]\frac{s^{2} \sqrt{3} }{4}[/tex] (s = length of the side)
area = [tex]\frac{6^{2}\sqrt{3} }{4}[/tex]
area = [tex]\frac{36\sqrt{3} }{4}[/tex]
area = [tex]9\sqrt{3}[/tex] cm^2
7±9÷3±2×4 what is the answer for this
Answer:
the answer is 18
Step-by-step explanation:
7+9÷3+2x4= 18
(a) Calculate the value of 2/0.4^2
Answer:
32/0 or infinity
Step-by-step explanation:
[tex]\frac{2}{0}(4^2)[/tex] [tex]\frac{2}{0}(16)[/tex] [tex]\frac{32}{0}[/tex] [tex]\frac{32}{0} =[/tex] ∞Therefore, the answer is 32/0 or infinity.
5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.
(1)×3 and (2)×5
15x-9y=33-(3)15x+20y=20-(4)Subtract both
[tex]\\ \sf\longmapsto -29y=13[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-13}{29}[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11[/tex]
[tex]\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{278}{145}[/tex]
Please answer this please
Answer:
the people don't believe in ghosts=372000.
( in scientific notation 3.72×10^5)
...........
Answer:
10,372,000
Step-by-step explanation:
subtractio=128,000 -10,500,000
A population grows according to an exponential growth model. The initial population is 215 and the population after one year is 278.
Complete the formula where P is the population and n is the number of years.:
Answer:
?????
Step-by-step explanation:
q + 67 = q+68
what is q?
What are rates and
unit rates?
Answer:
Rate is the ratio between two different units of measure.
Unit rate is the ratio of between two different units of measure for a single thing.
-9(n+6) can someone help me
Answer:
-9n-54
Step-by-step explanation:
100 point if u answer this correctly pls hep me
For this question you will write a two-column proof of the first part of the Overlapping Angle Theorem. Use the proof for the Overlapping Segment Theorem as your model for this proof.
You must use the two-column format for this question. Write the proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
Given: m∠KER = m∠MEN
Prove: m∠1 = m∠3
Step-by-step explanation:
Statement Reason
m∠KER = m∠MEN Given
m∠KER = m∠1 + m∠2 Angle addition
m∠MEN = m∠2 + m∠3 Angle addition
m∠1 + m∠2 = m∠2 + m∠3 Substitution property of equality
m∠1 = m∠3 Subtraction property of equality
proved
The diagram shows a cuboid
What is the surface area of the cuboid?
4cm,5cm and 9cm
Answer:
surface area of a cuboid=2(L*W)+ 2(L*H)+ 2(W*H)
2(9*5)+2(9*4)+2(5*4)
[tex]2 \times 45 + 2 \times 36 + 2 \times 20[/tex]
[tex]90 + 72 + 40 = 202 {cm}^{2} [/tex]
whats this game called
Answer:đây là 1 ưeb giải các môn học
Step-by-step explanation:
Can someone please help me??
Answer:
the missing side of the triangle is 4, solving by the theorem of Pitagoras a^2 + b^2 = c^2
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=8^2-(4√3)^2[/tex]
[tex]\\ \sf\longmapsto P^2=64-48[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=√16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate is 7.50%. They leave a tip of 20% of the pre-tax total. What was the total amount they paid for dinner?
Answer:
$97.524
Step-by-step explanation:
En cuanto tiempo se triplicara un capital prestado a 1.9% mensual?
Answer:
36
Step-by-step explanation:
Did I do this right? I’m not sure it this is right
Simplify √5×√7 Simplify √3×√27
Answer:
✓35. √9
Step-by-step explanation:
✓5 x √7. √3 x √27
√3 x √3 x √ 9
3x3
√35. 9
Answer:
✓35. √9
Step-by-step explanation: