Describe the steps necessary to solve the following system equations:
-3x - 4y = 2 and 3x + 3y = -3
Answer:
(- 2, 1 )
Step-by-step explanation:
Given the 2 equations
- 3x - 4y = 2 → (1)
3x + 3y = - 3 → (2)
Adding the 2 equations term by term will eliminate the x- term, that is
0 - y = - 1
- y = - 1 ( multiply both sides by - 1 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (2)
3x + 3(1) = - 3
3x + 3 = - 3 ( subtract 3 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
solution is (- 2, 1 )
Answer:
x = -2 and y = 1
Step-by-step explanation:
3x + 3y = -3, x + y = -1, x = -y -1
-3(-y-1) - 4y = 2, 3y + 3 - 4y - 2 = 0
-y +1 = 0, y = 1
x + y = -1, x + 1 = -1, x = -2
can someone help me
Step-by-step explanation:
40 ÷ 4 ( 4 sides) = 10
So each side measures 10inches
Answer:
10
Step-by-step explanation:
beacue 10x4
Write the equation of the line in slope-intercept form that goes through the points (4, -2) and (8, -9)
Answer:
y = 17/6 x - 40/3
Step-by-step explanation:
Slope-intercept form: y = mx + b
First, let's find the slope:
slope formula: (y2-y1) divded by (x2-x1)
(4, -2) and (8, -9)
(-9 - 8) divded by (-2 - 4) = 17/6
We found m, now we have to find b.
The new equation: y = 17/6 x + b
Insert any of the two points, in this case, I'll insert (4, -2)
-2 = 17/6 (4) + b
-2 = 68/6 + b
b = -2 - 68/6
b = -40/3
Overall equation: y = 17/6 x - 40/3
math is so hard man but can someone help me
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
No, because
the first function if you further calculate you have
y= 3(x +5) is y = 3x+15 ; since you have to distribute
the second function if you have to translate is y=3x+5 because if you read it out loud the equation now you will say y equals 3 times x plus 5 like was given
PRECIZATI COORDONATELE PUNCTELOR DIN FIGURA DE MAI JOS STIIND CA PUNCTUL 0 ESTE ORIGINEA AXEI NUMEREOR
Answer:
gb! gxhkvjbuckkfkdjfjxlx?xlfkfjjmf la lfldkejnfnfmfkkfkf
Find the slope .
What does this mean?
Find the y intercept.
What does this mean?
A grocery store is offering a sale on bread and soup. Kacey buys four cans of soup and three loaves of bread for $12.35. Fernando buys eight cans of soup and one loaf of bread for $13.05.
a. Write equations for both Kacey’s and Fernando’s purchases.
Answer:
Kacey
4x+3y=12.35
Fernando
8x+1y=13.05
1f (-2, y) lies on the graph of y = 3, then y =
Answer:
y = 3
Step-by-step explanation:
the y-value of any ordered pair that lies on the line 'y = 3' will be equal to 3.
keusisdnrnsusjdhhrnrksysskrkridbebrb thank you
Answer:
ur welcome
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form
Answer:
4^2 + 6^2 = x^2
Step-by-step explanation:
Pythagorean theorem is used. Solve for x.
The percent of change in the test scores was 12%. If the amount of change was 6 points, what was the original number of points?
Answer:
Step-by-step explanation:
100(a+6-a)/a=12
100(6)/a=12
600=12a
a=50
el peso de una moneda de 5 es 7.07 geamos si tienes 1000 monedas de $5, ¿cuantos pasaran en total?
Answer:
Please translate this to English so I can help you?! :)
Step-by-step explanation:
The hypotenuse of a right angle triangle is 4 metres. If its other sides are equal find the length of each side.
Answer:
[tex] \sqrt{8} [/tex]
or
[tex]2 \sqrt{2} [/tex]
Step-by-step explanation:
Since the legs are equal this is a 45-45-90 triangle.
The ratio of side length for a 45 45 90 triangle
[tex](1)(1)( \sqrt{2} )[/tex]
where 1 is the legs length and sqr root of 2 is the length of the hypotenuse.
Since we are trying to find the length of the legs side we can set up a proportion.
We know the hypotenuse is 4 so our proportion looks like
[tex] \frac{1}{x} = \frac{1}{x} = \frac{ \sqrt{2} }{4} [/tex]
Let see how far sqr root of 2 goes into 4.
[tex] \sqrt{2} \times x = 4[/tex]
[tex] \sqrt{2} \times x = \sqrt{16} [/tex]
[tex]x = \sqrt{8} [/tex]
so that means the answer for the legs length is
[tex] \sqrt{8} [/tex]
or
[tex]2 \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
hello :
use phtagor - rule: let x the length of each side
x² +x² =4²
2x² =16
x² = 8
x = √8
but : 8 = 4×2 = 2²×2
x = √(2²×2) = √2²× √2 =2√2 ...... √2² =2
x = 2√2 metres.
The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answer:
x=20
Step-by-step explanation:
76+44+3x=180
120+3x=180
-120 -120
3x=60
60/3=20
20(3)+120=180
Triangles add up to 180.
Hope this helps! :)
A light house worker is tracking a boat that is 5 km south of her. She is also tracking a boat
that is 6 km from the tower located 70° east of north. To the nearest kilometer, how
far apart are the two boats?
A. 7 km
B. 9 km
C. 8 km
D. 16 kM
Answer:
cccccccccccccccccccccccccccccc c
Please help!!!!!!!
thank you for helpingggggg
Answer:
x = 9
Step-by-step explanation:
5x * 135 = 180
180 - 135 = 45
5x = 45
5 ÷ 5 = 0
45 ÷ 5 = 9
X = 9
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
A rectangle is covered by 24 unit squares. There are no gaps or overlap.
How can the area of the rectangle be found?
The area of the rectangle is equal to the number of unit squares that cover the rectangle. The area of the rectangle is 24 square units.
The area of the rectangle is half the number of unit squares that cover the rectangle. The area of the rectangle is 12 square units.
The area of the rectangle is double the number of unit squares that cover the rectangle. The area of the rectangle is 48 square units.
Answer: Choice A
The area of the rectangle is equal to the number of unit squares that cover the rectangle. The area of the rectangle is 24 square units.
=====================================================
Explanation:
Imagine drawing equally spaced grid lines to subdivide the rectangle. This splits the rectangle into smaller squares. In this case, each little square is 1 square unit. Having 24 of these squares leads to a total area of 24 square units.
We could have 8 rows and 3 columns of these squares to get 8*3 = 24 total. Or we could have 6 rows and 4 columns to get 6*4 = 24. Another configuration is 12 rows and 2 columns which leads to 12*2 = 24.
Pls help me ASAP pls
Jessica is bringing cupcakes to school for her birthday. She is placing them in a rectangular box that can fit 4 more cupcakes long that it can wide. They will not all fit in the box, so she is also bringing a bag that can hold 12 cupcakes. The amount of cupcakes she is bringing can be represented as x(x + 4) + 12. Solve for the number of cupcakes wide and long the box will hold. Part A) What does x represent?
Answer:
the amount of cupcakes
Step-by-step explanation:
you said the amount of cupcakes can be represented by
Who tryna help me with my work? 10th Grade work btw.....
Answer:
Thanks for the points- but im a duma$s
Step-by-step explanation:
one less than twice a number equals 9?
Answer:
X x 2 = 9 - 1 is your expression I am pretty sure
4d = 30 the answer would be c=7.5 right if not plz correct me if im wrong
Answer:
Correct!
Step-by-step explanation:
You did it the correct mathematical way, where you divide 4 by 30. Some people get confused and multiply 30 and 4, so good job!
Answer:
Step-by-step explanation: 4÷30=7.5 D = 7.5
Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)
Answer:
The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.
(His new salary is 58,800 and 5% of his normal salary is 2,800)
Factor: k^2 + 7x + 10
A:(k+10)(k+4)
B:(k+2)(k+5)
C:(k+2)(k-5)
D:(k-2)(k-5)
Answer:
the answer is B. (k+2)(k+5)
Answer:
a
Step-by-step explanation:
Is (-1,3) a solution for y < 2x + 5?
BRO PLS HELP ME I NEED TO TURN IT IN AN HOUR
Answer:
A
Step-by-step explanation:
Multiply all the points by 2.
Graph the linear equation y=2.
Answer:
Here is a picture of how you will graph this equation
Step-by-step explanation:
Hope this Helped
Answer:
Slope= 0 Y-intercept= (0,2)
Step-by-step explanation:
Della has $575.38 in her checking account. What is the balance after she makes a deposit of $50.00 and a withdrawal of $85.45?
A)
$539.93
B)
$558.45
C)
$561.63
D)
$603.73
Answer:
A) 539.93
Step-by-step explanation:
575.38 + 50 - 85.45 = 539.93
Answer: A
$539.93
Step-by-step explanation:
Balance is $575.38 so add (+) $50 for her deposit and subtract (-) $85.45 to get the answer
What is the measure of
Angles are not necessarily drawn to scale.
Answer: 58
Step-by-step explanation:
180-114= 66
66+56=122
180-122= 58