What is the solution to this system of equations?
10x-y=53
-13xt92
y=-----------------
2
Answer:
x = 6, y = -113
Step-by-step explanation:
10x - y = 53 --- Equation 1
y = [tex]\frac{-13x+92}{2}[/tex] --- Equation 2
I will be using the substitution method.
Substitute y = [tex]\frac{-13x+92}{2}[/tex] into Equation 1:
10x - y = 53
10x - ([tex]\frac{-13x+92}{2}[/tex]) = 53
I want to make the denominators on the left side of the equation the same, so I will multiply 10x by 2 so that I can get a fraction.
[tex]\frac{20x}{2}[/tex] - ([tex]\frac{-13x+92}{2}[/tex]) = 53
Now that their denominators are both 2, I can combine the numerators under the same denominator.
[tex]\frac{20x-(-13x+92)}{2}[/tex] = 53
Two minuses, one outside a bracket and one inside makes a plus. One plus and one minus make a minus.
[tex]\frac{20x+13x-92}{2}[/tex] = 53
Evaluate like terms.
[tex]\frac{33x-92}{2}[/tex] = 53
Shift the (÷2) over to the right side and turn into (×2).
33x - 92 = 53 × 2
= 106
Shift the (-92) over to the right side and turn into (+92).
33x = 106 + 92
= 198
Find x.
x = 198 ÷ 33
x = 6
Substitute x = 6 into Equation 1:
10x - y = 53
10(-6) - y = 53
Evaluate.
-60 - y = 53
Shift the (-60) over to the right side and turn into (+60).
-y = 53 + 60
= 113
Find y.
y = -113
The of an equation is formed by all the points in e plane that makes it true
Answer:
Graph
Step-by-step explanation:
Answer:
can u inlcieh a pic
Step-by-step explanation:
Find the measure of <1
Consider the triangle (in which angle4 is present)
by angle sum property,
20 + 40 + angle4 = 180
60 + angle4 = 180
angle4 = 180 - 60
angle4 = 120
Also,
angle2 = 120 (vertically opposite angles)
angle1 + angle2 = 180 (linear pair)
angle1 + 120 = 180
angle1 = 180 - 120
angle1 = 60
PLEASE ANSWER ASAP!!! 45 POINTS!
Answer:
x =2 [tex]\\\sqrt{24[/tex]
Step-by-step explanation:
a2+b2=c2
(10*10)+(8*8)=x
AXY Zand AABCare similar triangles. Given the dimensions shown in the diagram, what is the
area of AABC? Express the answer in square units.
area in square units
Answer:
3.528
Step-by-step explanation:
First, you need to determine the scale factor. Divide one side in the larger triangle by the corresponding side in the smaller triangle. For example, 8/2. This would give you a scale factor of 2. Then you can reverse the process with the dimensions you need to get the area. The height of the larger triangle is 3.36, so to find the height of the smaller one, you divide it by 2, or the scale factor, to get the height of the smaller triangle which is 1.68. Next, you can solve for area of triangle using a=bh/2, so 4.2*1.68/2=a = 3.528.
3(x + 2) = -5 - 2(x - 3) *
Answer:
x = -1
Step-by-step explanation:
3(x + 2) = -5 -2(x-3)
open parenthesis
3 * x + 3 * 2 = -5 + -2 * x + -2 * -3
3x + 6 = - 5 - 2x + 6
subtract 6 from both sides
3x + 6 - 6 = -5 - 2x + 6
3x = -5 -2x
add 2x from both sides
3x + 2x = -5 - 2x + 2x
5x = -5
divide both sides of the equation by 5
5x/5 = -5/5
x = -5/5
x = -1
LC) Simply -3 over 2 ÷ 9 over 6
Step-by-step explanation:
-3^2 / 9^6
-3^2 / 3^2
(9 divided by 3 = 3 and 6 divided by 3 = 2)
It would now be -1 because a negative divided by a positive gives a negative.
If there are 7 basketballs for every 3 students at Tuckahoe, then how many students are there if the store room has 49 basketballs?
Answer:
21 Students
Step-by-step explanation:
7:3
7*7=49
3*7=21
49:21
If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it is placed at an angle of 72 degrees from the ground, how long is the ladder to the nearest foot?
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
A function is shown on the graph what is the domain of the function?
Answer:
you need to add the graph
Answer:
no graf
Step-by-step explanation:
ABCD is a kite with AB≈BC.
Answer:
Line BD⊥ Line AC
ΔDMC ≅ ΔDMA
need help asap this is due in 20 min!!! i will gove brainliest too! questions 8-11
8. x= 7
9. x= 9
10. x= -10
11. x= -18
Which scenario could be represented by this graph?
Answer:
its is (b) turns the oven on
Answer:
D
Step-by-step explanation:
I did the test
Please help me answer this
Answer: y = x - 5
Step-by-step explanation: hope this helps! :)
PLEASE HELP
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHIJE AKLM?
Check all that apply.
А. НА
B. ASA
C. AAS
D. LL
E. HL
F. LA
Answer:
Option A and Option C
Step-by-step explanation:
Given:
IJ ≅ LM
∠J ≅ ∠M
To Prove:
ΔHIJ ≅ ΔKLM
Statements Reasons
1). IJ ≅ LM 1). Given
2). ∠J = m∠M 2). Given
3). ΔHIJ ≅ ΔKLM 3). By HA property Or AAS property of
congruence
Therefore, Option A and Option C are the correct options.
Find the UNIT RATE:
10 miles: 5 hours
A.2 hours: 1 mile
B.1 hour : 2 miles
C.2 miles: 1 hour
D.1 mile: 2 hours
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Helllllpppp ASAP!!!!! Figure S is the result of a transformation on Figure R. Which transformation would accomplish this?
Answer:
d
Step-by-step explanation:
"The output is 5 less than twice the input
Answer:
x=2x-5
Im pretty sure that's it
Hi! please help me out its due very sooon :((
Answer:
y= 1/3x -6
Step-by-step explanation:
you just have to plug the given values into the slope intercept formula:
y = mx +b
where M is the slope and B is the y-intercept
Answer:
y = 1/3x - 6
Step-by-step explanation:
What does the point of intersection of the graph tell you? Enter your answers in the boxes.
On day _____,both girls should be on page______.
.
Answer:
On day 26, both girls should be on page 60.
Step-by-step explanation:
will mark brainliest for correct answer
Answer:
Y
Step-by-step explanation:
Look at Y and look at the input and output it shows which one is it and how to find it you welcome :)
What is -2-(-7)
Plssssss explain
Answer:
5
Step-by-step explanation:
Showing the work:
= -2-(-7)
= -2--7
= -2+7
= 5
Answer:
5
Step-by-step explanation:
the answer is up at the top
Click on photo if neccessary
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9. The model represents an equation.
1
1
1
-1
-1
1
1
-1
-1
1 1
1
1
-1
1
1
1
What value of x makes the modeled equation true?
Answer:
1
Step-by-step explanation:
A proportional relationship between y and x. When x = 3, y=−4 .
What is the constant of proportionality, k?
Enter your answer as a simplified or improper fraction in the box.
k =
Answer:
k = 4/3
Step-by-step explanation:
Formula for k: y/x
If y = 4 and x = 3, then we use the formula (y/x) in order to find the constant of proportionality:
k = 4/3
Jody bought some scarves that cost $8
each. She spent a total of $40. How
many scarves did she buy?
Answer:
5 scarves
Step-by-step explanation:
8x5=40
A train first travels east for 20 kilometers. Then it turns north and travels for 43 kilometers. Next it goes west for 20 kilometers. Finally, it travels south for an unknown number of kilometers. At the end of the journey, the train is back at the original location. How far did it travel southward?
Answer: the train traveled 43km southwards
Step-by-step explanation:
First, let's define.
North as the positive y-axis.
East as the positive x-axis.
And the initial position of the train is (0, 0).
Now, we know that:
"A train first travels east for 20 kilometers."
The new position will be:
(0, 0) + (20km, 0) = (20km , 0)
"Then it turns north and travels for 43 kilometers."
The new position will be:
(20km, 0) + (0, 43km) = (20km, 43km)
"Next it goes west for 20 kilometers."
If East if the positive x-axis, then West is the negative x-axis.
The new position of the train will be:
(20km, 43km) + (-20km, 0) = (0, 43km)
Then it travels south for an unknown number of kilometers, such that the final position is the same as the initial position, then if the train goes X kilometers to the south (and because North is the positive y-axis, South will be the negative y-axis), we have:
(0, 43km) + (0, -X) = (0, 0)
(0, 43km - X) = (0, 0)
Then we must have that:
43km - X = 0
43km = X
This means that the train traveled 43km southwards.
HELP PLS!!!! SOLVE ALGEBRA
Answer:
#11) D) x<0 or x≥7
Step-by-step explanation:
Hope this helps
answer correctly please please please for BL
Answer:
its 12
Step-by-step explanation:
plz mark as brainliest
can some tell me what does the tooth fairy do with the bones that come out of my face
Answer:
The tooth does very creepy stuff I have heard that she gives our teeth to the dentist for dental purposes, or even eats our teeth. I am disgusted by this already so this is your answer.
Step-by-step explanation: