1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
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7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
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7x=7y=−2x+5
Divide each term by
7
and simplify.
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x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
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x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
i don't understand this equation -6n+21=12n-15
Answer:
n=2 dont add your -6n and 21 together only variables can go with variables and you learn this in 6th-7th grade anyway.
Pls help. A, B, C, or D?
Answer:
b=1
Step-by-step explanation:
1) Distribute
6+7b-7=5+b
2) Combine like ter,s
7b-1=5+b
3) Isolate variable
6b=6
4) Solve
b=1
Answer:
b = 1
Step-by-step explanation:
6 + 7b - 7 = 5 + b
7b - b = 5 - 6 + 7
6b = 6
b = 1
A hang-glider 25 meters above the ground started to descend (go down) at a constant rate of 2 meters per second. Which equation could be
used to determine the height h of the glider after t seconds of descent?
Answer:
Step-by-step explanation: h = -2t + 25
2t = the distance the glider will pass descending with constant speed of 2 m/s (distance = speed*time)
25 = the initial height that will decrease by the distance that the glider will pass while descending during time t
algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .
Convert 10 kg⋅cm/s2 to Newtons.
1×10−1 N
1×10−2 N
1×10−5 N
1×10−6 N
Answer:
B
Step-by-step explanation:
If it’s right can you mark me brainliest ty
The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the metric unit of force,
10 kg⋅cm/s²
Since,
1 meter = 100 cm ⇒ 1 centimeter = 0.01meter
So,
10 kg⋅cm/s² = 10 kg (0.01)m/s²
10 kg⋅cm/s² = 10 × 0.01 kg m/s²
10 kg⋅cm/s² = 1×10−1 kg m/s²
Since,
kg m/s² = Newton (N)
So,
10 kg⋅cm/s² = 1×10−1 N
Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".
To learn more about unit conversion,
brainly.com/question/11543684
#SPJ6
Which of the following graphs contain the vertex and point below?
vertex (-2, 4), point (2, 84)
a) y = 5(x - 2)2 + 4
c) y = 5(x + 2)2 + 4
b) y = 84(x + 2)2 - 4
d) y = 2(x - 2)2 + 4
Does the table below show a linear or exponential function?
X 0 1 2 3
Y 70 49 28 7
Answer:
following! not to sure what the answer is
Step-by-step explanation:
In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area
Answer: perimeter
Step-by-step explanation:
HELP ASAP!!!
The relation given by {(-6, 3), (-2, 4), (1, 5), (4,0)} is a function.
Which ordered pair can be included with this relation to form a new relation that is also
a function?
A. (1,-5)
B. (-2, 19)
C. (4,4)
D. (6,3)
please help me!!! i will gladly give brainliest :)
Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?
A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.
B. Use a rigid transformation to prove ∠NOP ≅ ∠ONP.
C. Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.
D. Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN.
Given:
ΔONP and ΔMNL.
To find:
The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?
Solution:
According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.
In ΔONP and ΔMNL,
[tex]\angle ONP\cong \angle MNL[/tex] (Vertically opposite angles)
To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.
Using a rigid transformation, we can prove
[tex]\angle NOP\cong \angle NML[/tex]
Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,
[tex]\Delta ONP\sim \Delta MNL[/tex] (AA postulate)
Therefore, the correct option is A.
Similar triangles may or may not be congruent.
The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.
From the question, we have:
[tex]\mathbf{\triangle ONP \sim \triangle MNL}[/tex] --- ONP and MNL are similar triangles
Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent
[tex]\mathbf{\angle ONP \cong \angle MNL}[/tex]
[tex]\mathbf{\angle NOP \cong \angle NML}[/tex]
[tex]\mathbf{\angle PON \cong \angle LMN}[/tex]
Option (b) is incorrect because angles NOP and ONP are not corresponding angles
Options (c) and (d) are incorrect, because they prove the similarities by lines segments.
Hence, the correct option is (a).
This is so because, it proves the similarities of both triangles by using corresponding angles.
Read more about similar triangles at:
https://brainly.com/question/20502441
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
solve What is 13.789 rounded to the nearest tenth?
Answer:
13.8
Step-by-step explanation:
8 is greater than 4 so you round up and get 13.8
find x in the given triangle
What type of triangle is this ???? Pleaseeee helppppp !!!!!!!!!!! Will mark Brianliest correct answer !!
Answer: This triangle is an iscoceles acute traingle. It is also an isocelceles right triangle
Step-by-step explanation: In the traingle, you have 2 45 degree angles. That means isoceles acute is correct. Isoceles right is also correct because you have a right angle and 2 equal angles.
30/90= ?/18 please help i don’t know how to do this.
Answer:
6
Step-by-step explanation:
30/90 is 1/3. 1/3 is equal to 6/18
Hope that helpsssss :DD
Answer:
6
Step-by-step explanation:
30/90 = 1/3
If you multiply 6 by 3, you get 18
Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Step-by-step explanation:
A. Where do you see circles and semicircles in the world around you?
1. Ring.
2. Earing
3. Coin
4. Hockey puck
5. Car tyre
6. Dartboard
7. Wreath
8. Plate
9. Hula hoop
10. Mercedes logo
11. Bass drum
12. Drain
B. Why could finding the area or circumference be helpful?
Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them
what is the value of y for which a ll b
Answer:
110
Step-by-step explanation:
Determine if this is a function or not based on the graph
O yes
O no
Answer:
yes
Step-by-step explanation:
brainiest plz
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second car has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for total gas cumsumption of 40 gallons. How many gallons were consumed by each car
Answer:
Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 25 gallons
Step-by-step explanation:
Given that:
Fuel efficiency of first car = 30 miles per gallon
Fuel efficiency of second car = 15 miles per gallon
Total distance traveled = 825 miles
Total gas consumption = 40 gallons
To find:
Number of gallons consumed by each car = ?
Solution:
Let the number of gallons consumed by first car = [tex]x[/tex] gallons
As per question statement, number of gallons consumed by second car:
[tex]40-x[/tex]
Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed
Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]
Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])
Using the given statement:
[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]
Therefore, Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 40 - 15 = 25 gallons
What is -5x +81x -15
Answer:
i think its 76x - 15
Step-by-step explanation:
Sorry if its wrong
Answer:
Answer is 76x -15
Step-by-step explanation:
Proportions - 5/10
earn 5 coins
A recipe needs 2 tablespoons of vegetable oil for every cup of flour. If you plan to use 3 cup
Flour, how much vegetable oil will you need?
Answer:
2 t / 1 c
2/1=x/3
6=x
6 tablespoons
Answer:
8 Tablespoons trust me.
Step-by-step explanation:
First to answer this correctly will get a brainlliest.
What’s the answer I need help?
its either A or B
Step-by-step explanation:
its not C or D because it has to be an acute angle
What is the circumference of circle E?
(Use 3.14 for a.)
Answer:
15.7
Step-by-step explanation:
circumference = pi x diameter
3.14 x 5 = 15.7
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
[tex]\pink{\sf Third \: side \: of \: the \: triangle = 45}[/tex]
Solution :As, the given triangle is a right angled triangle,
Hence, We can use the Pythagoras' Theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
Here,
H = Hypotenuse of triangleB = Base of triangle P = Perpendicular of triangleIn given triangle,
Base = 24Hypotenuse = 51Perpendicular = ?Now, by Pythagoras' theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
[tex] \sf : \implies (51)^{2} = (24)^{2} + P^{2}[/tex]
[tex] \sf : \implies 51 \times 51 = 24 \times 24 + P^{2} [/tex]
[tex] \sf : \implies 2601 = 576 + P^{2}[/tex]
[tex] \sf : \implies P^{2} = 2601 - 576[/tex]
[tex] \sf : \implies P^{2} = 2025[/tex]
By squaring both sides :
[tex] \sf \sqrt{P^{2}} = \sqrt{2025}[/tex]
[tex] \sf : \implies P^{2} = \sqrt{2025}[/tex]
[tex] \sf : \implies P^{2} = \sqrt{(45)^{2}}[/tex]
[tex] \sf : \implies P^{2} = 45 [/tex]
[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}[/tex]
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Choose the situation in which the use of approximate numbers is most appropriate.
A)
planting trees in your yard
B)
ordering chairs for a kitchen table
purchasing barbeque to serve at a party
D
ordering uniforms for the high school basketbalt team
Answer:
I would say that A is your answer.
I think this because you would not need to have any specific number of trees in your yard, but you would need a specific number of things for all of your other options.
Step-by-step explanation:
You probably wouldn't approximate on how many chairs you put in a kitchen. What if you have a 5-member family and you aproxomate the chair number to 4. that would be useless so B is wrong.
C is wrong because you are only getting 1 barbaque. no approximation is nessisary for one item.
D is certainly wrong because you wouldn't want to leave out a uniform, that would mean one member of the basketball team may not get one.
Simplify 5 - 2 · 3 + 4.
Answer:
3
Step-by-step explanation:
5-2x3+4
10.Adrienne is going to deposit $8,500 in an account that earns 2.5% interest for 360 months. How much more interest will she earn if the account earns annual compound interest rather than annual simple interest?
Answer:
Difference= $3,090.15 in favor of compounded interest
Step-by-step explanation:
Giving the following information:
Present value (PV)= $8,500
Ineterest (i)= 0.025/12= 0.00208
Number of periods (n)= 360 months
We will calculate the future value of each option and determine the difference:
Simple interest:
FV= (PV*i*n) + PV
FV= (8,500*0.00208*360) + 8,500
FV= $14,864.8
Compounded interest:
FV= PV*(1+i)^n
FV= 8,500*(1.00208^360)
FV= $17,958.95
Difference= $3,090.15
PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
Answer:
f(-2) = 2
Step-by-step explanation:
Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.
So basically it wants the y-value :)
Answer:
1.25
Step-by-step explanation:
the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line
yo cheyla2004 i really need your help my small brain cant comprehand this but what is 8+1+1
Answer:
The answer is 10
Step-by-step explanation: