What is the y-coordinate for the solution to the system of equations?

{y=1/2x−4
{y=−2x+1

Answers

Answer 1

Answer:

y = -3

Step-by-step explanation:

{y = x/2 - 4

y = 1 - 2 x

Substitute y = x/2 - 4 into the second equation:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

In the second equation, look to solve for x:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

Add 2 x + 4 to both sides:

{y = x/2 - 4

(5 x)/2 = 5

Multiply both sides by 2/5:

{y = x/2 - 4

x = 2

Substitute x = 2 into the first equation:

{y = -3

x = 2

Collect results in alphabetical order:

Answer:

{x = 2

y = -3


Related Questions

A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
30
60
45
50

Answers

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

Answer:

Step-by-step explanation:

50 degree

Solve using addition or subtraction.
6=m-7/8

Answers

55/8 I hope it’s right

A school club purchases sandwiches and pretzels for a lunch. Each sandwich costs $4.25 and each bag of pretzels costs $0.75. A total of 48 items (sandwiches and pretzels) were purchased for a total cost of $175. If s = the number of sandwiches and p = the number of pretzels, which system represents this situation?

A. s + p = 48
4.25s + 0.75p = 175

B. s + p = 175
4.25s + 0.75p = 48

C. s + p = 48
0.75s + 4.25p = 175

D. s - p = 48
4.25s + 0.75p = 175

Answers

Answer: I’m 95% sure it’s A

A 50 centimeter piece of wire is bent into a circle. What is the area of this circle?

Answers

Answer:

198.95 cm²

Step-by-step explanation:

Circumference = 50cm

C = πD

D = C/π

r = D/2

r = 50/π/2

r= 7.957747…..cm

Area = π r²

A = π x 7.957747….²

A = 198.95 cm² (2dp)

help me please! thanks !​

Answers

Answer:

10 is 20% 5 is 10% 1 is 2% 17 is 34%

Step-by-step explanation:

Kinda hard to explain.

Answer:

20%

10%

2%

34

Step-by-step explanation: HOPE THIS HELP PLEASE MARK ME AS BRAINLISTI

how many square feet of outdoor carpet will we need for this hole​

Answers

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

Solve this please x^4-15x^3+56x

Answers

Answer:

x2(x−8)(x−7)

Step-by-step explanation:

Factor

Factor x2 out of x4−15x3+56x2.

x2(x2−15x+56)

x2(x−8)(x−7)

Help So this is from geometry and I’m kind of confused???

Answers

Answer:

4√6 /3

Step-by-step explanation:

In the given trapezium PQRS , A and B are the mid - points of the diagonals QS and PR respectively. Prove that :
1. AB [tex] \parallel[/tex] SR

2. AB = [tex] \frac{1}{2} [/tex] ( SR - PQ )

[ Hint : Join Q and B and produce QB to meet SR at C ].

~Thanks in advance !

Answers

Answer:

See Below.

Step-by-step explanation:

In the given trapezoid, A and B are the mid-points of QR and PR, respectively.

Question 1)

Please refer to the first diagram below.

As instructed, we will join Q and B to produce QB to meet SR at C.

Statements:                                                Reasons:

[tex]1)\text{ } PQ\parallel SR[/tex]                                                 Given

[tex]2)\text{ } \angle RCQ\cong \angle PQC[/tex]                                     Alternate Interior Angles Theorem

[tex]3)\text{ } B \text{ is the midpoint of } PR[/tex]                        Given

[tex]4)\text{ } PB=BR[/tex]                                               Definition of Midpoint

[tex]5)\text{ } \angle CRB\cong \angle QPB[/tex]                                    Alternate Interior Angles Theorem

[tex]6)\text{ } \Delta CRB\cong \Delta QPB[/tex]                                    AAS-Congruence

[tex]7)\text{ } QB\cong CB[/tex]                                               CPCTC

[tex]8)\text{ }A\text{ is the midpoint of } SQ[/tex]                         Given

[tex]9)\text{ } SA=AQ[/tex]                                                Definition of Midpoint

[tex]10)\text{ } AB\parallel SR[/tex]                                               Triangle Midsegment Theorem

Question 2)

(We will use the proven statements above as "given.")

(And please continue referring to the first figure provided.)

Statements:                                             Reasons:

[tex]1)\text{ } AB\parallel SR[/tex]                                               Given

[tex]2)\text{ } \angle QSR\cong\angle QAB[/tex]                                   Corresponding Angles Theorem

[tex]3)\text{ } \angle SCQ\cong\angle ABQ[/tex]                                   Corresponding Angles Theorem

[tex]4)\text{ } \Delta SCQ\sim \Delta ABQ[/tex]                                  Angle-Angle Similarity

[tex]5)\text{ } \displaystyle \frac{SQ}{AQ}=\frac{SC}{AB}[/tex]                                            CSSTP

[tex]6)\text{ } A\text{ is the midpoint of } SQ[/tex]                       Given

[tex]8)\text{ } SA=AQ[/tex]                                              Definition of Midpoint

[tex]9)\text{ } SQ=SA+AQ[/tex]                                    Segment Addition

[tex]10)\text{ } SQ=2AQ[/tex]                                          Substitution

[tex]11)\text{ } \displaystyle \frac{2AQ}{AQ}=\frac{SC}{AB}[/tex]                                        Substitution

[tex]12)\text{ } \displaystyle 2=\frac{SC}{AB}[/tex]                                               Division Property of Equality

[tex]13)\text{ } 2AB=SC[/tex]                                          Multiplication Property of Equality

[tex]14)\text{ } SR=SC+CR[/tex]                                   Segment Addition

[tex]15)\text{ } \Delta CRB\cong\Delta QPB[/tex]                                Given

[tex]16)\text{ } CR\cong PQ[/tex]                                            CPCTC

[tex]17)\text{ }SR=SC+PQ[/tex]                                   Substitution

[tex]18)\text{ } SC=SR-PQ[/tex]                                   Subtraction Property of Equality

[tex]19)\text{ } 2AB=SR-PQ[/tex]                                 Substitution

[tex]\displaystyle 20)\text{ } AB=\frac{1}{2}(SR-PQ)[/tex]                              Division Property of Equality

Answer:

Given: In trapezium PQRS, A and B are midpoints of diagonals PR and QS.

To Show: AB=1/2(SR-PQ).

Construction:draw midpoints C and D of SP and RQ respectively and join CA and BD

Proof: In triangle SPQ ,C and B are midpoints of SP and SQ

Therefore,by midpoint theorem

CB || PQ and 2CB= PQ ......1

In triangle QSR B and D are midpoints of QS and RQ

Therefore, by midpoint theorem

BD II SR and 2BD =SR..2

In triangle SPR C and A are midpoints of SP and RP

Therefore by midpoint theorem

CA = 1/2 SR .3

From 2

2 BD = SR =

BD =1/2 SR ........4

From 3 and 4

CA = BD ........,.......5

From 1 and 2

SR -PQ= 2 BD -2 CB -

SR-PQ = 2( BD-CB)

From 5

CA = BD ,

Therefore,

1/2(SR-PQ) =AB

AB= 1/2(SR-PQ)

Hence Showed

n
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
O y=-x+9
y=-*x+5
y=-3x - 11y
y=-3x + 25

Answers

Answer:

Y=-3x-11y

Step-by-step explanation:

Not sure but I am pretty sure it is this

Can you help me find X

Answers

Answer:

x=70+50

x=120

tell me if u need explanations or steps

It is 120 you add those angles shown together

A culture started with 3,000 bacteria. After 4
hours, it grew to 3,600 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P = Aekt

Answers

Answer:

4500

Step-by-step explanation:

4 hours = 3600

8 hours = 4200

10 hours = 4500

solve the equation -16(d+1) =-20

Answers

Answer:

d= 1/ 4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

-16(d + 1) = -20

-16d - 16 = -20

-16d - 16 + 16 = -20 + 16

-16d = -4

-16d/-16 = -4/-16

d = 1/4

Given f(x) = 2x -8 write out in words

Please help this is due today and I really need help.

Answers

Step-by-step explanation:

if X = 1

then f(x)=2×1-8 = 6

I'm not sure

Use the distributive property to write an equivalent and simplified expression 12(3y+x)

Answers

36y+12x


I nneeesdd 20 characters

B. Solve:
1. An item price at P3,600 has a 25% discount. Find the
discounted price.

2. John lives twice as far from school as Mona does. If
the total distance that John and Mona travel every
school day is 8.7 km, how far from school does John
live?

3. Find two consecutive integers whose sum is 143.
(hint: let x-the first integer, X+1-second integer)​

Answers

Answer:

1. 3600 x 25 ÷100 =900

there fore the discount price is p900

3. it means if you add to integers you get 143

so x +x+1=143

2x +1=143

2x+1-1=143_1

2x=142

2x/2 =142/2

x=71

x+1=71+1=72

1.
3/4 x 3600= 2700
Answer: P2700
2.
8.7/3=4.9
4.9x2=5.8
Answer: John lives 5.8 km from school
3.
x+x+1=143
2x=142
X=71
Answer: 71,72

Determine the scale factor of the dilation, if OA = 7 and OA' = 21.

Answers

Answer:

i think its 3

Step-by-step explanation:

21/7=3

The second figure OA' divided by first figure OA = 21/7=3

how do I solve -3x+8y=18 and -x+y=-4​

Answers

9514 1404 393

Answer:

  (x, y) = (10, 6)

Step-by-step explanation:

Any of the usual methods work to solve this: elimination, substitution, graphing, matrix methods. For a "no-work" solution, I prefer a graphing calculator.

__

In the second equation, both x and y have coefficients of ±1, so substitution or elimination can be used with equal ease. Adding x to the second equation gives an expression for y that can be substituted in the first equation.

  y = x -4

  -3x +8(x -4) = 18

  -3x +8x -32 = 18 . . . eliminate parentheses

  5x = 50 . . . . . . . . . add 32, collect terms

  x = 10 . . . . . . . . . . .divide by 5

  y = 10 -4 = 6 . . . . . use the expression for y to find y

The solution is (x, y) = (10, 6).

PLEASE HELP :)))

triangle similarity theorem

Answers

Answer:

9i

Step-by-step explanation

Solve the equation for y. 7x + y = 10

Answers

Answer:

y=10

Step-by-step explanation:

Let x equal 0

7(0)+y=10

0+y=10

y=10

7x+y=10
7x-7x+y=10-7x
0+y=10-7x
y= -7x + 10

ahhhhhhhhhhhhhhh why why why please help

Answers

Answer:

11

3

-3

-12

Step-by-step explanation:

Answer:

1) 11

2) 3

3) -3

4) -12

Especial on a cruise to Atlantis is advertising is being eight nights of the regular price the regular price is $1827 what is the sales price price

Answers

Answer:

$14,616

Step-by-step explanation:

The computation of the sales price is shown below:

The regular price is $1,827

And it would be advertised having 8 nights of the regular price so here we assume that the sales price is 8 times of the regular price

so, the sales price is

= $1,827 × 8

= $14,616

Need an answer right away! Thank you for your time!

Answers

Answer:

4/13

Step-by-step explanation:

There are three face cards and four of each, plus four ace cards, for a total of 16.  Thus, the probability of drawing an ace or a face card is 16/52, or 8/26, or 4/13.

Answer: 4/13

brains and stupi head combined

Pls will mark brainliest if right!
Determine if the conditions stated would result in a unique quadrilateral?
A. a trapezoid with three 12-yd sides (yes or no)
B. a rhombus with a perimeter of 36 ft. and one right angle (yes or no)
C. a quadrilateral with four 9-ft. sides and two acute angles (yes or no)
D. a rectangle with a length that is 5-inch. less than width
C. a parallelogram with a right angle, two 7-mm and two 8-mm sides

Answers

Answer:

A) no

B) yes

C) no

D) yes

E) yes

Step-by-step explanation:

John has 2,700 seeds of corn to plant in 9 rows on his farm. Each row will have the same number of seeds. Part A Which basic fact can John use to find out how many seeds will be planted in each row?

Answers

Answer: A. We will divide total seeds by the number of total rows.

300 seeds will be planted in each row.

Step-by-step explanation:

Given: Total seeds = 2700

Total rows = 9

If each row will have the same number of seeds.

Then,  the number of seeds will be planted in each row = (Total seeds) ÷ (Total rows)

= 2700÷9

= 300

Hence, 300 seeds will be planted in each row.

A 4-foot-long sandwich is cut into servings that are each foot long. How many
servings will there be after the sandwich is cut?
3
12

Answers

Answer: 4

Step-by-step explanation:

If the foot-long sandwhich is 4 feet long, and is cut into parts that are each 1 foot long, then we need to divide 4 by 1.

4 ÷ 1 = 4, so there will be 4 servings after the sandwich is cut.

Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for π

Answers

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

A straight angle is broken into 3 angles. The first angle measures 38°, the second angle is a right angle. What is the measurement of the 3rd angle?


Answer: The measurement of the 3\large ^{rd} angle is

Answers

Answer:

52°

Step-by-step explanation:

Let the measure of the third angle be x°.

Since, straight line is broken into three angles. So, the sum of all the three angles will be equal to 180°.

38° + 90° + x = 180°

128° + x = 180°

x = 180° - 128°

x = 52°

Answer:

52°

Step-by-step explanation:

So, we basically know that,

A straight Angle=180°

When it has been broken into 3 pieces, we have gotten one which is 38°and a right angle.

Now , we know that

A right angle= 90°

So, we need to do,

Sum of known angles= 38+90=128°

Lastly,

Unknown angle = 180° - 128° = 52°

A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 15 ft?

Answers

Answer:

706.5 ft^2

Step-by-step explanation:

area = radius^2 (Pi)

15^2(3.14) = 706.5

Answer:

706.95ft^2

Step-by-step explanation:

Find area of a circle

A=πr^2

A=22/7*15ft^2

A=706.95ft^2

Which answer choice shows the decimals in order from least to greatest?
A. 0.013, 0.0104, 0.0118, 0.0108, 0.00149
B. 0.00149, 0.0104, 0.0108, 0.0118, 0.013
C. 0.013, 0.0118, 0.0108, 0.0104, 0.00149
D. 0.013. 0.0118. 0.0108. 0.00149. 0.0104

Answers

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

The correct answer is B!
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