What is the solution to the linear system y=-5x-21 and y=7x+15

Answers

Answer 1

Answer:

(-3,-6)

Step-by-step explanation:

Compair, then solve for x=-3

then solve you should get y=-6

Answer 2

Answer:

(-3, -6).

Step-by-step explanation:

Since both expressions in x are equal to y:

-5x - 21 = 7x + 15

-12x = 36

x = -3.

Plug x = -3 into the first equation:

y = -5*-3 -21  

= 15 - 21

y = -6.

y =


Related Questions

What is the midpoint of the segment shown below?

Answers

Answer:

C

Step-by-step explanation:

The length of the segment is 7

2-7/2 = -3/2

(1,-3/2)

^9 belongs to what family of real numbers?

Answers

Answer:

Rational number

Step-by-step explanation:

Rational numbers repeat and terminate. The square root of 9 is 3, and 3 is a whole number as well as a number that terminates,  which makes it a rational number

YEAR 9 MATHS -SYMMETRY QUESTION

Tick whether the statement below is true or false for this rectangle.

It has rotational symmetry of order 4

(1 mark)

Answers

Answer:

32cm

Step-by-step explanation:

i think it is  symmetry of order 2 as it's rotational symmetry is 180°

Answer:

It has rotational symmetry of order 2 as it's rotational symmetry is 180°

Find the slope of the line 25 points
y
=
9
7
x
+ 1
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

97

Step-by-step explanation:

y=mx+b

m= slope

y=97x+1

Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left. How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?

Answers

Answer:

250 g

Step-by-step explanation:

160 g after two bites

80% after 1 bite

[tex]\frac{80}{100} =.8[/tex]

160 ÷ .8=200

200 ÷ .8=250

Answer:

250

Step-by-step explanation:

We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

0, 1

Step-by-step explanation:

The discriminant is b² - 4ac where we have ax² + bx + c, in this case a = -4, b = 12, c = -9 so D = 12² - 4(-4)(-9) = 0.

Because the discriminant is 0 that means that f(x) only has one solution for x meaning that it has only 1 x-intercept.

Who can solve for Y ? 2y < -4

Answers

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

Answer:

y <-2. :::::::::::::::::::::::

Step-by-step explanation:

2y< -4 ==> y<-2

Would the midpoint (2,2) be correct?

Answers

Answer: YES, Its correct.

[tex]M_x=\frac{-6+2}{2}=2\\\\M_y=\frac{-3+7}{2}=2\\\\M=(2,2)[/tex]

Answer:

(-2,2)

Step-by-step explanation:

The midpoint is the middle of the line. So, you can take it step-by-step and look at the individual numbers.

Between -6 and 2, that is 8 spaces. So, the middle would be four spaces from one of those numbers. Therefore, X-COORDINATE = -2

Between -3 and 7, that is 10 spaces. So the middle would be 5 spaces from one of those numbers, Therefore, Y-COORDINATE = 2

So, the midpoint would be (-2,2)

what is the perimeter of a rectangle 3m long amd bm broad?​

Answers

[tex]answer = 6 + 2b\\ solution \\ length = 3 \: m \\ breadth = b \: m \\ perimeter \: of \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(3 + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 3 + 2 \times b \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 + 2b \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The perimeter of the rectangle is P = 6 + 2b, where b is the width.

Given data:

To find the perimeter of a rectangle, we add the lengths of all its sides. In this case, the rectangle is 3 meters long and b meters broad.

The perimeter is calculated as follows:

Perimeter = 2 × (length + breadth)

Given that the length is 3 meters and the breadth is b meters, substitute these values into the formula:

Perimeter = 2 × (3 + b)

Simplifying the expression,

Perimeter = 6 + 2b

Hence, the perimeter of the rectangle is 6 + 2b meters.

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If quadrilateral WXYZ is reflected over the y-axis, what will be the coordinates of point X ′ in the image?

Answers

Answer:

(-1,6)

Step-by-step explanation:

When you reflect over the y-axis, the x value becomes the opposite sign

Answer:

-1 6

Step-by-step explanation:

i copied the first answer

Use the figure below. Which angle is congruent to ∠ACB? A. ∠ABC B. ∠AED C. ∠ADE D. ∠DAE

Answers

Answer:Option B

<AED

Explanation:

B is the mid point of AD.( since AB=BD)

C is the mid point of AB( since AC=BC)

Therefore BC is parallel to DE.

Angle ACB= Angle AEB

Corresponding angles are equal.

And hence, they are congruent.

Hope it helps

Good luck on your assignment

The angle congruent to ∠ACB is B. ∠AED.

What are congruent angles?

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

Congruent Angles have the same angle (in degrees or radians).

Now from the given figure,

In triangle  ABC and triangle AED

AC = CB

BC is parallel to DE

Thus, by law of congruent angles, interior angles are equal,

Thus, ∠ACB = ∠AED

this is the required congruent angle of ∠ACB.

Thus, the angle congruent to ∠ACB is B. ∠AED.

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If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2%

Answers

Answer:

It will double in the year 2063

Step-by-step explanation:

Let the amount deposited be $x, when it doubles, the amount becomes $2x

we can use the compound interest formula to know when this will happen

The compound interest formula is as follows;

A = P(1+r/n)^nt

In this question,

A is the amount which is 2 times the principal and this is $2x

P is called the principal and it is the amount deposited which is $x

r is the interest rate which is 3.2% = 3.2/100 = 0.032

n is the number of times compounding takes place per year which is quarterly which equals to 4

t is the number of years which we want to calculate.

Substituting all these into the equation, we have;

2x = x(1+0.032/4)^4t

divide through by x

2 = (1+ 0.008)^4t

2 = (1.008)^4t

we use logarithm here

Take log of both sides

log 2 = log (1.008)^2t

log 2 = 2t log 1.008

2t = log 2/log 1.008

2t = 86.98

t = 86.98/2

t =43.49 which is 43 years approximately

Thus the year the money will double will be 2020 + 43 years = 2063

Bernard is one and half times old as Henry six years ago he was twice as old as Henry how old are the boys now

Answers

Answer:

Henry=12, Bernard=18

Step-by-step explanation:

let Henry's age = x

let Bernard's age= 1.5x

according to d passage 6yrs ago x×2=1.5x

mathematically that is (x-6)2=1.5x-6

2x-12=1.5x-6

2x-1.5x=-6+12

0.5x=6

divide both sides by the co-efficient of x which is 0.5 can also be written as ½

there fore x=6÷½

x=Henry's age=12years

1.5x=Bernard's age=12×1.5=18years

What is 8*4 equal to

Answers

Answer:

The answer would be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

The graph below represents the distance a pilot is from the home airport during a period of time.

Answers

Answer:

C. Decreasing

Step-by-step explanation:

if a+b=7, and a2+b2 =25 then an=?​

Answers

Answer:

Solution set:  (3, 4) and (4, 3)

Step-by-step explanation:

Please, to indicate exponentiation, use " ^ ":  a^2 and b^2

Then you have:

a + b = 7 and a^2 + b^2 = 25.

Let's eliminate b:  Solve a + b = 7 for b, obtaining b = 7 - a.

Then we have:

a^2 + (7 - a)^2 = 25, or

a^2 + 49 - 14a + a^2 - 25 = 0, or

2a^2 - 14a + 24 = 0, or

a^2 - 7a + 12 = 0, which factors as follows:

(a - 3)(a - 4) = 0

This results in a = 3 and a = 4, in which case the equation a + b = 7 tells us that the b values are 4 and 3 respectively.

Solution set:  (3, 4) and (4, 3)

I need the answer for this: 7y+4/y+2=4/3

Answers

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

How do I complete this formal check?

Answers

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

Help ? What’s the answer ?

Answers

Answer:

D. - i

Step-by-step explanation:

i = √( - 1)

i³ = √( - 1)*√( - 1)*√( - 1) = √(-1)² *√(-1) = - 1*i = - i

what is the value of x?

Answers

Answer:

60 degrees

Step-by-step explanation:

Since the two lines are intersecting, the angles formed by them are vertical angles. Therefore:

2x+24=144

2x=144-24=120

x=120/2=60

Hope this helps!

Step-by-step explanation:

Therefore,

2x+24= 144° [ Vertically positive angles]

Or, 2x= 144-24

Or, 2x= 120

Or, x= 120/2

Therefore, x= 60°

What is the slope of the line y = 3?

Answers

The answer is zero hope this helps

Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E. Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB

Answers

Answer:

(D) [tex]\angle CAB[/tex].

Step-by-step explanation:

The diagram is attached below:

Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.

In the diagram:

[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.

The third angle is [tex]\angle BAF[/tex]

The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].

Therefore, the exterior angle of triangle ABF is  [tex]\angle CAB[/tex].

Answer:

D

Step-by-step explanation:

Just took the test and got it right

Yoooooo help me out pls

-ayyyyy

Answers

Answer:

probably a. metres

Step-by-step explanation:

hectometres are huge and the other two are super small so thats my guess lol

Answer:

Step-by-step explanation:

A square meters-

Millimeters are super small

And the other ones are to huge

Dats easy

Can ya help me on this ??! I need this for today i’ll fr cashapp you money the instant that you do this like im mad desperate !!!

Answers

Answer:

En la imagen te la dejo jajaa

please answer asap (don't need explanation)

Answers

Answer:

The slope is 60.

Points for the graph are: (0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)

Step-by-step explanation:

I don't know what the question is but I will tell you your graph is horribly wrong.

The points for the graph is:

(0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)

i think of a number , take away 1 and multiply the result by 3

Answers

Answer:

Step-by-step explanation:

Let the number be x

Take away 1: x -1

Then multiply the result by 3:  (x- 1) * 3 = (x-1)3 or 3x - 3

PLEASE HELP!!!!!!! Which of the following sets of data does not contain an outlier? A.25, 33, 29, 31, 33, 33, 78, 28 B.101, 99, 98, 111, 11, 101, 103 C.45, 45, 45, 45, 35, 45 D.6, 7, 5, 8, 9, 1

Answers

Answer:

Choice C.

Step-by-step explanation:

Choice C has the most numbers close together, and not far away like an outlier.

Please mark me BRAINLIEST! Thanks!

Answer:

D.6, 7, 5, 8, 9, 1

Step-by-step explanation:

A.25, 33, 29, 31, 33, 33, 78, 28   78 is an outlier

B.101, 99, 98, 111, 11, 101, 103           11 is an outlier

C.45, 45, 45, 45, 35, 45    35 is an outlier

D.6, 7, 5, 8, 9, 1   no outliers  the numbers are within 1.5 of the IQR


Which diagram represents a line of symmetry for the regular pentagon?

Answers

The correct answer is Pentagon 2 or B

Explanation:

In mathematics and related disciplines, a line of symmetry is a line that divides a figure, for example, a triangle, circle, or pentagon into two symmetrical or equal sides. This means you can fold the image following the line and both sides will be identical. This occurs in the second pentagon because the line that begins in the top of the figure divides it into two equal sides. Indeed each of the sides includes half of the base and two angles that coincide if you fold the figure following line.

Answer:

its b

Step-by-step explanation:

literally the only one you can fold in half

help plz...................

Answers

Answer:

3/5

Step-by-step explanation:

cos F = adjacent side/ hypotenuse

Cos F = 6/10

Cos F = 3/5

Answer:

6/10 which is 3/5

Step-by-step explanation:

Which of the following is most likely the next step in the series?
A.
B.
C.
D.

Answers

Answer: A. Triangle

Step-by-step explanation: Its A because its in order of number of sides starting from the left side. It goes 6 sides, 5 sides, 4 sides, then next should be 3 sides.

Answer:

A

I think A is the correct answer and this can only be true if we are following the sequence because the first shape has 6 sides followed by 5 and 4 so probably 3 should be the next.

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