Linear equations

Show your work

Solve for x

x-4/y+2 = 5

Proof (reasons are given in brackets):

Consider [tex]\triangle ABC[/tex], [tex]\triangle EDC[/tex]:

[tex]\overline B \overline C = \overline D \overline C[/tex] (given)

[tex]\angle BCA = \angle DCE[/tex] (vertically opposite angles are equal)

[tex]\overline A \overline C = \overline E \overline C[/tex] (given)

[tex]\therefore \triangle ABC \cong \triangle EDC[/tex] (SAS)

Hope this helps :)

Answer:5:19 and 14:19

Step-by-step explanation:

If wire 1 is 5 units long and wire 2 is 14 units long, when joined together they will be a total of 19 units long.

Answer:

That answer is 1.814

Step-by-step explanation:

Answer:

The unit rate is about 10 cents per fluid once of grape of juice.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

USE PYTHOGORAS THEOREM

A²=C²-B²

C²=3600

B²=2304

3600-2304=1296

√1296=36

hope it helps

Have a nice Day , I would appreciate it if you could mark my answer brainliest

9514 1404 393

Answer:

  $1400

Step-by-step explanation:

Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.

Then the total interest over 3 years is ...

  3(4.3%·x +5.9%(5400 -x)) = 888.60

  -1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify

  -1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60

  x = 22.40/0.016 = 1400

The student borrowed $1400 from Bank 1.

Answer:

8x +11y = 37 ---------(1)

_8x±y=_7 ----------(2)

-------------------

o+10y=30

Y=3

PUT  Y IN EQ 2

8X+3=7

8X=7-3=4

X=1/2

Ans

I hope this Ans is helpful for you

Step-by-step explanation:

Answer:

6800

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

edge 2021

The required coordinates of Amy's position are (1.00, 1.73).

Amys walk 2 miles 60° northeast from her house. Vector coordinates to be determined.

Coordinate is defined as the abscissa and ordinate of the x-axis and y-axis respectively.

Amy walk 2 miles on 60° northeast, from origin.

x coordinate = 2cos60
                      = 2 * 1/2
                      =  1
y coordinate = 2sin60
                     = 2*√3/2
                     =   1.73

Thus, the required coordinates of Amy's position are (1.00, 1.73).

Learn more about coordinate here:
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Answer:

Objects

Step-by-step explanation:

Normally, we make use of reciprocal pronouns in cases where each of two or more subjects are acting in the same manner towards one another. For example, X is talking to Y, and Y is talking to Z.

Thus, the subjects in question must be the same objects for them to be able to relate in the same way.

Answer:objects

Step-by-step explanation:

Answer:

The magnitude of vector is:

[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  [tex]\sqrt{61},\:SE[/tex]

Step-by-step explanation:

Given the vector

v = <5, -6>

Determining the magnitude of the vector

To find a magnitude of a vector v = (a, b) we use the formula

[tex]||v||\:=\:\sqrt{a^2+b^2}[/tex]

Magnitude of the vector is basically termed as the length of the vector, which is denoted by

[tex]|\left(5,\:-6\right)|=\sqrt{\left(5\right)^2+\left(-6\right)^2}[/tex]

            [tex]=\sqrt{5^2+6^2}[/tex]

             [tex]=\sqrt{25+36}[/tex]

             [tex]=\sqrt{61}[/tex]

Thus, the magnitude of vector is:

[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]

As the vector v = <5, -6> lies in 4th quadrant.

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  [tex]\sqrt{61},\:SE[/tex]

Answer:

Step-by-step explanation:

Given

[tex]y = \frac{1}{6}x + 60[/tex]

Required

Interpret the slope and y intercept

The general form of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m=slope[/tex]

[tex]b = y\ intercept[/tex]

By comparison

[tex]m = \frac{1}{6}[/tex]

[tex]b = 60[/tex]

Interpretation:

Slope represents rate and y intercept represents the number of chirps at time 0.

So, the interpretations are:

Slope: The cricket chirps at a rate of [tex]\frac{1}{6}[/tex] chirps per minute

y intercept: The initial number of chirps is 60

Answer:

false

Step-by-step explanation: The 7 is in the tenths place the hundredths place is the 3rd number to the right of the decimal point.

Answer:

w > -3

y - 1/2 ≤ -3/2

Answer:

12 and 13

Step-by-step explanation:

12+13= 25

13-12= 1

Answer:

x=2

Hope I helped

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer: number 3 is the correct answer

2 1/5

Step-by-step explanation:

Answer:

number 3 is correct I hope this helps

Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine the border line of the graph of y < - x² + 4x + 5

A broken line results from the inequality using < or >.

x and y are both equal to zero at the coordinates (0, 0).

Substitute the values of x = 0 nad y = 0 in the inequality  y < - x² + 4x + 5

So, (0) < (0)² + 4(0) + 5

Since (0) < (0)² + 4(0) + 5 is valid,

Thus, the coordinates (0, 0) are part of the solution.

Learn more about inequalities here:

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Answer: (3,4) (-3,4) (3,-3) (-3,-2)

Step-by-step explanation:

Answer

925 students brought their lunch.

Explanation

First let's rewrite the equation.

You know that "of" means multiply and "is" means equal.

Okay, so let's break it down.

The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."

This means that 74% of 1250 students brought their lunch at the cafeteria.

You are trying to find how many students brought their lunch. This will be x.

So the equation would be this.

74% × 1250 = x

74% is 0.74.

0.74 × 1250 = x

0.74 × 1250 = 925

So 925 students brought their lunch.

Answer:

she did not get at least 2100 and definitely not 85% of the worth

Step-by-step explanation:

3000*0.85=2550

3000*0.7=2100

Answer:

Gia hoped to sell it for $2,550, but wanted at least $2,100. Because it sold for $1,800, she did not get what she hoped and/or wanted.

Step-by-step explanation:

85% of $3,000 can be solved by moving the decimal two places to the left and multiplying: 85.0% becomes 0.85. So, we multiply 0.85x3,000=$2,550.

We do the same thing to figure out 70% of $3,000. Again, solving it by moving the decimal two places to the left and multiplying: 70.0% becomes 0.70. So, we multiply 0.70x3,000=$2,100.

Answer:

That would be 38.4.

minimum value: 1

lower quartile: 3

median of the data: 6

upper quartile: 8

maximum value: 14

Sorry for the late answer, i hope this will help you in the future and everyone else who reads this.

Answer:

The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation, dimensionless.

[tex]P(x,y)[/tex] - Original point, dimensionless.

[tex]k[/tex] - Scale factor, dimensionless.

[tex]P'(x,y)[/tex] - Dilated point, dimensionless.

If we know that [tex]O(x,y) = (0, 0)[/tex], [tex]k = 2[/tex], [tex]A(x,y) = (1,1)[/tex], [tex]B(x,y) = (2,2)[/tex], [tex]C(x,y) = (4,1)[/tex] and [tex]D(x,y) = (2,-1)[/tex], then the dilated points are, respectively:

Point A

[tex]A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)][/tex] (2)

[tex]A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)][/tex]

[tex]A'(x,y) = (2,2)[/tex]

Point B

[tex]B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)][/tex] (3)

[tex]B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)][/tex]

[tex]B'(x,y) = (4,4)[/tex]

Point C

[tex]C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)][/tex]

[tex]C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)][/tex]

[tex]C'(x,y) = (8,2)[/tex]

Point D

[tex]D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)][/tex]

[tex]D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)][/tex]

[tex]D'(x,y) = (4,-2)[/tex]

The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].

Answer:

that answer is 47/20

Step-by-step explanation:

52-5=47

20-20=20

52/20-5/20=47/20

Answer:

50/20-5÷20=2.35

Step-by-step explanation:

I used a calculator i hope it helps : )