Giải hệ pt :{ 2x-3y=1
{x+2y=4

Answers

Answer 1

x+2y=4 ] × (-2) —> -2x-4y=-8

2x-3y=1

-2x-4y=-8

_________o_o___

–7y=–7 —> y =1

2x-3y=1 —> 2x -3(1)=1 —> 2x-3=1 —> 2x=1+3 —> 2x=4

x=4/2 —> x=2

(x,y) > ( 2,1)

I hope I helped you ^_^

Related Questions

linesl,mand n are parallel to each other and p is a transversal​

Answers

Answer:  126 degrees

========================================================

Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

HELP pythagorean identity

Answers

Answer:

sin x

Step-by-step explanation:

sin ^2  x + sin x + cos ^ x -1

sin ^2  x + cos ^ x   + sin x-1

We know that sin^2 x + cos ^2 x = 1

1 + sin x -1

sin x

Hi!

[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]

If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
A. 4x3+4x2
B. 4x(x)
C. 4X2 + 1
D. 4(x + 1)

Answers

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2


Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.

a.) d-22 28; d 50

b.) d - 22 > 28; d > 50

c.) d + 22 s 28; d s 72

d.) d + 22 28; d 272

Answers

Your answer she be letter b

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.  

 

What’s the rate of change in this question y=0.860x+3.302

Answers

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

find the common difference in the linear sequence sequence 69,53,47,30​

Answers

Initial request is certain

Q 14. Two friends Tina and Reeta simplified two different expressions during the revision
hour and explained toeach other their simplifications,
V2
Tina explains simplification of Torta by rationalising the denominator and Reeta
explains simplifications of (72 + V3) (12 - 13) by using identity,
i)
Vz
By rationalising the denominator of
Tina got
VSV
vz
a)
c) V5 – 13
b) V7(13-va)
d)
Vic+V5)
2
ii)
Reeta apply
a) (a+b)
identity to simplify(V2 + 13) (12 – 73).
b) (a-b)?
c) (x+a) (x+b) d) (a+b)(a-b)
iii)
(12 + V3) (72 - 73) =
a) 5 b) (74 + 6
c) 1
d) -1
iv)
All the rational and irrational numbers make up the collection of
numbers.
a) Whole numbers
b) Integers
b) c) Real Numbers
d) Irrational Numbers

Answers

I really don’t know the answer I’m sorry

In order for the parallelogram to be a rhombus, x=? (7x+13)º

Answers

Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles

If they create 90 degree angles then 7x + 13 = 90

( Note that we've just created an equation that we can use to solve for x )

We now solve for x algebraically using the equation we created

7x + 13 = 90

Step 1 Subtract 13 from both sides

7x = 77

Divide both sides by 7

x = 11

two sides of a triangle have lengths 7 and 17. find the range of possible length for the third side

Answers

by using Pythagoras theorem c2= a2 + b2

so let's say c= 17 and a= 7, let's calculate for b

(17)^2 = (7)^2 + b2

289= 49+b2

289 - 49 = b2

240 =b2

√249 = b

b = 15 . 49

13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]

We have to try:

0*x²+3*x+7=31

3x=24

x=8

Please help me with this, i need help

Answers

Answer:

woa

i  n

Step-by-step explanation:

Can someone help please and thank you

Answers

Answer:

b

Step-by-step explanation:

Bob placed a 17- foot ramp against the side of a house so the ramp rested on a ledge that is 8 feet above the ground. How far was the base of the ramp from the house?

Answers

15ft

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

The range of a sequence consists of________.

A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers

Answers

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

What is a sequence?

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

brainly.com/question/21961097

#SPJ2

Which pair of angles are corresponding angles?

Answers

Answer:

angles 3&7

Step-by-step explanation:

Anybody knows the answers to the monomial functions ?

Answers

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

what is 6^20 / 6^15? please include explanation :)

Answers

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5

The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?

Answers

Answer:

[tex](-3,4/375)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]

Reflection: Across y-axis

Required

The ordered pair on g(x)

The rule of reflection across y-axis is:

[tex](x,y) = (-x,y)[/tex]

So, we have:

[tex]g(x) = f(-x)[/tex]

f(-x) is:

[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

Recall that:

[tex]g(x) = f(-x)[/tex]

Hence:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

From the options (missing in the question), the ordered pair is:

[tex](-3,4/375)[/tex]

To check this, we have:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]

Expand

[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]

Simplify

[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]

Open bracket

[tex]g(-3) = \frac{4}{375}[/tex]

Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

what is the measure of m?

Answers

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab

Answers

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

What value of x will make the equation true?

(Square Root of 5) (square root of 5)=x

Answers

Answer:

(2.236067978)(2.236067978)

=5 ans.

If this is incorrect forgive me

I hope this will help you

stay safe

Help Now Pleaseee!!!!
Find the volume of the sphere

Answers

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238

C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°

Answers

Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

Find P(blue and even).



A. 3/5
B. 1/10
c. 7/10

Answers

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

There are in total 10 blocksThere are in total 2 blue blocksThere are in total 5 even blocks

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

2 + 5 = 7 blocks

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

7 - 1 = 6 blocks

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

6/10 = 3/5

Hope this helps!! :)

Please let me know if you have any questions

Which set of ordered pairs could be generated by an exponential function?
(negative 1, negative one-half), (0, 0), (1, one-half), (2, 1)
(–1, –1), (0, 0), (1, 1), (2, 8)
(negative 1, one-half), (0, 1), (1, 2), (2, 4)
(–1, 1), (0, 0), (1, 1), (2, 4)

Answers

Answer:

(–1, –1), (0, 0), (1, 1), (2, 8)   (y = x^2)

(–1, 1), (0, 0), (1, 1), (2, 4)   (y = x^3)

Answer:

C

Step-by-step explanation:

help!! need to find the area

Answers

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

The ages of 20 school children are recorded as follows:. 13 19 15 17 13 9 11 9 11 15 17 15 11 9 9 11 15 11 11 11. a. Make a frequency for the data b. What is the modal age c. Calculate. i) The mean age correct to the nearest whole number. ii) The range. d. What is the probability of selecting a child between the ages of 12 and 14​

Answers

Answer:

The modal age is 11

The range is the highest minus the Lowe's which is 19-9=10

Now graph the points C(2, 8) and D(8, 7). (Try entering the coordinates through the input window.) Measure the lengths of and . Do the points C and D lie on the circle? How do you know? Take a screenshot showing the points and their distances from the center, and paste it below.

Answers

Answer:

this was from plato

Step-by-step explanation:

Answer:

Any point on the circle must be at a distance from the center equal to the length of the circle’s radius. In this example, the radius is 3.61 units, AC = 4.24, and AD = 3.61. Point D, which lies on the circle, has the same distance from the center as the length of the radius. Point C, which lies outside the circle, is at a different distance from the center than the length of the radius.

The polygons in each pair are similar. Find the missing side length

Answers

Answer:

24 is the answer because 18/3=6 6x4 is 24

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