Mathematics High School

Solve the simultaneous equations
x
+
y
=
5
x
=
1
+
y

Answers

Answer 1

Answer:

Step-by-step explanation:

Givens:

Eq. 1 )  x + y = 5

Eq 2 )  x = 1 + y  

plug x into Eq 1 from Eq 2

(1+y) + y = 5

algebra them out

2y = 4

y = 2

then

x + 2 = 5

x = 3

Related Questions

a group of 4 friends shares 2 packs of gum equally? there are 8 pieces of gum in each pack. which set of equations shows how many pieces of gum, g each friend recieves?

Answers

4 friends
2 packs of gum
8 pieces each pack


PEMDAS
8x2/4
16/4
4

The answer is each friend would receive 4 pieces of gum

What is the probability of spinning an even number?

Answers

Answer:

3/5

Step-by-step explanation:

there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg

Pls help will mark brainliest

Answers

answers
a) 55
b) 8
c) 3

Find the measure of the label angles below note: you must find y first

13
124
6.8
68.2

Answers

Answer:

124°

Step-by-step explanation:

since they are vertical angles, then put them equal to eachother

9y + 7 = 2y + 98

7y = 91

y = 13

9(7)+7= 124

2(13)+98= 124

Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)

Answers

Answer:

-500 (I think)

Step-by-step explanation:

y=x
2
+3x+2 & y=4x+4

Answers

Answer:

Step-by-step explanation:pho;np9yil.gboil k,

Select each true statement about this.
A cylinder has a diameter of 18cm and a height of 4cm.
The radius is 12cm
The volume of the cylinder is324 п cm
The volume of the cylinder is1296 п cm
The area of the base of the cylinder is 81 п cm?

Answers

Answer:

The volume of the cylinder is324 п cm

The area of the base of the cylinder is 81 п cm

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = 18/2 = 9

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

n x (9^2) x 4 = 324n

Area of the base of the cylinder : Area of a circle = πr² =  π x 9^2 = 81 π

y=x^2-3, what is your y value when x=4​

Answers

Answer:

13

Step-by-step explanation:

4^2 is 16

16-3=13

that's all that you have to do you replace the x with 4 and do a normal equation

Answer: y=13

Y=(4)^2-3

y=16-3

y=13

Find the measure of angle b. PLZ HELP AND SHOW WORK

Answers

Answer:

1) A because of vertical angle theorem (VAT), which means that b=37 degrees

2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees

3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees

4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees

5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees

Find the circumference of the circle using C = pi•D​

Answers

Answer:

The correct answer is the third choice, 14 pi.

The choice you selected is wrong.

Circumference =  πD

=  diameter is 14, so its 14π

What is the distance between two points(0,0)(-3,5)

Answers

Step-by-step explanation:

Think of it like a right triangle. Do you have a graph handy?

Ok, graph both of the points. Now connect the points. That's our hypotenuse and the side length we want to find.

Now, bring down a line from (-3,5) to the x axis. Do you see a right triangle?

All we have to do is find the hypotenuse of this right triangle we just drew. We already have the leg lengths which are 3 and 5. Using this, do the pythagorean theorem.

9+25=34

√34 is our hypotenuse & distance between the points

Answer:

[tex]\displaystyle d = \sqrt{34}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 0)

Point (-3, 5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(-3-0)^2+(5-0)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(-3)^2+(5)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{9+25}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{34}[/tex]

On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?

Answers

Answer:

7.8 miles.

Step-by-step explanation:

5.2 x 1.5 = 7.8

Write the equation of the line in slope-intercept form that has a slope of -1/2 and goes through the point (2,3)

Answers

ANSWER : y=-1/2x+4
Y=mx+c
Gradient = y2-y1/x2-x1
Gradient = -1/2 as mentioned
y=-1/2x+c
Pick (2,3) 2 as x variable and 3 as y
3=-1/2(2)+c
3=-1+c
3+1=c
4=c
Equation y=-1/2x+4

simplify 6p/p-1 - p+5/p-1

Answers

Answer:

-(p+1) (p-5)/ P

Step-by-step explanation:

What kind of triangle is this?
54°
95°
31°
acute
right
obtuse

Answers

54° is acute

95° is obtuse

31° is acute

I believe its obtuse since right measures exactly 90 and acute is less than 90 so C

please help i’ll give brainliest!!! thanks

Answers

i think lack of order

Answer:

Lack of order

Step-by-step explanation:

Solve for x.
2x + 24
3x - 26
x = [?]

Answers

Answer:

set them equal to eachother, i gotta look at my notes tho

Step-by-step explanation:

I think it's like this

3x-26=2x+24

We simpilfy the equation to the form which is simple to understand.

3x-26=2x+24

We move allterms containing X to the left and all others terms to the right

+3x-2x=+24+26

We simplfiy left and right sideof the eqution.

+1x=+50

We divide both sides of the equation by 1 to get x.

x=50

Which is the graph of f(x) = 2(3)x ?

Answers

Answer:

A

Step-by-step explanation:

the rest are inccorect

Identify who is correct
Describe the mistake that was made

Answers

Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have

2 x 4k - 2 x 3

which gives you

8k - 6

Answer:

Taniyah

Step-by-step explanation:

Taniyah is correct because you need to:

diistribute : 8k - 6 - 6k = 14

combine like terms : 2k - 6 = 14

add 6 to both sides : 2k - 6 + 6 = 14 + 6

simplify : 2k = 20

divide both sides by the same factor : 2k/2 = 20/2

simplify : k = 10

4
20.9÷10
10 points pls help

Answers

Answer:

SO first we need to get our numbers.

WE see 20.9 and 10.We learned in school that when

you multiply decimals itll show the placr its in.

So it basically shows you the answer.

Now lets divide, 20.9 divided by 10=2.09

Hope this helped my g!

Step-by-step explanation:

Marking brainliest

What human right is based on race? Im doing a research essay and I will talk about how Georgie Floyd’s rights were violated but I don’t know what human right to use

Answers

Answer:

Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.

Step-by-step explanation:

these are the 5 basic rights, most of them were taken for george floyd

hope this helped

i need help write expression in exponential from

Answers

3. 5x5x5. i am not sure if i am correct but i am assuming it is that.

If 75% of a number is 300 and 20% of the same number is 80, find 95% of that number.

Answers

Answer:

380

Step-by-step explanation:

380/400 is 95%

Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4

Step-by-step explanation:

Correct answer: in 44 minutes, he would run 4.8 miles

Please help me to find area of semicircle

Answers

Answer:

Use a calculator and use the formula 1/2 × pi × (radius squared)

Solve the system of linear equations.
2x + 3y = 5
X+ y = 5

Answers

X=4,y=1........!!!!!! Hope this helps

Answer:

Step-by-step explanation:

(10,-5)

Expand (2+x)(2-x). If necessaty combine like terms

Answers

Answer:

Step-by-step explanation:

(2+x)(2-x)

2(2-x)+x(2-x)

4-2x+2x-x^2

4-x^2

Charles worked for 12 hours on Wednesday. This was 3 times as long as he worked on Tuesday. How many hours did Charles work on Tuesday?

Answers

Ans:12*3=36 the answer is D

Step-by-step explanation

what is the length of side a?

Answers

Answer:

c

Step-by-step explanation:

You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05

Answers

They are expected to win back on average 50 cents back, which is a bad investment.
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