Mathematics High School

What do the following two equations represent?
. 4x + 2y = 10
• 4x – 2y = –10
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines

Answers

Answer 1

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

2y=-4x+10= Y=-2x+5

-2y=-4x-10= Y=2x+5

Related Questions

Make x the subject of the formula: y=x^{2} + 5

Answers

First, multiply both sides by (x - 5), so you end up with:

(x-5)y = x + 2

Which can be expanded to give you:

xy - 5y = x + 2

Now add 5y to both sides to obtain:

xy = x + 2 + 5y

Now subtract x from both sides:

xy - x = 2 + 5y

Factorise x out:

x(y - 1) = 2 + 5y

Divide both sides by (y - 1):

x = 2 + 5y/y - 1

There you go, x is now the subject.

Oceanside Bike Rental Shop charges a 13 dollars fixed fee plus 7 dollars an hour for
renting a bike. Keith paid 69 dollars to rent a bike. How many hours did he pay to have
the bike checked out? Let h = number of hours bike was checked out

Answers

Answer:

8 hours

Step-by-step explanation:

69-13=56

56/7=8

13+7h=69

Choose the graph that matches the following system of equations:

x + y = 4
2x + 3y = 18

Picture of coordinate plane with line y equals negative x plus 4 and line y = equals negative 2 thirds x plus 6. They intersect at negative 6, 10.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x plus 6. They intersect at 6, 2.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x minus 6. They intersect at negative 1.2, negative 5.2.
Picture of coordinate plane with line y equals x plus 4 and line y equals negative 2x plus 6. They intersect at 0.67, 4.67.

Answers

Answer:

Line x-intersect: -6

y-intersect: 10

Step-by-step explanation:

X + y = 4

x = 4-y

2(4-y) + 3y = 18 (substitution)

8-2y+3y = 18

y = 18-8

y = 10

x + 10 = 4

x = -6

Explanation of approximation, decimal place, significant figure

Answers

Answer:

im not an expert in math but i'll do my best:

1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.

2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.

3. significant figure is kind of hard to explain, so i'll jump into the example straight away.

5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.

if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)

lets take a trickier example, 0.064591

in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.

however, 0 can be a significant figure if it's after another number. for instance 0.90672

the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.

sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!

Hii I would love if anyone would be able to give me the answer to this <3

Answers

Answer:

×=40

Step-by-step explanation:

The total value of all the angles on any line is 180

so x+(4x-20)=180

40+(4×40-20)=180

Answer:

40°

Step-by-step explanation:

The sum of angles x and (4x - 20) is 180°

x + (4x - 20) = 180

5x = 200

x = 40°

30x - 12y
i need help

Answers

Step-by-step explanation:

if you factor it will be 6(5x-2y)

if you graph the slope will be 5/2

3. The sum of the second term and the ninth term of an arithmetic sequence is -5. The sum of the third and fourth terms of the same sequence is 7. Find the first term of the sequence.
​

Answers

Answer:

First term of the sequence is [tex]11[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference

We have

The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]

[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]

The sum of the third and fourth terms of the same sequence is [tex]7[/tex]

[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]

eqn 1 - eq2

[tex]4d=-12\\\\d=-3[/tex]

Substituting in eqn 1

[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]

First term of the sequence is [tex]11[/tex]

what cubed is equal to 1000?

Answers

Answer:

10

Step-by-step explanation:

i keep this all day what is 6 + 6 × 6 + 6 ÷ 6=

Answers

Answer:

43

Step-by-step explanation:

6 + 6 × 6 + 6 ÷ 6

using BIDMAS, we do the division first

6÷6=1

then multiplication

6×6=36

leaving us with:

6+36+1=43

Hopefully this helped- have a good day)

Let's do

6+6×6+6÷66+36+17+3643

Done!

An 18-foot ladder is leaning against a wall. The bottom of the ladder is 4.5 feet from the base of the wall.


How high up the wall does the ladder reach? Round your answer to the nearest tenth, if necessary.

A

13.5 feet

B

18.6 feet

o

С

22.5 feet

D

17.4 feet

Answers

Answer:

d

Step-by-step explanation:

use Pythagoras theorem

that is a²+b²=c²

so 4.5²+b²= 18²

rearrange to b²=18²-4.5²

so you get b=

[tex] \sqrt{303.75} [/tex]

that is equal to 17.42842506

y^2 - 19 = 0 find the sum and product

Answers

Answer: Sum of the roots:  √19 - √19 = 0

Product of roots:  (√19)(-√19) = -19

Step-by-step explanation:

y2 - 19 = 0

add 19 to both sides

y2 = 19

take square root of both sides

y = ±√19

So y = √19 or y = -√19

Help ME!

Question 1: Evaluate the expression:
2+5⋅8

Question 8: 10÷(3−1⋅2)

Option answers for Question 8: 4, 10, 10/4, and 2.5

Answers

Answer:

Q1: 42

Q8: 10

Step-by-step explanation:

PEMDAS

Find the slope of the line (-3,-2),(1,-2)

Answers

Answer:

0

Step-by-step explanation:

The y-axis is the same so the slope has to be zero, since the line is not going vetrically anytime on the graph

7/8 in lowest terms ?

Answers

Answer:

7/8 simplified to lowest terms is 7/8.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 8 is 1

Divide both the numerator and denominator by the GCD

7 ÷ 1

8 ÷ 1

Reduced fraction:  

7

8

Therefore, 7/8 simplified to lowest terms is 7/8.

Find the area of each figure

Answers

Answer:

flu

Step-by-step explanation:

ugh

What is an equation of the line that passes through the points (4, -1) and (-8, -7)?

Answers

Answer:

y=-1/2x - 3

I think this is it, its been a while though.

​

y=x−4
y=4x+2
​
Find x and y

Answers

Answer:

x = -2

y = -6

Step-by-step explanation:

x - 4 = 4x + 2

-4 = 3x + 2

-6 = 3x

x = -2

y = -2 - 4;  y = -6

3q+3.97=7.57 please help im stuck on ixl

Answers

Answer:

1.2

Step-by-step explanation:

3q+3.97=7.57

3q=7.57-3.97

3q=3.6

q=3.6/3

q=1.2

What is the factored form of n3+512 (pleas help fast)

A- (n-8)(n^2+8n+64)
B- (n+4)(n^2-4n+128)
C- (n-4)(n^2+4n+128)
D- (n+8)(n^2-8n+64)

Answers

Answer:

Since both terms are perfect cubes, factor using the sum of cubes formula,

a³+b³=(a+b)(a²-ab+b²) where

a=n and b=8

(n+8)(n²-8n+64)

Answer

(n+8)(n²-8n+64)

hi

have a good day

thank me later

Carryonlearing

Answer:

Step-by-step explanation:

The only one that has a chance of being correct is D. That's because the first term is correct and you have to assume that the second one is as well.

cubrt(512) = 8

The first term is (n + 8)

The second term is (n^2 - 8*n + 8^2) = n^2 - 8n + 64

All the other answers have the wrong first term

A: it should be n + 8 not n - 8

B and C are both wrong because the cube root of 512 is 8 not 4.

26=7(g−9)+1226, equals, 7, left parenthesis, g, minus, 9, right parenthesis, plus, 12

Answers

26=7(g-9) + 1226

To find g, we expand the brackets first(multiplying every term in the bracket by the term outside it):

26=7g-63+1226

Add the terms on the right hand side:

26=7g+1163

Collect alike terms to left hand side:

26-1163=7g
-1137=7g

Divide equation by 7 to get g on its own:

g= -162.428 (3dp)

Hope this helps!


“write each number as a percent”
6 and 1/2 ( mix number)
Help please

Answers

Answer:

650%

Step-by-step explanation:

Since percent means "out of one hundred", we can use that to find out the answer6 would be 600 percent, and 0.5 would be 50 percentTherefore, the answer would be 650%

round 0.006772 to 1 significant figure

Answers

Answer:

0.007

Step-by-step explanation:

0's before other numbers are non-significant. Then you just round your number.

Hope that helps

Can someone help me with this please? ​

Answers

Die haben sich schon in der Schule gesehen und 5 bis drei z die Frau A bist du noch mal in der Nähe

help please anybody hmm​

Answers

Answer:

94.6-18.8=75.8

75.8 is the answer

Step-by-step explanation:

Hope this helps

May i get braineist pls?

d= sqrt ( 2 )^ 2 +( 12 )^ 2

Answers

Answer:

d = 146

Step-by-step explanation:

Answer:

d=146

Step-by-step explanation:

the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146

what is the range of a parabola that opens down with a vertex at (1,-3)

Answers

Answer:

-3 to -infinity

Step-by-step explanation:

Classify the following triangle

(Chose multiple)

-Equilateral
-Isosceles
-Scalene
-Acute
-Equiangular
-Obtuse
-Right

Answers

Answer:

Scalene

Acute

Obtuse

Step-by-step explanation:

≠ Equailateral because all the sides in the given triangle are not equal nor are the three angles 60°

≠ Isosceles because the triangle doesn't have two equal sides nor two equal angles

= Scalene as all the sides are of different lengths and so are all the angles with different degrees.

= Actue because QPO and PQO are less than 90°, thus they are acute angles

≠ Equiangular because none of the given angles are of the same degree.

= Obtuse as POQ is greater than 90°

≠ Right because the given triangle does not have a right angle

All the numbers round to 7 except


6.61

7.89

6.58

7.37

Answers

7.89 rounds off to 8
7.89 because it’s closer to 8.00, not 7.00

identify all possible answer for the statement below.

Answers

Answer:

it simple there nothing there Step-by-step explanation:

Write the converse of the following statement. Then determine its validity.

a. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
b. If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.
c. If a parallelogram is a rectangle, then the diagonals are congruent. FALSE.
d. If the diagonals of a parallelogram are not congruent, then the parallelogram is not a rectangle. FALSE.
d. If a parallelogram is not a rectangle, then the diagonals are not congruent. TRUE.

Answers

The converse and the validity of the statement is:

If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.

The statement is given as:

If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle

Considering the following statement

If a then b

Its converse is:

If b then a

So, the converse of the given statement is:

If a parallelogram is a rectangle, then the diagonals are congruent.

The diagonals of a rectangle are true.

Hence, the validity is true.

So, the true statement is (b)

Read more about converse statements at:

https://brainly.com/question/4421013

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