Answers
Answer:
(-6,1)
Step-by-step explanation:
-x + y = 7 [Equation (1)]
2x + 5y = -7 [Equation (2)]
Multiplying equation (1) by 5, to make the coefficients of y equal in both equations.
5(-x + y) = 5(7)
=> -5x + 5y = 35 [Equation (3)]
Subtracting equation (3) from equation (2).
(2x + 5y) - (-5x + 5y) = -7 - 35
=> 2x + 5y + 5x - 5y = -7 - 35
=> 7x = -42
=> x = -42/7
=> x = -6
Putting the value of x in equation (1).
-(-6) + y = 7
=> 6 + y = 7
=> y = 7 - 6
=> y = 1
So, x = -6 and y = 1.
Related Questions
A line is parallel to the x-axis and passes through the point (-5,4)
What is the equation of that line, the slope of that line, and what would be the slope of a line perpendicular to that given line?
Answers
9514 1404 393
Answer:
y = 4slope: 0slope of perpendicular: undefinedStep-by-step explanation:
The x-axis is a horizontal line. As such, it has a slope of zero. The equation of a horizontal line is ...
y = constant
__
For the line through (-5, 4), the constant must match the y-coordinate: 4. The equation is ...
y = 4
As we said above, the slope of that horizontal line is zero.
The perpendicular line will be a vertical line of the form x=constant. The slope of a vertical line is undefined.
2sin60° sin90°+ cos60°cos0
Answers
Answer:
[tex]\sqrt{3 }[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Using exact values
2sin60°sin90° + cos60°cos0°
= 2 × [tex]\frac{\sqrt{3} }{2}[/tex] × 1 + [tex]\frac{1}{2}[/tex] × 1
= [tex]\sqrt{3}[/tex] + [tex]\frac{1}{2}[/tex] ← exact value
Need help ASAP please!! See attached photo
Answers
Answer:
Angle ABC = 110 degrees
Step-by-step explanation:
Set angle ABC equal to the two parts and solve for x
17x + 8 = 42 + 12x - 4
17x + 8 = 12x + 38
5x = 30
x = 6
Plug in x to angle ABC and solve
17(6) + 8 = 110
If 2x - 4= 16 for some value of x, then
what is the value of x + 2 for the same
value of x?
Answers
Answer:
12
Step-by-step explanation:
2x - 4= 16
Divide by 2
2x/2 -4/2 = 16/2
x -2 = 8
Add 4 to each side
x-2+4 = 8+4
x+2 = 12
Step 1:
2x - 4 = 16
+4 = +4
2x = 20
2x/2 = 20/2
x = 10
Step 2:
x + 2
10 + 2 = 12
So your answer is 12.
Which is equivalent to 64^1/4?
2^4√4
4
16
16^4√4
Answers
Answer:
Step-by-step explanation:
[tex]64^1/4\\\\=\dfrac{64^{1}}{4} \\\\=\dfrac{64}{4} \\\\=16\\\\Answer\ C[/tex]
a) make h the subject of the formula
T=26- h/500
b) the outside air temperature T°C,of an aircraft at a height, h feet , given by
T=26- h/500
the outside air temperature of an aircraft is -53°C
1 metre=3³/8 feet
calculate the height in metres of the aircraft
Answers
Answer:
11703.7 metres
Step-by-step explanation:
* means multiply
/ means divide
plug in the values
T=26- h/500
-53 = 26- h/500
-53 -26 = h/500
-79 = h/500
-79 * 500 = h
-39500 = h
-39500 is in feet
3³/8 =
39500 / 3.375 =
11703.7037037 metres
I have no idea what I am doing
Answers
Answer:
I have no idea either
Step-by-step explanation:
Start by plugging in the given.
-6 -8/4 -6 =
Then continue on by simplifying.
Add the like terms.
-12 -8/4 =
Simplify the fraction so it’s easier to add.
-2-12 =
-14 =
(a)
537
Given that -+-+-=0, express a in terms of b and c.
a b c
Ar (9² - s)
Make q the subject of the formula p:
a
(b)
Answers
Answer:
Here ia your answer
Hope it helps
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{5}{a}[/tex] + [tex]\frac{3}{b}[/tex] + [tex]\frac{7}{c}[/tex] = 0 ( multiply through by abc to clear the fractions )
5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )
3ac + 7ab = - 5bc ( factor a out of each term on the left side )
a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)
a = - [tex]\frac{5bc}{3c+7b}[/tex]
---------------------------------
(b)
p = [tex]\frac{\sqrt{4r(q^2-s)} }{q}[/tex] ( multiply both sides by q )
pq = [tex]\sqrt{4r(q^2-s)}[/tex] ← square both sides
(pq)² = 4r(q² - s) ← distribute
p²q² = 4rq² - 4rs ← subtract 4rq² from both sides
p²q² - 4rq² = - 4rs ( multiply through by - 1 )
4rq² - p²q² = 4rs ← factor out q² from each term on the left side
q²(4r - p²) = 4rs ← divide both sides by (4r - p²)
q² = [tex]\frac{4rs}{4r-p^2}[/tex] ( take the square root of both sides )
q = ± [tex]\sqrt{\frac{4rs}{4r-p^2} }[/tex]
-2b(-7)=11
=============
Answers
Answer:
Solution given:
-2b(-7)=11
open bracket
-2b*-7=11
+14b=11
divide both side by 14
14b/14=11/14
b=11/14
Answer:
[tex] - 2b ( - 7) = 11 \\ - 2b \times - 7 = 11 \\ 14b = 11 \\ b = \frac{11}{14} \\ thank \: you[/tex]
Help anyone can help me do this question,I will mark brainlest.
Answers
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer:
you are totally correct
collection of even numbers is well defined set or not
Answers
Answer:
set of even counting number is well-defined
Barry is measuring the length of his pencils. The red pencil is 4.32 inches long, the blue pencil is 6.1 inches long, and the green pencil is 2.27 inches long. What is the sum of the lengths of the pencils? 7.20 inches 12.61 inches 12.69 inches
I NEED ANWSER FAST! AND QUICK! PLEASE HELP! I give 38 points who ever answer!! PLEASE!!!
Answers
Answer: [tex]\boxed {12.69 inches}[/tex]
Step-by-step explanation:
Given information
Red pencil = 4.32 inches
Blue pencil = 6.1 inches
Green pencil = 2.27 inches
Expression deducted from the question
Total length = Red pencil + Blue pencil + Green pencil
Substitute values into the expression
Total length = (4.32) + (6.1) + (2.27)
Simplify by addition
Total length = 10.42 + 2.27
Total length = 12.69 inches
Hope this helps!! :)
Please let me know if you have any questions
The sum of the length of the pencils is 12.69 inches
To Obtain the sum of the length of the pencils, we use the addition operator on the given lengths :
Red pencil = 4.32 inches Blue pencil = 6.1 inches Green pencil = 2.27 inchesThe sum of the lengths of the pencils :
(4.32 + 6.1 + 2.27) inches = 12.69 inches
Therefore. The total sum of the lengths of the pencils is 12.69 inches
Learn more : https://brainly.com/question/2610134
[tex]5^{6}[/tex]
Please show work:
Answers
5x5x5x5x5x5= 15625
If you’re looking for a way to do the math with a calculator, however, just multiply 5*5, then that answer with 5, and repeat until you’ve done with six “5”s. For that method, your original 5*5 counts as two of your six “5”s.
help pls ASAP im doing this for my sister.
10 points if you check that the work is correct or wrong!1
Also i need answers for the bottom.
Answers
52,341 is bigger than 43,521. That is why 52,341 is greater than 43,521.
Answer:
1. Amy, Rick, Jeff, Bonnie (Bonnie wins)
2a. You're answer is correct since there is multiple ways to do it
2b. 52212 is greater than 43541 because it is a bigger number
Step-by-step explanation:
five times the sum of two times a number and 3
Answers
Answer:
5×(2x+3)
Step-by-step explanation:
hope this helps:)
SOLVE FOR X
2x+15=2x-15
Answers
[tex]\\ \rm\Rrightarrow 2x+15=2x-15[/tex]
[tex]\\ \rm\Rrightarrow 2x-2x=-15-15[/tex]
[tex]\\ \rm\Rrightarrow 0=-30[/tex]
Hence
[tex]\\ \rm\Rrightarrow x=\infty[/tex]
Find f(3x-2) for f(x)=x-5
Answers
Answer:
f(x)=x–5
f (3x–2) = (3x–2) –5
f (3x–2) = 3x–7
I hope I helped you^_^
The table below shows Mandy's test scores what is the mean of her test scores
78 89 83 80 84
95 100 86 84 91
A 88 b 87 c 85 d 84
Answers
78+89+83+80+84+95+100+86+84+91=870
870/10=87
Answer:
B,87
STEPS
78+89+83+80+84+95+100+86+84+91
10
870
10
Simplify -2/3+1 5/6+(-3/2)
Plsss guys I need ur help
Answers
Step-by-step explanation:
[tex] - \frac{2}{3} + 1 \frac{5}{6} + ( - \frac{3}{2} )[/tex]
[tex] = 1 \frac{5}{6} - \frac{2}{3} - \frac{3}{2} [/tex]
[tex] = \frac{11}{6} - (\frac{2}{3} + \frac{3}{2} )[/tex]
[tex] = \frac{11}{6} - ( \frac{4 + 9}{6} )[/tex]
[tex] = \frac{11}{6} - \frac{13}{6} [/tex]
[tex] = \frac{11 - 13}{6} [/tex]
[tex] = \frac{ - 2}{6} [/tex]
After simplifying,
[tex] = \frac{ - 1}{3} (ans)[/tex]
The perimeter of a rectangle can be found using the formula P = 4 s .
True or False
Answers
Answer:
[tex]{ \underline{ \sf{true}}}[/tex]
Answer:
The perimeter of a rectangle can be calculated by adding both lengths, and both widths
Step-by-step explanation:
Name:
Date:
Bell: Homework 5: Multi-Step & Compound
Inequalities
** This is a 2-page documenti **
Directions: Solve, graph, and write the solution to each inequality in interval notation,
1.-7a - 11 <1-10
2. 5-9(8 - 2x) = 2x - 115
Interval Notation:
3.-2(7 + y)2 -8(y + 1)
Interval Notation:
4.-5(k+ 4) 2-(3k + 6)
Interval Notation:
Interval Notation:
3(2x + 7)
> x+1
-3
6. r + 10 S-3(2r - 3) + 6(r + 3)
5.
Interval Notation:
Interval Notation:
7.-8m - 12 > -5(m - 8) - 3(m - 7)
8. 18(9-3)=-2{q+7)
Interval Notation:
Interval Notation:
O Gina Wilson (All Things Algebra
Answers
Step-by-step explanation:
what you have written I can't send one thing on
Y'ALL, WOULD A KIND SOUL PLEASE PLEASE HELP ME???!!!!!!!!!!! im running out of points
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
show how you got your answer so I can see if it makes any sense!!!
Answers
1. ∠A and ∠B are complementary
2. ∠A + ∠B = 90° and ∠B + ∠C = 90°
3. ∠A = 90° - ∠B
4. ∠C = 90° - ∠B
5. ∠A ≅ ∠C
the dash unit of length is metre
Answers
Answer:
Units of Length
10 millimeters (mm) = 1 centimeter (cm)
10 decimeters = 1 meter (m)
10 decimeters = 1000 millimeters
10 meters = 1 dekameter (dam)
find the ratio in lowest terms a 1.5m and 75 cm
Answers
-6x –(-9 – 4x) = -2(3x – 5)?
Answers
Answer:
x = 1/4
Step-by-step explanation:
-6x –(-9 – 4x) = -2(3x – 5)
-6x + 9 + 4x = -6x + 10
-2x + 9 = -6x + 10
-2x + 6x = 10 - 9
4x = 1
x = 1/4
Terri's project for the Math Fair is a magnificent black box that she called a function machine. If you put 3 into her machine, the output is 8. If you put in 10, the output is 29; and if you put in 20, the output is 59. Homework help
a. What would her machine do to an input of 5? What about -1? What about x?
b. Write an equation for Terri's machine
Answers
Answer:
a) An input of 5 gives an output of 14. An input of -1 gives an output of -4.
An input of x gives an output of 3x - 1
b) y = 3x - 1
Step-by-step explanation:
The pattern is that you multiply the number by 3 then subtract 1.
3*3 - 1 = 9 - 1 = 8
10 * 3 - 1 = 30 - 1 = 29
20 * 3 - 1 = 60 - 1 = 59
So:
a)
For an input of 5,
5 * 3 - 1 = 15 - 1 = 14
For an input of -1:
-1 * 3 - 1 = -3 - 1 = -4
For an input of x:
x * 3 - 1 = 3x - 1
So the equation is
b) y = 3x - 1
where x is the input value.
4/9 and 10/3 least common denominator?
Answers
Answer:
4/9 and 30/9
Step-by-step explanation:
9, 18, 27, 36
3, 6, 9, 12,
4/9 already has 9 denominator
10/3 × 3/3= 30/9
so now both numbers have common denominators.
4/9 and 30/9
I did the work
On the test, when Tom simplified the expression he got 5.8. What mistake did Tom likely make when he simplified the expression?
Answers
Answer:
It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.
Step-by-step explanation:
20 = 7x + 2 - 4x
What does x equal
Answers
Answer:
x = 6
Step-by-step explanation:
20 = 7x + 2 - 4x
7x + 2 - 4x = 20 (switch the sides)
7x - 4x + 2 = 20 (group the like terms together)
3x + 2 = 20 (add similar numbers, in this case it's the both x's)
-2 -2 (subtract 2 on both sides)
------------------
3x = 18
/3 /3 (divide both sides by 3)
-------------------
x = 6
Which numbers in set A = ( -7,-4, 2, 14, 21,34, 42) are elements of b and c, shown below? Set b= ( even numbers) set c: ( multiples of 7) enter answers from largest to smallest.
Answers
Answer:
(14, 42)
Step-by-step explanation:
(-4, 2, 14, 34, 42) are all elements of b, and (-7. 14, 21, 42) are all elements of c. (14, 42) are the only elements that are in both sets