[tex]8x + y = -2[/tex]
[tex]4x - y = -14[/tex]
To solve this via the addition method, we just need the two equations together; that means that we will create a new equation where the terms on the left side of both equations are added together and are set equal to the sum of the terms on the right side of both equations:
[tex](8x + y) + (4x - y) = (-2) + (-14)[/tex]
[tex]8x + y + 4x - y = -2 - 14[/tex]
[tex](8x + 4x) + (y - y) = -16[/tex]
[tex]12x + 0 = -16[/tex]
[tex]x = \frac{-16}{12}[/tex]
[tex]x = \frac{-4}{3}[/tex]
Now that we have solved for one term, we can plug this value into either equation to get the value for the other:
[tex]4x - y = -14[/tex]
[tex]4(\frac{-4}{3}) - y = -14[/tex]
[tex]\frac{-16}{3} - y = -14[/tex]
[tex]\frac{-16}{3} + 14 = y[/tex]
[tex]\frac{26}{3} = y[/tex]
This means the solution to the system of equations is [tex](-\frac{4}{3}, \frac{26}{3})[/tex]
Answer:
Step-by-step explanation:
8x + y = -2
4x - y = 14
12x = 12
x = 1
8 + y = -2
y = -10
(1, -10)
Please help! correct answer gets brainliest!!!!!
Answer:
D
Step-by-step explanation:
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Angle F is 87 degrees and angle G is 58 degrees. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters. Angle K is 58 degrees, L is 35 degrees, J is 87 degrees. What can you conclude about these triangles? Check all that apply. Angle E corresponds to angle L. All corresponding angles are proportional. The measure of angle E is 29°. The two triangles are similar. The two triangles are congruent.
Answer:
Angle E corresponds to angle L
The two triangles are similar
Step-by-step explanation:
The information given has been sketched in a diagram attached below.
✔️In ∆EFG:
EF = 6 m
FG = 5 m
EG = 7 m
<F = 87°
<G = 58°
<E = 180 - (87° + 58°) (sum of triangles)
<E = 35°
✔️In ∆KLJ:
KL = 28 m
LJ = 24 m
JK = 20 m
<K = 58°
<L = 35°
<J = 87°
✔️Let's compare both triangles:
<K = <G = 87° (corresponding angles)
Therefore, length of the sides opposite each angle corresponds to each other, which is:
LJ corresponds to EF, hence:
LJ/EF = 24/6 = 4 (corresponding sides are proportional)
<J = <F = 87° (corresponding angles)
KL corresponds to EG, hence:
KL/EF = 28/7 = 4 (both sides are proportional)
<L = <E = 35° (corresponding angles are equal)
JK corresponds to FG, hence:
JK/FG = 20/5 = 4 (both sides are proportional).
As we can see from the above, all three angles of both triangles are congruent/equal to each other. This means they have the same shape.
Also, all three corresponding sides of both triangles are proportional. This means they have different sizes.
Therefore, we can conclude that both triangles are similar to each other because they have corresponding angles that are equal, while their corresponding sides are proportional.
The following statements therefore apply:
Angle E corresponds to angle L
The two triangles are similar
Answer:
Angle E corresponds to angle L
The two triangles are similar
Step-by-step explanation:
Which is a perfect square?
6^1
6^2
6^3
6^5
Answer:
6^2
Step-by-step explanation:
6^2 because,
6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.
6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square
*This one almost tricked me*
6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776) it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.
6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.
Therefore, its 6^2
(This is my 100th question answered!)
Hope this helps have a nice day!
Hey can you please help me fast!!
Answer:
- 3/5
Positive
Step-by-step explanation:
when plotting on a number line, you will start with the first term listed in the equation, in this case it is -3/5
then, if the next term is positive, you will move to the right (aka positive direction), but if the next term is negative then you will move to the left (aka negative direction)
in this question, the next term is positive, so you will move in the positive direction
Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)? StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot minus 1 Over 1 minus StartRoot 15 EndRoot EndFraction
Answer:
[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]
Step-by-step explanation:
Given
[tex]\tan A =-\sqrt{15[/tex]
Required
Find [tex]\tan(A - \frac{\pi}{4})[/tex]
In trigonometry:
[tex]\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}[/tex]
This gives:
[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}[/tex]
[tex]tan \frac{\pi}{4} = 1[/tex]
So:
[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}[/tex]
[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}[/tex]
This gives:
[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]
Answer:
StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction
Step-by-step explanation:
EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction
I NEED HELP NOW LIKE RIGHT NOW
Answer:
Hey! Answer: F
Step-by-step explanation:
13.5 ÷ 9= 1.5
18 ÷ 12 = 1.5
So our pattern is to enlarge/multiply it by 1.5
So 1.5 x 15 = 22.5
So F is our answer!
a solid figure which has a surface that is
always the same distance from its center
Answer:
sphere
hope this answer helps you..
Answer:
i don't know xD cya later
Please help!!!!!!!
I’ll give you brainliest!!!!
Answer:
C
why does it say a minimum of 20 words
Paula and Simon are trying to find out if a different coin is biased. Paula throws this coin 10 times. She records the number of times the coin lands on heads. Simon throws the same coin 100 times. He records the number of times the coin lands on heads. Whose results will be more useful in deciding if the coin is biased? Give a reason for your answer.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Simon
Explanation: Simon had more data in the sample, therefore the data will always be more accurate.
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
Step-by-step explanation:
The larger the number of throws the closer the results will be to the probability of a head. That is for a fair coin it should be close to 50%.
With only 10 throws you could get a result not close to 50% but the coin could still be fair.
So Simon's results ( 100 throws) would be more useful to decide if the coin is biased or not.
Jen received 60% on her science quiz.She got 9 question correct.How many total questions were on the science test
PLEASE HELPPPPPPPPPPPPPP
Answer:
None of these can be triangles.
Step-by-step explanation:
All triangles’ side lengths must follow this pattern - the two shortest sides must be GREATER than the longest when added together. 6 + 4 < 10, so this isn’t a triangle. 3 + 8 = 11, so this isn’t a triangle. 8.4 + 7.7 < 16.6, so this isn’t a triangle. Lastly, 4 + 3 < 16, so this isn’t a triangle. Hope this is accurate & helpful! Best of luck.
$
$
2
The parent function of a quadratic, f(x) = x is reflected across the
2
x-axis, vertically compressed by a factor of 3, translated 8 units left
and 16 units up. Write the equation of the transformed quadratic
function, g(x), in vertex form.
g(x) =
² x 160 qx x ✓
Answer:q = - 9 and r = - 10
Step-by-step explanation:
since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12
q + r + 7 = - 12 ( subtract 7 from both sides )
q + r = - 19 → (1)
Since (x - 3) is a factor of g(x), then
g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is
108 + 9q + 3r + 3 = 0
9q + 3r + 111 = 0 ( subtract 111 from both sides )
9q + 3r = - 111 → (2)
The 2 equations to be solved simultaneously are (1) and (2)
Multiply (1) by - 3
- 3q - 3r = 57 → (3)
Add (2) and (3) term by term to eliminate r
6q = - 54 ( divide both sides by 6 )
q = - 9
Substitute q = - 9 into (1)
- 9 + r = - 19 ( add 9 to both sides )
r = - 10
Hope the helps!!! ❤️
brass is an alloy of zinc and copper. if 30% of the content is zinc . find the weight of zinc and copper in 300 gram of brass.
Step-by-step explanation:
Here's your solution
=> percentage of zinc = 30%
=> total weight of alloy = 300 gram
=> amount of zinc = (30/100)*300 = 90 gram
=> amount of copper = 300 - 90 = 210 gram
hope it helps
FAST HURRY HELP PLZZ
Answer:
I think its A but not 100 percent sure
Step-by-step explanation:
2, 0
random words because word limit weee
A number x divided by 6 is at least 16 .
Answer:
x = 96
Step-by-step explanation:
Answer:
x/6≥16
Step-by-step explanation:
a two-digit number is equal to 8 times the sum of its digits
Find the values of a and b given that the polynomial P(x) = x^3+ ax^2 +x+b, is divisible by
both x-1 and x + 3.
Answer:
a=4
b=-6
Step-by-step explanation:
If P(x) is divisible by x-c, then P(c)=0.
So P(1)=0 implies 1^3+a1^2+1+b=0
and
P(-3)=0 implies (-3)^2+a(-3)^2+-3+b=0
So notice we have a system to solve.
Let's simply it.
First equation:
1^3+a1^2+1+b=0
1+a+1+b=0
2+a+b=0
a+b=-2
Second equation:
(-3)^3+a(-3)^2+-3+b=0
-27+9a-3+b=0
9a+b-30=0
9a+b=30
Let's put our system together:
a+b=-2
9a+b=30
This is setup so if we subtract the equations b will eliminate allowing us to solve for a:
-8a=-32
a=4
If a=4 and a+b=-2, then 4+b=-2 giving us b=-6.
a=4
b=-6
https://mee t.go ogle.co m/o yi- ta km- tes
I need someone to answer this
Answer:
(a+b)*(a+b)
c*c
(1/2*a*b)*4
Step-by-step explanation:
The area of a square is equal to side times side, so a+b=one of the sides of a square so you multiply this by another a+b to get the whole square
Same as the last part but c is equal to one side so we do c*c for the are
The area of a triangle is 1/2*base*height, so we do 1/2*a*b since a is equal to the base of the triangle and b is equal to the height. This is only equal to 1 triangle so we multiply this by 4 since there are 4 triangles in total
how to solve -3x-6y=3 and 2x+7y=-17 using elimination method PLEASE SHOW WORK
Find the area of each figure. Round your answer to the nearest tenth.
Answer:
17. 9 yd^2
18. 37.5 yd^2 ( I'm not sure it is the right one.)
Step-by-step explanation:
17. 3*3 =9
18. 5*15/2=37.5 yd^2
5 is the side of the pentagon
Complete the missing parts of the table for the following function. y = x
5
| -2 | -1 | 0 | 1 | 2 | 3 |
|________________
| 1/25 | 1/? | 1 | 5 | ? | ? |
Answer:
The function is:
y = [tex]5^x[/tex]Missing numbers:
x = -1 ⇒ y = 1/5x = 2 ⇒ y = 25x = 3 ⇒ y = 125Find the value of x
DUE SUNDAY I NEED ASAP
Answer:
x=43°
Step-by-step explanation:
The angles are adjacent and create a straight line so their sum is 180°.
(x+6)°+(3x+2)°=180°
x°+6°+3x°+2°=180°
4x°+8°=180°
4x°=172°
x=43°
What is the answer?
Answer:
66 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the base area and h the perpendicular height )
A = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11
V = 6 × 11 = 66 cm³
If x=7 and y=−5, evaluate the following expression:3x−y/2
3(7) -(-5)/2
21 + 5/2
47/2
that's all
Answer:
x=7
y=−5
D= 47/2=23.5
What do you do to both sides to
r? What is r? 3/8 r = 6 HELP ME
Answer:
r = 16
Step-by-step explanation:
[tex]\frac{3}{8}r = 6 \\\\[/tex]
Multiply both sides by 8
[tex]8*\frac{3}{8}r = 6*8\\\\3r = 48\\[/tex]
Divide both side by 3
[tex]\frac{3}{3}r=\frac{48}{3}\\\\r = 16[/tex]
OR
Multiply both side by (8/3)
[tex]\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16[/tex]
write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?
Let x be the distance run on the fifth day
Total distance run on all the four days = 2.3 * 4 = 9.2 km
Required equation : x + 9.2 = 14
x = 14 - 9.2
x = 4.8 km
Which of the following shows a group of possible angles a triangle could have?
A. 10 degrees, 10 degrees, 10 degrees
B. 30 degrees, 30 degrees, 30 degrees,
C. 60 degrees, 60 degrees, 60 degrees
D. 80 degrees, 80 degrees, 80 degrees
Answer:
C. 60 degrees, 60 degrees, 60 degrees
Step-by-step explanation:
The measures of interior angles of a triangle sum to 180°.
A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20 each. Find the percent markup.
The percent markup is what. (Round to the nearest whole number as needed.)
Answer: good luck
Step-by-step explanation:
Answer:
The answer is 11%
Step-by-step explanation:
i know i know no need to thank me
what is 2 to the tenth power
Answer:
1024
Step-by-step explanation:
2•2•2•2•2•2•2•2•2•2
1024
Find the value of x.
9
19
x = [?]
Answer:
14
Step-by-step explanation:
Answer:
looks like 18 not sure tho
Step-by-step explanation: