Answer:
x=34
y=17
Step-by-step explanation:
Let Paula's score be= x
Let Maria's score be=y
<u>Given</u><u>:</u>
x=2y
x+y=51
<u>Substitution</u><u>:</u>
2y+y=51
<u>Formula</u><u>:</u>
2y+y=51
3y=51
y=17
x=2y
x=2(17)
x=34
<u>Proof</u><u>:</u>
x+y=51
34+17=51
51=51
Hope this helps ;) ❤❤❤
Answer:


Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>

<u>Subtract 2y from both sides:</u>


<u>Divide both sides by -2:</u>


<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>

→ let x=2+y

<u>Simplify:</u>

<u>Now, let's solve for y in 6+6y=-18</u>

<u>Subtract 6 from both sides:</u>


<u>Divide both sides by 6:</u>


<u>Now, substitute y=-4 into x=2+y:</u>

→ let y = -4


Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees (
∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2
=(120^2
)+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2
) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2
) −4pr=(211.907^2
)−4⋅1⋅9500=6904.75561996
D>0
=
(−q±
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(
−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596
Answer:
is a polynomial of type binomial and has a degree 6.
Step-by-step explanation:
Given the polynomial expression

Group like terms

Add similar elements: -8c-8c-9c=-25c

Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.
Each term has a degree equal to the sum of the exponents on the variables.
The degree of the polynomial is the greatest of those.
25c has a degree 1
has a degree 6. (adding the exponents of two variables 'c' and 'd').
Thus,
is a polynomial of type binomial and has a degree 6.