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Savatey [412]
3 years ago
6

Solve this equation using substitution. {4x + y = −2} {4x + 6y = 44}

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

4x + y = −2 --> 4x = -y - 2

4x + 6y = 44

Substitute 4x in the 2. equation.

(-y - 2) + 6y = 44

5y - 2 = 44

5y = 46

y = 9.2

4x = -9.2 - 2

4x = -11.2

x = -2.8


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A momma bird is sitting on the ground. The baby bird in the nest can see her momma at an angle of depression of 54°. If the momm
dmitriy555 [2]

Answer:

  • B. 25 ft

Step-by-step explanation:

<u>We have the following points:</u>

  • B- position of baby bird
  • M- position of momma bird
  • G- base of the tree

<u>Given:</u>

  • GM = 18 feet
  • BG = x
  • m∠BMG = 54°

<u>Find the value of x:</u>

  • x / GM = tan ∠BMG
  • x / 18 = tan 54°
  • x = 18 tan 54°
  • x = 24.77 ≈ 25 ft

Correct choice is B

5 0
3 years ago
Round 34,576 to the nearest thousand
VARVARA [1.3K]

Answer:

35000

Step-by-step explanation:

6 0
3 years ago
cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
3 years ago
What are the solutions to the equation (x + 2)^2 = 49?
Mekhanik [1.2K]

Answer:

X= 5, -9

Step-by-step explanation:

(X+2)² =49

Expand the bracket,


(X+2) (X+2)= 49

Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0  

Find two numbers whose sum is equal to b and whose product is equal to c.
Comparing with our equation;

B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

Replace X +4X-45=0 with (X-5) (X+9)=0

Therefore;

X-5=0

X+9=0

Moving to the left side of the equation;

Therefore X= 5 and -9

8 0
3 years ago
Read 2 more answers
The size of the interior angle of a regular decagon...Need an answer ASAP
olga nikolaevna [1]

Answer:

144

Step-by-step explanation:

x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees

5 0
3 years ago
Read 2 more answers
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