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Ksenya-84 [330]
1 year ago
13

Example 2: Solve the system algebraically. Then check your answer graphically.

Mathematics
1 answer:
Harlamova29_29 [7]1 year ago
6 0

Answer: (-2, 1), (-4, -3)

Step-by-step explanation:

y = x² + 8x + 13

y = 2x+5

x² + 8x + 13 = 2x+5

x² + 6x + 13 = 5

x² + 6x + 8 = 0

x² + 2x + 4x + 8 = 0

(x+2)(x+4)=0

<u>x=-2 or x=-4</u>

y=2(-2)+5

y=-4+5

<u>y=1</u>

y=2(-4)+5

y=-8+5

<u>y=-3</u>

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2) Write the equation of a line lin point-slope form) with a slope of -2 passing through the
shepuryov [24]

Answer:

y+4=-2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-4)

y+4=-2(x-4)

8 0
3 years ago
I need help! Will mark Brainliest for full answer!!!
Softa [21]

<u><em>Answer:</em></u>

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

<u><em>Explanation:</em></u>

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

<u>Mathematically, an inverse variation relation is represented as follows:</u>

y = \frac{k}{x}

where x and y are the two variables and k is the constant of variation

<u><em>Now, let's check the givens:</em></u>

<u>Part a:</u>

We are given that y = 3 and k = 33

<u>Substitute in the original relation and solve for x as follows:</u>

y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11

<u>Part b:</u>

We are given that y = 11 and x = 5.2

<u>Substitute in the original relation and solve for k as follows:</u>

y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2

<u>Part c:</u>

We are given that x=7.8 and k=72

<u>Substitute in the original relation and solve for y as follows:</u>

y=\frac{k}{x}=\frac{72}{7.8}=9.2 to the nearest tenth

Hope this helps :)

6 0
2 years ago
Help asap pls!!!! i need the questions answered also !!
Vikki [24]

Answer:

it wold be A

Step-by-step explanation:

5 0
3 years ago
ROUND YOUR ANSWER TO THE NEAREST TENTH
Darya [45]

Answer:

x = 16.5

Step-by-step explanation:

Use pythagorean theorem

a² + b² = c²

Plug in terms

7.1² + x² = 18²

Square each term

50.41 + x² = 324

Subtract a from c

x² = 273.59

Find square root

16.5

4 0
3 years ago
Help me pleaseeeeeeeeeeeeeeeee
hjlf

Answer:

The Order of operations is PEMDAS: Parentheces, Exponents, Multiplcation, Division, Addition, Subtraction

Step-by-step explanation:

9+3*2-(6+3^2) \\(6+3^2= 12\\3*2= 6\\9+6=15\\\\15-12= 3

Option A is not correct because it equals 9.

Option B is not correct because it equals -66

Option C is CORRECT because it equals 3 that is your ANSWER

Option D is not correct because it equals 0

PLZ PLZ PLZZZZ MARK BRAINLIEST I WORKED VERY HARD ON THIS

3 0
2 years ago
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