Y intercept due today

Answer:

[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]

Step-by-step explanation:

Answer:

(- 5, - 3 ) , (3, 5 )

Step-by-step explanation:

x² + y² = 34 → (1)

y = x + 2 → (2)

substitute y = x + 2 into (1)

x² + (x + 2)² = 34

x² + x² + 4x + 4 = 34

2x² + 4x + 4 = 34 ( subtract 34 from both sides )

2x² + 4x - 30 = 0 ( divide through by 2 )

x² + 2x - 15 = 0 ← in standard form

(x + 5)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

substitute these values into (2) for corresponding values of y

x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )

x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )

Answer:

C) [tex]628\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]

Step-by-step explanation:

The slope formula from 2 points is:

m=(y2-y1)/(x2-x1)

So input the numbers:

m = (6 - -2) / (5 - 2)

Solve within parenthesis:

m = (8) / (3)

Then divide!
8/3 = 2 2/3

the slope of the line is 2 and 2/3

Answer:

-18

Step-by-step explanation:

Hope it helps....................................................

Answer:

48

Step-by-step explanation:

substitute y = 4 into the expression

y² + 6y + 8

= 4² + 6(4) + 8

= 16 + 24 + 8

= 48

Answer:

the first one

Step-by-step explanation:

because I know the answer

The quadratic function represented in the graph is f(x) = -5 (x - 1) (x + 5).

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given a graph of a quadratic function.

The graph is directed downwards. So the leading coefficient is negative.

The function touches the X axis at two points, x = -5 and x = 1.

So -5 and 1 are the zeroes of the function.

So the function can be factored as,

f(x) = (x + 5)(x - 1)

So the quadratic equation is,

f(x) = -5 (x - 1) (x + 5)

Hence the equation of the given quadratic equation is f(x) = -5 (x - 1) (x + 5).

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Answer:

It depends. If the negative number is greater than the positive, the answer is true. Otherwise, false.

Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

For two perpendicular lines, we have:

m₁m₂ = -1.

From line k, we have this equation:

y = 1/3x - 2

From line m, we have this equation:

-2x + 6y = 18.

6y = 18 + 2x

y = 18/6 + 2/6x

y = 1/3x + 3.

Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.

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Answer:

p = 12

Step-by-step explanation:

13 + p = 25 ( subtract 13 from both sides )

p = 12

Answer:

the value of P is 12

Step-by-step explanation:

if 13+P=25 then P must be 12

subtract 13 from both sides

you're left with P=12

Answer:

a: 44%

(11×100)÷25=44

b: 3

2×4=8

3×1=3

8+3=11

14-11=3

Answer:

Julia can afford 5 stops including the initial fee

Step-by-step explanation:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

$21 - $5  ÷ $2.75 = 5 with remainder

Answer: No

Step-by-step explanation:

Answer:

Using Logic...she is shorter than most children at that level.

Step-by-step explanation:

Ashmita is 63 inches tall which is 5 foot 3. or 5.25 feet

When AP stats starts you should be in Highschool.

Here are the averages of highschool students, in height.

14 years = 5ft 4.5in (163.8 cm)  5ft 2.5in (158.7 cm)

15 years  = 5ft 7in (170.1 cm)  5ft 2.9in (159.7 cm)

16 years  = 5ft 8.3in (173.4 cm)  5ft 4in (162.5 cm)

17 years  = 5ft 9in (175.2 cm)  5ft 4in (162.5 cm)

Step-by-step explanation:

there is a rectangle and an octagon within

area of rectangle = 8*9 = 72

there are 4 right angled triangles

area of one such triangle = .5 × 9 = 4.5

total area of triangles = 18

area of octagon = 72-18 = 54 m^2

Answer:

Here is the ans ...hope it helps

Answer:

y=2.5, x=1.5

Step-by-step explanation:

y=1/2+2 ---(1)

y=x+1 ---(2)

y=1/2+2=2.5

Substitute y=2.5 into equation (2)

y=x+1

2.5=x+1

2.5-1=x

x=1.5

A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.

A function assigns the value of each element of one set to the other specific element of another set.

The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,

f(z)=8z³-5z² +9z+9

f(5)=8(5)³-5(5)² +9(5)+9

f(5)= (8×125) - (5×25) + (9×5) + 9

f(5) = 1,000 - 125 + 45 + 9

f(5) = 929

Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.

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Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

tan(90 - x)° = cotx°

Given

cot40°, then

tan Θ = tan(90 - 40)° = tan50°

Thus Θ = 50°

Answer:

6^7

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 13 to get 7.

​

Answer:

6^7

Step-by-step explanation:

6^13/6^6 = 6^7

Answer: use the Pythagorean theorem

if you use the Pythagorean theorem it would be so much easier:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

2x²-7x=0+30

2x²-7x=30

4x-7x=30

-3x=30

x=-10

Answer:

Step-by-step explanation:

(2x + 5)(x - 6) = 0

2x + 5 = 0

x = -5/2

x - 6 = 0

x = 6

Probability of pulling out the Blue Marbels = 4/9

Step-by-step explanation:

Red Marbels = 3

Blue Marbels = 4

Yellow Marbels = 2

Total Marbels = 9

P( Blue Marbels) = Number of favorable outcomes/Total number of possible outcomes = 4/9

Answer:

x = 31.

Step-by-step explanation:

93 = x + 62  (External Angle Theorem).

x = 93 - 62

= 31

Answer:

BA=15

CA=15/2=7.5

[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]

Answer:

[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]

Step-by-step explanation:

Given number:

29,980,000,000

Rules:

The number will become:

2.998 × 10¹⁰

[tex]\rule[225]{225}{2}[/tex]

Answer:

B. 2.998 x 10¹⁰

Step-by-step explanation:

Given :

Steps in solving :

Solving :

Answer: x =5

Step-by-step explanation:

subtract 7 on both sides than divide by 2

Answer:

x = 5

Step-by-step explanation:

Given: 2x + 7 = 17

1. Subtract 7 from both sides

2x + 7 - 7 = 17 - 7

2x = 10

2. Divide both sides by 2

2x ÷ 2 = 10 ÷ 2

x = 5

Final answer: x = 5

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Answer:

x= 96

Step-by-step explanation:

I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.