Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

Answer: 4 1/4 hours

Explanation: 2.5 + 1.75 = 4.25

4.25 = 4 1/4

Answer:

21.2 mm²

Step-by-step explanation:

Area of rectangle = base x height.

A(r) = b x h

Plug in the corresponding numbers to the corresponding variables:

A(r) = 5.3 x 4

A(r) = 21.2

21.2 mm² is your answer.

Answer:

Given:In quadrilateral WXYZ , and bisect each other at point A.

Prove: Quadrilateral WXYZ is a parallelogram.

Statement

Reason

1. and bisect each other. given

2. WA = YA

XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a

parallelogram.

definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.

Answer:its 22 and 7...........................

Step-by-step explanation:

The domain are the possible input while the range are the possible output

of a function.

Reasons:

The given functions can be expressed by the equation; (-x + 1)·(x + 1) = -x² + 1

Therefore, we have;

(a) y = f(x) + 1 = -x² + 1 + 1 = -x² + 2

The x-intercept of the above function are, x = √2, and x = -√2

Which gives;

The domain = [-√2, √2]

The range = [0, 2]

(b) y = 3·f(x) = 3 × (-x² + 1) = -3·x² + 3

At the x–intercepts, we have;

-3·x² + 3 = 0

x = ±1

The domain = [-1, 1]

The maximum value of y is given at x = 0, therefore;

= -3 × 0² + 3 = 3

The range = [0, 1]

(c) y = -f(x) = -(-x² + 1) = x² - 1

At the x–intercepts, x² - 1 = 0

x = ± 1

The domain = [-1, 1]

The minimum value of y is given at x = 0, which is y = -1

The range = [0, -1]

(d) y = f(x - 1) = -(x - 1)² + 1 = -x² + 2·x

At the x–intercepts, we have;  -x² + 2·x = 0, which gives;

(-x + 2)·x = 0

Which gives, x = 0, or x = 2

The domain = [0, 2]

The maximum value of y is given when x = -b/(2·a) = -2/(2×(-1)) = 1

y = f(1) =  -1² + 2×1 = 1

Therefore;

The range = [0, 1]

(e) y = f(x + 2) + 1 = (-(x + 2)² + 1) + 1 = -x² - 4·x - 2

At the x–intercepts, we have;  -x² - 4·x - 2 = 0, which gives;

x = -(2 + √2) or x = x = √2 - 2

The domain = [-(2 + √2), (√2 - 2)]

The maximum value of y is given when x = -4/(2)) = -2

Which gives;

-(-2)² - 4·(-2) - 2 = 2

The range = [0, 2]

Learn more here:

https://brainly.com/question/20391090

Answer:

That is true

You must flip the sign when you are multiplying or dividing by a negative number

Answer:

4

Step-by-step explanation:

ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1

24/6 = 4

Answer:

17

Step-by-step explanation:

Answer:

has in lenght of 2 or 5

Step-by-step explanation:

odyssey ware

ig i d k

Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

Answer:

28.27

circumference of finding a circle divided by two.

[tex](2\pi \:r {}^{2} ) \div 2[/tex]

(2×3.14×9)/2

56.55/2

28.27

Answer:

I believe that it is function

Answer:

1.(-4,2)

2.(2,4)

3.(-2,8)

Answer:

(1,2) (0,4) (-4,2)

Step-by-step explanation:

took the quiz and got it right.

Answer:

1,3,4

Step-by-step explanation:

hope this helped

Answer:

It can either be 17593pi/9000 rad or if youre looking for a decimal answer is it 1.95pi and rad=6.14

Step-by-step explanation:

Answer:

2x+78=5x+15

78-15=5x-2x

3x=63

x=21

The difference between the two is 4,5

Answer:

y = 2 1/2 x + 5

Step-by-step explanation:

We were recently going over this. Slope formula: y2 - y1 / x2 - x1. In our case the slope is 2 1/2, and the y-intercept is 5.

Tell me if I'm wrong :)

Answer: [tex]\frac{3}{8}[/tex] = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Solve for x:

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

x = [tex]\frac{37.5}{100}[/tex] = 37.5%

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

Answer:

No

But it us Near though

Step-by-step explanation:

9/15 or 3/5 =60%

Answer: The other factor is 70

Explanation: 4,200 divided by 60 is 70.

Answer: Choice A.   [tex]4\sqrt{7}[/tex]

===================================================

Work Shown:

[tex]\sqrt{14}*\sqrt{8}\\\\\sqrt{(14)*(8)}\\\\\sqrt{(7*2)*(2*4)}\\\\\sqrt{7*(2*2)*4}\\\\\sqrt{7*4*4}\\\\\sqrt{4*4*7}\\\\\sqrt{4}*\sqrt{4}*\sqrt{7}\\\\2*2*\sqrt{7}\\\\4\sqrt{7}\\\\[/tex]

Answer: The journey took 4 hours and 15 minutes.

Answer:

D

Step-by-step explanation:

Got it right on test

Answer: The answer is letter B or letter D

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Step-by-step explanation:  Find the degree of the function to determine if linear.  f ( x ) =  − 18 x 2 − 21 x − 6  is not a linear function

Expand the polynomial using the FOIL method.  f ( x ) =  − 18 x 2 − 21 x − 6

The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

The formula for calculating the margin of error is expressed as:

[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportion

n is the sample size

Given the following parameters;

p = 75% = 0.75

n = 280

z = 2.576

Substitute into the formula

[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]

Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

Learn more on margin of error here: https://brainly.com/question/10218601

Answer:

what it says iiiiiiii888i888iiiii

Answer:

I think it would be no solution

Step-by-step explanation:

since there is the same slope, the line would never cross. Also the determinate is 0 or 1/0, so there would be no solution