MATHEMATICS HIGH SCHOOL

2: find the slop and the y-intercept of the line represented by the equation.7x + y = 8
I am having trouble with these, could someone please help me.

Answers

Answer 1
Answer: The\ slope-intercept\ form:y=mx+b\n\nm\ is\ the slope\nb\ is\ y-intercept\n\n7x+y=8\n\ny=-7x+8\n\nthe\ slope:m=-7\ny-intercept:b=8

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Identify the properties used for the first two steps in simplifying 6ab2 + 4a - 3ab2 +3a²b-2a²b2.6ab2-4a²b-3ab2+3a²b-2a²b2 = 4a²b+3a²b-3ab2+6ab2-2a²b2
= (4+3)a²b+(-3+6)ab2-2a²b2
= 7a+b+3ab2-2a²b2

Answers

Answer:

  • commutative property of addition
  • distributive property

Step-by-step explanation:

6ab²+4a²b-3ab²+3a²b-2a²b²

= 4a²b+3a²b-3ab²+6ab²-2a²b² . . . commutative property of addition (twice)

= (4+3)a²b+(-3+6)ab²-2a²b² . . . . . . distributive property (twice)

= 7a²b+3ab²-2a²b²

_____

We have attempted to correct what we perceive to be typographical errors in the presentation of the problem. As written, you can't get to the second expression from the first, and the first expression doesn't match what you say you're trying to simplify.

What is the standard equation of the circle in the graph?

Answers

Answer:

Standard Equation Of Circle is (x-h)^2+(y-k)^2+r^2

Step-by-step explanation:

Let we are given a circle in graph with center P whose coordinate are ( h , k ) and radius of the circle is r units.

Then the standard equation of circle is written as ,

(x-h)^2+(y-k)^2=r^2

If center becomes origin then, Equation become

x^2+y^2=r^2
x^2 + y^2 = radius^2
Is that what your adking for? This is for a circle around the origin.

Solve Sec 5theta/4=2

Answers

\sec(5\theta)/(4)=2\n (1)/(\cos (5\theta)/(4))=2\n \cos (5\theta)/(4)=(1)/(2)\n (5\theta)/(4)=(\pi)/(3)+2k\pi \vee (5\theta)/(4)=-(\pi)/(3)+2k\pi\n 5\theta=(4\pi)/(3)+8k\pi \vee 5\theta=-(4\pi)/(3)+8k\pi\n \boxed{\theta=(4\pi)/(15)+(8k\pi)/(5) \vee \theta=-(4\pi)/(15)+(8k\pi)/(5)}

A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.Which expression represents how many teaspoons of butter Melinda should use?

A.
0.6 x 2

B.
1.6 x 2

C.
0.4 x 2

D.
1.4 x 2

Answers

Given:
recipe: 2 tsp of butter
Melinda wants to make 40% more servings than the recipe.

2 tsp is equal to 100%
additional of 40% makes it 100% + 40% = 140%

140% * 2 tsp = 2.8 tsp.

The expression that shows the number of teaspoons needed is:
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Answers

The choices possible are:
a. -0.00056 
b. -0.00288 
c. -0.00126 
d. -0.00078

The discriminant formula for a quadratic function is: ax^2+bx+c,b^2−4ac, where a=0.00012, b=0, and c=6

Substituting these values and solving the given discriminant formula, the value of the discriminant is therefore B. -0.00288.
The general form of a quadratic function is:

ax^2+bx+c,

and the discriminant formula is expressed as:

b^2−4ac, 

where for this equation the values of the coefficients are:

 a=0.00012, b=0, and c=6

Substituting these values to the discriminant formula will yield to a value of -0.00288.

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Answers

String A is 140, String B is 110, String C is 50
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