MATHEMATICS HIGH SCHOOL

Which equation in slope-intercept form represents a line that is parallel to y=1/2x-2 and passes through the point (-8,1)?

Answers

Answer 1

Answer:

Answer:

$\displaystyle y=(1)/(2)x+5$

Step-by-step explanation:

We want to find the slope in slope-intercept form of a line that is parallel to:

$\displaystyle y=(1)/(2)x-2$

And passes through the point (-8, 1).

Recall that parallel lines have equivalent slopes.

Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.

We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:

$\displaystyle y-(1)=(1)/(2)(x-(-8))$

Since we want the equation in slope-intercept form, we can isolate y. Distribute:

$\displaystyle y-1=(1)/(2)x+4$

Therefore, our equation is:

$\displaystyle y=(1)/(2)x+5$

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hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment

Answers

Answer:

41) 10

42) 65

43) 26

44) 33

45)65

41.)10

42.) 65

43.)26

44.)33

45.)65

hoped that helped:)

Sin^2(x)-cos^2(x)=0
Find all the solutions in the interval [0,2pi)
Plz help.

Answers

Hello,
as sin² x -cos² x=cos 2x
The equation is
cos 2x=0
==>2x=π/2+kπ
==>x=π/4+kπ/2 with k integer

For what value of x would be the quotient (3x²+4x-5) ÷ (x+2) not make sense?

Answers

$(3x^2+4x-5):(x+2)\n \ndo\ not\ divide\ by\ zero\ \ \ \Rightarrow\ \ \ (x+2) \neq 0\ \ \ \Leftrightarrow\ \ \ x \neq -2\n \nFor\ x=-2\ the\ quotient\ not\ make\ sense.$

At a cost of $2.50 per square yard, what would be the price of carpeting a rectangular ﬂoor, 18 ft x 24 ft?

Answers

Answer is: $120

(18ft x 24ft) = 432 square feet

1 yard = 3 feet
1 square yard = (1yd * 1yd) =(3ft * 3ft) = 9 square feet

(432 ft^2)/(9 ft^2 per yard) = 48 square yards

(48 square yards)*($2.50 per yard) = $120

At a point on the ground 24 feet from the base of the tree, the distance to the top of the tree is 4 feet more than three times the height of the tree. find the height of the tree.

Answers

Answer:

7 feet

Step-by-step explanation:

(3h + 4)² = 24² + h²

9h² + 24h + 16 = 576 + h²

8h² + 24h - 560 = 0

h² + 3h - 70 = 0

(h + 10)(h - 7) = 0

h = 7' (h cannot be -10)

Factor completely and then place the factors in the proper location on the grid.a 2 - a - 20

Answers

Answer:

The correct answer is (a+4)(a-5)

Step-by-step explanation:

We have the polynomial $a^2-a-20$

For the polynomials of the form $ax^2+bx+c$ we have to rewrite the middle term as a sum of two terms whose product is, in this case, a.c=-20 and whose sum is b=(-1).

$a^2-a-20=\na^2+(-5+4)(a)-20=\n=a^2-5a+4a-20$

Because b=(-5)+4=(-1) and a.c=(-5).4=(-20)

Now we have to factor by grouping:

$a^2-5a+4a-20=\n(a^2+4a)-(5a+20)=\na(a+4)-5(a+4)=\n=(a-5)(a+4)$

Then, the correct answer is (a+4)(a-5)

The fully factored form of this expression would be
(A-5)(A+4).

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3 A scientist takes four random samples of a population of 700 trees. Each sample isthe same size. The first sample indicates that 30% of the trees are oak, while thesecond sample indicates that only 15% of the trees are oak. The third sampleindicates that 26% of the trees are oak. The fourth sample indicates that 29% ofthe trees are oak. Based on the data, about how many of the 700 trees are oak?

What is 1037 by the power of 702

Can you guys help me with this stuff I need a birthday