MATHEMATICS HIGH SCHOOL

Can someone help me pls

Answers

Answer 1

Answer:

Answer:

432 ft^2

Step-by-step explanation:

Answer 2

Answer:

Answer:

432

Step-by-step explanation:

Lets plug it into the formula

b1 should be the horizontal line on the bottom horizontal line and b2 should be the top horizontal line

so we get b1 = 28 and b2 = 20

according to the formula we should add b1 and b2, getting us 48.

divide 48 by 2: we get 24

24 times h, or the hieght, or 18 is 432

so the answer is 432

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What is the simplified expression for the expression below?-1(2x + 3) - 2(x - 1)

() 4x + 1

() 4x2

() 4x + 2

() 4% = 1

Answers

first answer: -4x-1

.............

Answer:

-4×-1

Step-by-step explanation:

Consider line A which is defined by the equation:y=5/6x-5/2
and the point P(-3,6) and then answer the following questions:
a. How would you find the line (B) that passes through point P and is perpendicular to line A? What is the equation of that line?
b. How would you find the length of the segment of line B from point P to line A?
c. How would you find the midpoint between point P and the intersection of line A and line B ?

Answers

Answer:

y = -6/5x +12/5
distance from P to A: (66√61)/61 ≈ 8.4504
midpoint: (-18/61, 168/61) ≈ (-0.2951, 2.7541)

Step-by-step explanation:

a. The slope of the perpendicular line is the negative reciprocal of the slope of the given line, so is ...

m = -1/(5/6) = -6/5

Then the point-slope form of the desired line through (-3, 6) can be written as ...

y = m(x -h) +k . . . . . line with slope m through (h, k)

y = (-6/5)(x +3) +6

y = -6/5x +12/5 . . . equation of line B

b. The distance from point P to the intersection point (X) can be found from the formula for the distance from a point to a line.

When the line's equation is written in general form, ax+by+c=0, the distance from point (x, y) to the line is ...

d = |ax +by +c|/√(a² +b²)

The equation of line A can be written in general form as ...

y = 5/6x -5/2

6y = 5x -15

5x -6y -15 = 0

Then the distance from P to the line is ...

d = |5(-3) -6(6) -15|/√(5² +(-6)²) = 66/√61

The length of segment PX is (66√61)/61.

c. To find the midpoint, we need to know the point of intersection, X. We find that by solving the simultaneous equations ...

y = 5/6x -5/2

y = -6/5x +12/5

Equating y-values gives ...

5/6x -5/2 = -6/5x +12/5

Adding 6/5x +5/2 gives ...

x(5/6+6/5) = 12/5 +5/2

x(61/30) = 49/10

x = (49/10)(30/61) = 147/61

y = 5/6(147/61) -5/2 = -30/61

Then the point of intersection of the lines is X = (147/61, -30/61).

So, the midpoint of PX is ...

M = (P +X)/2

M = ((-3, 6) +(147/61, -30/61))/2

M = (-18/61, 168/61)

Final answer:

To find line B perpendicular to line A and pass through point P, calculate the negative reciprocal of line A's slope and use it in the line equation along with point P coordinates to find c. The segment length from point P to line A is calculated using the distance formula and involves finding the intersection point between lines A and B. The midpoint is calculated using the midpoint formula.

Explanation:

To answer this question, we need to understand that two lines are perpendicular if the product of their slopes is -1. Line A has a slope of 5/6. Therefore, the slope of line B, perpendicular to line A, is -6/5 (the negative reciprocal). The equation of a line is y = mx + c where m is the slope and c is the y-intercept. As line B passes through point P(-3,6), we can substitute these values into the line equation y = -6/5x + c to solve for c. This will give us the equation of line B.

To find the length of the segment from point P to Line A, we would first need to find the intersection point of Line A and B. Then use the distance formula, which is sqrt[(x2-x1)^2 + (y2-y1)^2].

The midpoint of two points, (x1,y1) and (x2,y2) is given by ((x1+x2)/2, (y1+y2)/2). This formula can be used to find the midpoint between point P and the intersection of line A and line B.

Learn more about Line Equations here:

brainly.com/question/35689521

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X squared -7x-34 =10

Answers

Answer:

x = 11 or x = -4

Step-by-step explanation:

x² - 7x - 34 = 10

Subtract 10 from both sides.

x² - 7x - 44 = 10

Factor the trinominal. We need 2 numbers whose product is -44 and whose sum is -7. They are -11 and 4.

(x - 11)(x + 4) = 0

x - 11 = 0 or x + 4 = 9

x = 11 or x = -4

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?x – 6
5x – 8
6x – 1
8x + 5

Answers

the answer is (6x-1)

Answer: The answer is (B) $(8)/(5)$ and (C) $(1)/(6)$ .

Step-by-step explanation: The given polynomial is

$f(x)=60x^4+86x^3-46x^2-43x+8.$

We are to select the correct option that could be a factor of the polynomial f(x) according to the Rational Root Theorem.

The Rational Root Theorem states that:

If the polynomial $P(x)= a_nx^n+a_(n-1)x^(n-1)+\cdots+a_2x^2+a_1x+a_0$ has any rational roots, then they must be of the form $\pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.$

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only $(8)/(5)$ and $(1)/(6)$ can be written in the form $\pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.$ , because

$(8)/(5)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}},\n\n(1)/(6)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}}.$

Thus, (B) and (C) are the correct options.

What is 3/7 reduce to its lowest term

Answers

3/7 Is already in the simplest term because there is no common factor between 3 and 7 unless it's a decimal, but we don't use decimals in fractions. So 3/7 simplified is just 3/7!

That is the lowest form of 3/7... you can not divide 3 by 7.. say the fraction was 2/4.. you would be able to take 2 divided by 4 and get 1/2.

Please hurry!
The figures in each pair are similar. Find the missing length.

Answers

Answer:y=3 1/8

Step-by-step explanation: