MATHEMATICS HIGH SCHOOL

The component of a along b is root 3 times that of the component of b along a. Then, is a : b?

Answers

Answer 1
Answer:

Answer:

√(3) :1

Step-by-step explanation:

Given:

\vec{a}_{\vec{b}}=√(3)* \vec{b}_{\vec{a}}

|\vec{a}|cos\theta=√(3) *|\vec{b}|cos\theta

|\vec{a}|=√(3) *|\vec{b}|

|\vec{a}|:|\vec{b}|=√(3) : 1

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Find the equation of the line that passes through the points (-800,200)and(-400,300).

Answers

(-800,200), \ \ \ \(-400,300) \n \n first \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y-y_(1))/(x-x_(1) ) \n \nm=(200-300 )/(-800+400) = (-100)/(-400)=(1)/(4) \n \nNow \ use \ y = mx + b \ with \ either \ point \ to \ find \ b, \ the \ y-intercept \ : \n \n y=mx+b \n \n200= (1)/(4) \cdot(-800)+b\n \n200=-200 +b \n \nb=200+200=400 \n \n y= (1)/(4)x+400 \ is \ the \ answer

All equilateral triangles are also isoseles triangles? True or false

Answers

False- equilateral triangles are equal on all three sides and angles as for isosceles triangles are only two equal sides and angles.

What is the point that lies on a graph for 10y=3x-11. Is it A (2,-.5) B (4,1) C (6,16.3). Or D (8,23)?

Answers

case A : x=2, y=-5
so putting the values of x and y in the equation, we get 10y -3x should be -11
so, 10* (-5) - 3 *2 = -50-6 = -56
case B , value of equation = 10*4 - 3*1 = 37
case C, value of equation = 10*6 -3*16.3 = -11.1
Case D, value of equation = 10*8-3*23 = 11
Ans will be C

Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

Answers

The perimeter is the sum of the lengths of the traingle. So,
P = 12x2 - 6
Plugging in the given value of x,
P = 12 (1.5)^2 - 6
P = 21 inches

Assuming that the ends of the straw are not overlapping in forming the triangle, the perimeter is just equal to the original length of the straw.

A semicircular flower bed has a diameter of 3 metres. What is the area of the flower bed?

Answers

The area of circle is

A_{\text{circle}}=\pi r^2.

Then the area of semicircular region is

A_{\text{semicircular region}}=(1)/(2) \pi r^2.

If r=3 m, you have

A_{\text{semicircular region}}=(1)/(2) \pi \cdot 3^2=(9\pi)/(2)=4.5\pi \approx 14.13 sq. m.

Answer: A_{\text{semicircular region}}=4.5\pi \approx 14.13 sq. m.
you would divide 3 by 2 than you would square 1.5 and multiply it by 3.14 7.065

Which number line represents all of the values of x for the equation x2 = 25?A number line is shown from negative 25 to 0 to positive 25. There are increments of 5 on the number line, and all these increments are labeled. A dot is shown on positive 5 and is labeled as p.

A number line is shown from negative 25 to 0 to positive 25. There are increments of 5 on the number line, and all these increments are labeled. A dot is shown on positive 5, another dot is shown on negative 5 and they are labeled as p and q, respectively.

A number line is shown from negative 25 to 0 to positive 25. There are increments of 5 on the number line and all these increments are labeled. A dot is shown on positive 10 and is labeled as p.

A number line is shown from negative 25 to 0 to positive 25. There are increments of 5 on the number line, and all these increments are labeled. A dot is shown on positive 10, another dot is shown on negative 10, and are labeled as p and q, respectively.

Answers

Answer with explanation:

The given equation is:

    x^2=25\n\nx^2=(\pm 5)^2\n\n x=\pm 5

On the number line, mark circles on 5 and -5 , respectively.

Option B:

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X2=5. Square root of 25 =+_5 The number line with the plot on positive 5 and negative 5
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Multiply out the brackets and simplify where possible: 3(2x+5)-2(x-1)