toán 11!!!!!!!!!!!!!!!!!!!!!!!!!

Answer: 8 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED

2x=x+2

x=2

AC=2x+x+2

AC=3x+2

SUbstitute x

AC=3(2)+2

AC=6+2

AC=8

Answer: x= 6 +/- root of 7

Step-by-step explanation:

1. Expand the left hand side: e.g, 3^2 = 3×3 =9

(x-6)(x-6) = 7

2. Multiply the brackets first by "separating" one of them, and take 7 to the left hand side:

x(x-6) - 6(x-6) =7

x^2 - 6x -6x +36-7=0

Simplify by adding like terms

x^2 -12x +29=0

3.Now your equation is in the form ax^2+bx + c =0, it means you can use the quadratic formula which is x= [-b +/- root of (b^2 - 4ac)]÷ 2a

Then SUBSTITUTE where:

a=1

b= -12

c=29

Therefore, x should be 6+ root of 7 OR 6- root of 7

Answer:

uhhhh okay thank you for removing my answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of the measure of the two opposite interior angles.

Answer:

Remember that the area of a square of sidelength L is:

A = L^2

And the area of a circle of diameter D is:

A = pi*(D/2)^2

If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:

Notice that the diameter of the circle will be equal to the diagonal of the square.

And the diagonal of a square of side length L is:

d = √(2)*L

knowing that the side length of our square is 6 inches, the diameter of the circle will be:

D = √2*6in

Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.

The area of the circle is:

A = pi*(√2*6in/2)^2 = (pi/2)*36in^2

The area of the square is:

A' = (6in)^2 = 36in^2

The difference is:

A - A' =  (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2

And there are 4 of these segments, then the area of every single one is one-fourth of that:

a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2

The area of each segment is:

a =  (pi/2 - 1)*9 in^2

if we replace pi by 3.14, the exact area will be:

a = (3.14/2 - 1)*9in^2 = 5.13 in^2

Answer:

158cm

Step-by-step explanation:

Martine had the height of 50cm when born.

Every year she grows at an average rate of 6cm

So the the first 18 years will be 6cm × 18 = 108cm

She will be 108cm + 50cm = 158cm tall by the time she turns 18 years

50cm + (6 × 18)cm

50cm + (6 × 18)cm50cm + 108cm

50cm + (6 × 18)cm50cm + 108cm158cm

Answer:

30

Step-by-step explanation:

90 = 2 × 3^2 × 5

210 = 2 × 3 × 5 × 7

HCF = 2 × 3  × 5 = 30

Answer:

3.25 minutes

Step-by-step explanation:

3.25 minutes per green light x 24 = 78

the yellow light is a given, hence 6 cars pass through

78 + 6 = 84 cars

Answer:

sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/2

2 sin 45 =x

2 (sqrt(2)/2) =x

sqrt(2) =x

Answer:

x = 16.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 50 = x/22

22 sin 50 =x

x=16.85297

To the nearest tenth

x = 16.9

Answer:

$5.00

Step-by-step explanation:

$3.50+$1.50=$5.00

Answers:

Center = (1, 5)

Radius = 3

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

Work Shown:

[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]

----------------------

Explanation:

The idea is to complete the square for the x and y terms separately.

Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.

The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2

Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]

Center = (h,k) = (1,5)

Radius = r = 3

Answer:

The slope is (1/4)

Step-by-step explanation:

Slope is calculated for the points (5,6) and (1,5). Slope is (6-5)/(5-1)=1/4

Answer: m = 10/3

Step-by-step explanation:

(0.3, 1) (0.6, 2)

(2-1)/(0.6-0.3)=

1/0.3 = 10/3

Answer:

1/24 (fraction form)

hope this helps

Answer:

its octagon. first and last one it has total 8 sides

Answer:

there may be mistake in the question

Answer:

B.

Step-by-step explanation:

1. We can clearly see that the "rise" is 5 and the "run" is 2, which cancels out both A. and D.

2. The line is dashed, which therefore cancels out both C. and D.

3. Just by canceling out those two can help you see that B fits what is seen in this figure because option A. has the wrong amount of "rise" over "run".

The linear inequality can be obtained from the given graph (the nature

of the line and the feasible (shaded) region).

Response:

[tex]B. \ y < -\dfrac{5}{2} \cdot x - 2[/tex]

The given points in the graph are;

(-2, 3), and (0, -2)

The slope of the line is therefore;

[tex]Slope = \dfrac{-2 - 3}{0 - (-2)} = \mathbf{-\dfrac{5}{2}}[/tex]

The equation of the line is therefore;

[tex]y - 3 = \mathbf{ -\dfrac{5}{2} \cdot (x - (-2))}[/tex]

[tex]y = -\dfrac{5}{2} \cdot x - 5 + 3 = -\dfrac{5}{2} \cdot x - 2[/tex]

[tex]y = \mathbf{-\dfrac{5}{2} \cdot x - 2}[/tex]

Given that the left side (below the line of the equation of the graph) is

shaded and the line of the graph is a broken line, the correct option is

therefore;

[tex]B. \ y < -\dfrac{5}{2} \cdot x - 2[/tex]

Learn more about the graph of inequalities here:

https://brainly.com/question/19251897

Answer:

x = 3

Step-by-step explanation:

using the mid segment formula since quadrilateral WZYP is similar to that of MZYT, this is expressed as;

29 = 1/2(23 +11x+2)

Cross multiply

2(29) =  23+11x+2

58 = 25 + 11x

11x = 58 - 25

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence the value of x is 3

Answer:

f(x) = -(x+2)(x-1)

Step-by-step explanation:

We know the zeros are at 1 and -2

f(x) = a *(x-b1)(x-b2)  where b1 and b2 are the zeros and a is a constant

f(x) =a(x-1)(x- -2)

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

We know that a must be negative since the parabola opens down so

The only choice is choice D where a = -1

f(x) = -(x+2)(x-1)

Answer:

95 times

Step-by-step explanation:

201=11+(n)*2, 190=(n)*2, n=95

Answer:

Step-by-step explanation:

Find the slope of the line AB.

The slope:

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

A = 2, B = 1, C = 28

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

[tex]y-y_{1}=m(x-x_{1})[/tex]

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

B=1

C=28

Answer:

Not factarable, all terms must be in x. or y

Step-by-step explanation:

Answer:

product =7×6=42

subtract 42-7=35

steAnswer:

Step-by-step explanation:

step1 5(9x-8)=4(x+2)

step2 45x -40=4x +8

step3 41x=48

step 4 x=48/41

Answer:

x=19.86

Step-by-step explanation:

use cosine,

cos 19°=x/21

x=cos 19° * 21

x=19.86

2

[tex]\\ \sf\longmapsto 5.5\times 10^3[/tex]

[tex]\\ \sf\longmapsto 55\times 10^4[/tex]

We know

Hence number of significant figures is 2

9514 1404 393

Answer:

  2

Step-by-step explanation:

When a number is written in scientific notation, all of the digits of the mantissa are considered significant. The mantissa is 5.5, which has 2 digits.

There are 2 significant digits in the number.

Answer:

125g:1Kg

=> 125g : 1000g

Answer:

1:8

Step-by-step explanation:

125 g:1 kg

125g:1000 g

1 g:8 g

Keep smiling and hope u will be satisfied with my answer.Have a good day :)

Answer:

congratulate you have Windows 11