Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7​

Answer:

(B n C) = {b,c}

A = {a,b,c}

B= {b,c,d}

C= {b,c,e}

A u (B n C) = {a,b,c}

(A u B) = {a,b,c,d}

(A u B) n C = {b,c}

(A u C) = {a,b,c,e}

(A u B) n (A u C) = {a,b,c}

Answer:

[tex] {x}^{2} - 3x - 10[/tex]

Step-by-step explanation:

Area= length× width

[tex](x + 2)(x - 5) \\ {x}^{2} + 2x - 5x - 10 \\ {x}^{2} - 3x - 10[/tex]

Answer:

C.7, -2

Step-by-step explanation:

A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:

ax² + bx + c = 0; where a, b, c are constants.

Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.

Solving the equation 2x² - 10x - 20 = 8 using completing the square:

2x² - 10x - 20 = 8

2x² - 10x = 28

Divide through by 2, to make the coefficient of x² to be 1:

x² - 5x = 14

Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]

x² - 5x + 6.25 = 14 + 6.25

(x - 2.5)² = 20.25

taking square root of both sides:

x - 2.5 = √20.25

x - 2.5 = ±4.5

x = 2.5 ± 4.5

x = 2.5 + 4.5; or x = 2.5 - 4.5

x = 7 or x = -2

Answer:

[tex]21 in^{2}[/tex]

Step-by-step explanation:

The square in the middle has a length and width of 3, so multiply. 9.

All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

[tex]A=bh\frac{1}{2}[/tex]

So base*height is 6. Divide that by 2 or multiply by 1/2.

You get 3. There are 4 triangles, so multiply that by 4. 12.

Add 12 and 9 together, and you get:

[tex]21 in^{2}[/tex]

I hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

[tex]A(-3,2)\: B(-1,-2)\: C(1,3)[/tex]

[tex]A=1/2[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

[tex]=1/2[-3(-2-3)(+1(3-2)+1(2-(-2))][/tex]

[tex]=1/2(15+1+4)[/tex]

[tex]=1/2(20)[/tex]

[tex]=10[/tex]

[tex]ANSWER: 10 ~units^{2}[/tex]

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

hope it helps...

have a great day!!

The area of triangle with vertices A(-3,2), B(1,-2), and c(1,3) is 12 units^2.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

The green line represents the height of the triangle = 4 units

The red line represents the base of the triangle = 6 units

Area of the triangle = 1/2 x 6 x 4 = 12 units^2

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Answer:

4 miles

Step-by-step explanation:

120min/12miles

10min/1mile

40min/4miles

The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Ingrid usually runs 12 miles in 2 hours.

2 hours = 120 minutes

Then the speed will be

Speed = 12 / 120

Speed = 0.1 miles per minutes

If she only has 40 minutes to run today.

Then the number of miles can she run, going at the same rate will be

Distance = 0.1 x 40

Distance = 4 miles

Then the correct option is C.

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Answer:

B. Selling treasury securities

Step-by-step explanation:

I'm taking the quiz

The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.

Therefore, the correct answer exists as option B. Selling treasury securities.

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Answer:

the correct answer is c

Step-by-step explanation:

because we use formule when we write a equation

Answer:

24 m³

Step-by-step explanation:

We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .

Volume of one unit :-

[tex]\rm\implies Volume_{one\ unit } = 1m^3 [/tex]

By Unitary Method :-

Volume of two cubes , will be :-

[tex]\rm\implies Volume_{two\ unit } = 2m^3 [/tex]

Volume of one layer :-

[tex]\rm\implies Volume_{one\ layer } = 4m^3 [/tex]

Volume of six layers :-

[tex]\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3} [/tex]

Answer:

(0, 5).

Step-by-step explanation:

$5 is the base fee, so when x = 0, y = 5. 0.75 won't come into play yet.

Answer:

Yes, the data provides convincing evidence that men and women have different average BF%s

Step-by-step explanation:

The given parameters are;

The number of the subjects ages 20 to 80 = 13,601

The body fat percentage, BF%, for the 6,580 men, [tex]\overline x_1[/tex] = 23.9

The body fat percentage, BF%, for the 7,021 women, [tex]\overline x_2[/tex] = 35.0

The standard error for the difference between the average men and women = 0.144

The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

The test statistic = (35.0 - 23.9)/(0.114) = 97.368

Therefore, given that the z-test is larger than the critical-z, we reject the null hypothesis, H₀, therefore, there is convincing statistical evidence to suggest that men and women have different body average BF%

Answer:

y=1/2x+1/2

Step-by-step explanation:

the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2

The equation of line is y= 1/2x+ 1/2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the graph as (-1, 0) and (3, 2).

So, slope of line = (2 - 0)/ (3 -(-1))

                            = 2/4

                            = 1/2

Now, slope- intercept form

y- 0 = 1/2 ( x-(-1))

y= 1/2x + 1/2

Hence, the equation of line is y= 1/2x+ 1/2

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Answer:

[tex]y=3x-17[/tex]

Step-by-step explanation:

Parallel equations always share a slope.

So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]

[tex]-5=3(4)+b[/tex]

simplify both sides

[tex]-5=12+b[/tex]

isolate the variable

[tex]-17=b[/tex]

plug [tex]b[/tex] back into the equation and you get

[tex]y=3x-17[/tex]

Answer:

y = 3 x + 11

 Explanation:

Parallel lines have the same slopes.

The slope of the new line will have the same slope as the given line:

y = 3 x − 4

⇒ m = 3

One point on the line is given,  

( − 2  5 ) .

This is  ( x 1  y 1 )

The formula for slope is  

m = ( change in y values/ change in x-values ) =  y 2  −  y 1/ x 2 − x 1

If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.

y  −  y 1 =  m  ( x  −  x 1 )  

y  −  5  =  3 ( x  −  ( − 2 ) )

y  −  5  =  3 ( x + 2 )

Simplify to get the required equation of the line.

y  =  3 x  +  6  +  5

y  =  3 x  +  11

Step-by-step explanation:

Answer:

[tex]1+\sqrt{2}\\[/tex], [tex]1.5-\sqrt{2}[/tex], [tex]\sqrt{2} -1[/tex], [tex]\sqrt{2}-1 , 0.15+\pi /1000 , \sqrt{2} +0.001[/tex][tex]2.357+\pi /1000000[/tex][tex]0.0001+\pi /10000000[/tex] and I think you got it, just add to the smaller one [tex]\pi /10000000000000\\[/tex]

Step-by-step explanation:

not much to explain, it ןs irrational because [tex]\sqrt{2} and \pi[/tex] arent rattional.

Answer:

roots are real and distinct

Step-by-step explanation:

To determine the nature of the roots use the discriminant , b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then roots are not real

Given

2x² - [tex]\sqrt{5}[/tex] x - 2 = 0

with a = 2, b = - [tex]\sqrt{5}[/tex] , c = - 2 , then

b² - 4ac

= (- [tex]\sqrt{5}[/tex] )² - ( 4 × 2 × - 2)

= 5 - (- 16)

= 5 + 16

= 21

Since b² - 4ac > 0 then the equation has 2 real and distinct roots

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

We know that the radius of the circle and the tangent line of the circle will intersect at the right angle which is 90°.

And the angles of the triangle will be supplementary angles. Then the equation is given as,

∠P + ∠Q + ∠R = 180°

53 + 90° + ∠R = 180°

∠R = 37°

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

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Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

Answer: Answer already been answered credits to that person give that person brainliest

Step-by-step explanation:

Answer:

26 m is the answer to the question

Answer:

15 is 30 percent of 50 hope this helps

Answer:

y = 2/3x - 6

Step-by-step explanation:

The line goes down 2 and 3 left. The line crosses the y-intercept at -6.

Answer:

[tex]m\angle 2=122^{\circ},\\m\angle 1 = 58^{\circ}[/tex]

Step-by-step explanation:

By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.

In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since [tex]\angle 2[/tex] forms an arc labelled 244 degrees, the measure of angle 2 must be [tex]\frac{244}{2}=\boxed{122^{\circ}}[/tex].

Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:

[tex]\angle 1+\angle 2=180,\\\angle 1 + 122=180,\\\angle 1=180-122=\boxed{58^{\circ}}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Picture this circumstance occurring within a circle. The center of the circle is where all the blades meet. That means that in terms of a circle's parts, these blades are the radii of the circle. And if they are all evenly spaced out, and there are 3 of them, the central angle in between each pair is 120 degrees (360/3). Once we know that, we can use the arc length formula for a circle which is

[tex]AL=\frac{\theta}{360}*2\pi r[/tex] and filling in:

[tex]AL=\frac{120}{360}*2(3.1415)(131)[/tex] so

AL = 274.4 feet

Answer:

x+y+3w

Step-by-step explanation:

Answer:

The answer is B

B) x>3

The percentage rate of change of the given functions is given by the

derivative of their natural logarithm.

Responses:

[tex]f(t) = 1.18^t[/tex]

[tex]g(t) = 2^{-2 \cdot t}[/tex]

[tex]h(t) = 1.19^{\frac{t}{10} }[/tex]

[tex]k(t) = 0.13^t[/tex]

The percentage rate of change can be presented as follows;

[tex]Percentage \ rate \ of \ change = \mathbf{100 \times \dfrac{d}{dt} ln \left(f(t)\right)}[/tex]

[tex]f(t) = \mathbf{ 1.18^t} \ gives;[/tex]

[tex]g(t) = \mathbf{2^{-2 \cdot t} }\ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(2^{-2 \cdot t}\right) \right) = \mathbf{ 100 \times -2 \times ln(2)} \approx \underline{ -138.6 \%}[/tex] , exponential decay

[tex]h(t) = \mathbf{1.19^{\frac{t}{10} } }\ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(1.19^{\frac{t}{10} }\right) \right) = \mathbf{ 100 \times \dfrac{10 \cdot ln(1.19)}{100}} \approx 1.7 \%[/tex], exponential growth

[tex]k(t) = \mathbf{ 0.13^t} \ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(0.13^t }\right) \right) = \mathbf{100 \times ln(0.13)}\approx -204 \%[/tex], exponential decay

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Answer:

Step-by-step explanation:

area of a triangle is  1/2* base * height

1/2* 2.6* 3    is the area of the end of the object , now just multiply by it's length

9*( 1/2* 2.6* 3  )

this looks like choice 3 of the choices