Please answer the question stated below

Answer:

r = 2

Step-by-step explanation:

Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)

m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )

5 - r = 3 ( subtract 5 from both sides )

- r = - 2 ( multiply both sides by - 1 )

r = 2

Answer:

14°

Step-by-step explanation:

Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.

Answer:

2

Step-by-step explanation:

Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.

The extraneous solution obtained by Kaylee is y = 4.

To solve the equation, let's follow Kaylee's approach and square both sides:

[tex](1 - y)^2 = (2y^2 - 7)[/tex]

Expanding the left side:

[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]

Rearranging the equation and combining like terms:

[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]

Now, to solve this quadratic equation, we can factor it:

-(y - 4)(y + 2) = 0

Setting each factor equal to zero:

y - 4 = 0   or   y + 2 = 0

Solving for y in each equation:

y = 4   or   y = -2

However, we need to check if these solutions are extraneous by substituting them back into the original equation:

For y = 4:

[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]

-3 ≠ 5

For y = -2:

[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]

From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.

Therefore, the extraneous solution obtained by Kaylee is y = 4.

To know more about extraneous solution, refer here:

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Answer:

fourth option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y), thus

L(2, - 1 ) → L'(2, 1 )

M(3, - 5 ) → M'(3, 5 )

N(6, - 4 ) → N'(6, 4 )

Answer:

y < 1 - (3x)/4

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y < 1 − 3 x /4

the graph is partially shaded. the shade crosses through (0,1) and (1,0).  I hope you can figure that out :)

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

please mark me brainliest :)

Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

Answer:

27

Step-by-step explanation:

9(12)/4

9(3)

27

Answer:

Please mark me brainliest and I hope this helped!

D. 27

Step-by-step explanation:

First, we look at the exponents and for 3, 3 to the power of 2 is 3 times 3. The answer to that is 9. Next, we look at 2 to the power of 3. That is 2 times 2 times 2. That equals 8. 8 + 4 = 12. 12 * 9 = 108. The numerator is 108 so now we go to the bottom and 2 to the power of 2 is 2 times 2. So the denominator is 4. 108 divided by 4 is 27 and that's your answer!

Answer:  31 bacteria per square centimiter.

Step-by-step explanation:

The correct number of bacteria in the question is 2,450.

Hi, to answer this question we have to apply the next formula:

Area of a circle = π x (diameter/2) ^2

Replacing with the values given:

A = π x (10/2) ^2

A = π x (5) ^2

A = π x 25 = 78.54 cm2

Next, we have to divide the number of bacteria (2,450) by the area of the dish  

2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

[tex]-12x^4-11x^2-2[/tex]

Explanation:

Step 1 - Expand

[tex](-3x^2-2)(4x^2+1)[/tex]

[tex]-12x^4-3x^2-8x^2-2[/tex]

Step 2 - Combine like terms

[tex]-12x^4-3x^2-8x^2-2[/tex]

[tex]-12x^4-11x^2-2[/tex]

Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].

Answer:

On Edge, the answer is D. 31x2 – 2.

Answer:

Yes

Step-by-step explanation:

1/3 = 3 in 1

3(1) = 3

3 x 12 = 36

So 36 is correct

Answer:

I’m pretty sure you are correct.

Answer:

not a solution

Step-by-step explanation:

Substitute the point into the equation and see if it is true

y = 7x

4 = 7*1

4 = 7

This is not true so it is not a solution

Answer:

D. (-3, 2)

Step-by-step explanation:

The original point is (3, -2)

The rule for reflecting across the x-axis is (x, y) -> (x, -y)

(3, -2) -> (3, 2)

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

(3, 2) -> (-3, 2)

We want to find the image of the point (3, -2) after two reflections.

The correct option is D: (-3, 2)

Now let's see how to solve this.

The first thing we need to do is describe the two reflections.

For a general point (x, y), a reflection across the x-axis will give the point (x, -y).

And a reflection across the y-axis will give the point (-x, y).

So, if we start with the point (3, -2).

Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)

Now we have a reflection across the y-axis, it gives the point (-3, 2)

So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.

If you want to learn more, you can read:

https://brainly.com/question/25095797

Answer: The answer is C

[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]

The vector (-7,-5) as a sum of unit vectors is -7i-5j

Answer:

C on E2020

Have a Great Day ;)

Answer:

x = -5/7

Step-by-step explanation:

8/(x+3)=1/(x+1)

Using cross products

8*(x+1) = 1*(x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x+3-x

7x +8 =3

Subtract 8 from each side

7x+8-8 = 3-8

7x = -5

Divide by 7

7x/7 = -5/7

x = -5/7

Answer:

Please mark me brainliest and I hope this helps!

Answer: 52

Step-by-step explanation:

The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10

That is equal to 26 + 9 + 7 + 10.

Which is equal to 35 + 17.

And our final answer is 52.

Answer:

105

Step-by-step explanation:

5x3=15

2x3=6

2x6=14+(4x1)=18

2x6=14+(4x1)=18

1x3=3

2x3=6

4x3=12

6x3=18

add all of them...

=105

if its right can u pls mark as brainliest?

The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2(lw + lh + wh)

Where l is length, w is width and h is height.

Given the data in the image;

For the first rectangular prism

For the second rectangular prism

Now, surface area of the first rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)

S.A = 2( 3cm² + 4cm^2 + 12cm² )

S.A = 2 × 19cm²

S.A = 38cm²

Next, the surface area of the second rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)

S.A = 2( 15cm² + 10cm^2 + 6cm² )

S.A = 2 × 31cm²

S.A = 62cm²

Total surface area TSA = 38cm² +  62cm²

T.S.A = 100cm²

Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²

Learn  more about area of prisms here: https://brainly.com/question/17351910

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Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Answer:

So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2

Step-by-step explanation:

Step-by-step explanation:

We have:

(125)^1/3

= (5^3)^1/3

= 5^(3*⅓)

= 5 Ans.

Answer:

[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]

[tex].18+.82=1[/tex]

[tex].14+.86=1[/tex]

[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]

[tex].41+.59=1[/tex]

[tex].48+.52=1[/tex]

[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]

Step by Step:

Step which two decimals added together equal 1?

0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18

[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]

Now solve for the rows in the first table

[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]

so there is the first row for boys in the first table

Now solve for the second rows in the first table

[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]

so there is the second row for girls in the first table

Now we do pretty much the same for table 2 just it's columns instead of rows

[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]

So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.

[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]

So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.

Hope this makes sense and helps!!!

Answer:

first box= boys= .82, .18  girls= .86, 14

second box= boys= .52 .59 girls= .48 .41

Step-by-step explanation:

i did the test

Answer: 295

Step-by-step explanation:

[tex]Formula: a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n[/tex] = nth term (the term we're trying to find.)

[tex]a_1[/tex] = first term

[tex]n[/tex] = nth term

[tex]d[/tex] = difference

[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]

Answer:

- 8x² - 40x - 50

Step-by-step explanation:

Begin by evaluating the inside, that is g(f(x))

Substitute x = f(x) into g(x), that is

g(f(x))

= g(2x + 5)

= (2x + 5)² ← expand using FOIL

= 4x² + 20x + 25

Now substitute x = 4x² + 20x + 25 into h(x)

h(4x² + 20x + 25)

= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2

= - 8x² - 40x - 50

Thus

h(g(f(x))) = - 8x² - 40x - 50

Answer:

the weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

The linear momentum of an article is : p = mv

Where p = Momentum

m = mass

v = velocity

The velocity is 16 meters per second and the object weighs 450 kilograms

So, [tex]p = 450 \times 16[/tex]

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that the linear momentum is a constant when the mass varies inversely of the velocity.

So, [tex]450 \times 16 = 12 \times m\\\frac{450 \times 16}{12}=m\\600=m[/tex]

Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms

Answer:The polygon has 18 sides.

Step-by-step explanation;since it is a straight line, we get 8x since they said that each interior angle is 8 times the exterior angleso it is 8x =x which is the exterior angle +180 degrees since it is a sraight line.

n:

Answer:

A) Each Interior Angle = 180 degrees - (360 / number sides)

B) Each Exterior Angle = 360 / number of sides

A) = 8 * B)

8 * 360 / # sides = 180 - (360 / #sides)

We'll call # sides as "n".

2,880 / n = [ 180 - (360 / n)]

2,880 = n * [ 180 -(360 / n)]

3,240 = 180n

180n = 3,240

n = 18 sides.

The polygon has 18 sides which is an octadecagon.

Step-by-step explanation:

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

y= -1/2x + 2

y=mx+b

b is the y intercept which is where the line passes through the point.

m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative

it is 300 and 300

and 300

Answer:

its 4

Step-by-step explanation:

Answer:

0.5m+2.50=c

Step-by-step explanation:

Just trust me brah

Answer:

x = 7

Step-by-step explanation:

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

tan theta = opposite/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7

Divide each side by tan 45

x = 7/ tan 45

x = 7

Answer:

7

Step-by-step explanation:

It is a 45 45 90 triangle

meaning that the side lenghts will be x, x, x root 2

the hypotenuse will be x root 2, so that means that the side length will be 7