What is the volume of the cylinder?
•576 cm3
•2887 cm3
•96 cm3
•192 cm3

Answer:

Slope-intercept form: [tex]y=-\frac{7}{4}x-\frac{19}{2}[/tex]

Point-slope-form: [tex]y-1=-\frac{7}{4}(x+6)[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line perpendicular to the line 4x-7y=2 that goes through (-6, 1) in slope-intercept form, as well as the point-slope form

Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y intercept

Point-slope form is defined as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

Meanwhile, perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So let's find the slope of the line 4x-7y=2

The equation of the line is in standard form, which is ax+by=c, where a, b, and c are integer coefficients a is non-negative, and a and b aren't 0

So let's find the slope of the line 4x-7y=2

One way to do that is to convert the equation of the line from standard form to slope-intercept form

Our goal is to isolate y onto one side

Subtract 4x from both sides

-7y=-4x+2

Divide both sides by -7

y=[tex]\frac{4}{7}x-\frac{2}{7}[/tex]

So the slope of the line 4x-7y=2 is [tex]\frac{4}{7}[/tex]

Now, we need to find the slope of the line perpendicular to it

Use this formula: [tex]m_1*m_2=-1[/tex]

[tex]m_1[/tex] in this case is [tex]\frac{4}{7}[/tex]

[tex]\frac{4}{7}m_2=-1[/tex]

Multiply both sides by [tex]\frac{7}{4}[/tex]

m=[tex]-\frac{7}{4}[/tex]

Let's see the equation of the perpendicular line so far in slope-intercept form:

y=[tex]\frac{-7}{4}x[/tex]+b

We need to find b now

The equation of the line passes through (-6,1), so we can use it to solve for b.

Substitute -6 as x and 1 as y

[tex]1=-\frac{7}{4}*-6+b[/tex]

Now multiply

1=[tex]\frac{42}{4}+b[/tex]

Subtract 42/4 from both sides to isolate b

-19/2=b

Substitute -19/2 as b into the equation

The equation in slope-intercept form y=[tex]\frac{-7}{4}x-\frac{19}{2}[/tex]

Now, here's the equation in point-slope form

Recall that the slope is [tex]\frac{-7}{4}[/tex] , our point is (-6, 1), and point-slope form is [tex]y-y_1=m(x-x_1)[/tex]

Let's label the value of everything to avoid any confusion

[tex]m=-\frac{7}{4} \\x_1=-6\\y_1=1[/tex]

Now substitute those values into the equation

[tex]y-1=-\frac{7}{4}(x--6)[/tex]

We can simplify the x--6 to x+6

[tex]y-1=-\frac{7}{4}(x+6)[/tex]

Hope this helps!

Answer:

237 because it can come in both

Answer:

a = 20; b = 10sqrt(3)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

b = 10 * sqrt(3)

b = 10sqrt(3)

a = 2(10)

a = 20

Answer: a = 20; b = 10sqrt(3)

Answer:

a=20,[tex]b=10\sqrt{3}[/tex]

Step-by-step explanation:

SOH-CAH-TOA

Tan = O/A

Tan(60)= b/10

[tex]b=10\sqrt{3}[/tex]

Cos = A/H

cos(60) = 10/a

a=20

Answer:

S=(-2, -9)

T=(-8, -9)

U=(-9, -5)

V=(-6, -5)

Step-by-step explanation:

rotating counter clockwise 90 degrees has a simple formula: (-y, x) simply take your ordered pair and rearrange it to match this formula.

ex. (3, 4) would become (-4, 3)

(-y, x) the negative symbol in front of the y means to switch the sign from either positive or negative to its opposite. since there is no symbol in front of the x you keep that numbers sign the same.

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Work Shown:

15% of 28 = 0.15*28 = 4.20 is paid as a tip

10% of 28 = 0.10*28 = 2.80 is paid as tax

28+4.20+2.80 = 35 dollars is the final bill after both tip and tax are included.

Answer:

x=11

Step-by-step explanation:

(x+7)×7=6×(6+15)

or, 7x+49=6×21

or, 7x=126-49

or, 7x=77

or, x=11

Answer:

d

b

a

c

Step-by-step explanation:

degree 1 -  5x+5  -  d.

degree 2-    3x^2-2x+4-  b.

degree  3 -  1/2x^3+8x^2-3-    a.

degree 4 -  x^4+(x+4)^2- c

Answer:

5x=20

5x/5=20/5

x=4

Step-by-step explanation:

substitute the 5x

divide both sides by 5 it will be 20 divide by 5

answer is x =4

Answer:

Step-by-step explanation:

For the m it would just be -3 because the equation for slope intercept form is y=mx+b

Answer:

No, the points are in a linear pattern.

Step-by-step explanation:

Residual plot is a graph that shows the residuals on the vertices. The y-axis has residual values and x-axis has independent variables. The horizontal axis shows the independent variables to determine the best fit for a set. The graph given is in a linear pattern. The random pattern shows that linear model is good fit.

Answer:

C: No, the points are in a linear pattern

Step-by-step explanation:

edg2021

I have been seeing this question with multiple different answers, and no one is sure about anything! All I can say for sure is that IT IS NOT A! So C makes the most sense. B is simply not true, and neither is D, its not curved or evenly distribute.

Answer:

23 x 4

=> 23 x (2 + 2)

=> 23 x 2 + 23 x 2

23 x 21

=> 23 x (3 x 7)

=> (23 x 3) x (23 x 7)

23 + 23 + 23 + 23 = to get the answer of 92

23 x 2 + 23 x 2 =.92

Answer:

tan(<G) = [tex] \frac{HI}{GI} [/tex]

Step-by-step explanation:

Given:

Right triangle ∆GHI,

Required:

Equivalent of tan(<G)

SOLUTION:

Recall the acronym for trigonometric ratios of angles in a right triangle: SOHCAHTOA.

Thus, the TOA in the acronym above stands for:

Tan(θ) = side opposite to θ ÷ side adjacent to θ

Where,

θ is the angle of interest = <G

Opposite side = HI

Adjacent side = GI

The equivalent of tan(<G) = [tex] \frac{HI}{GI} [/tex]

We simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.

To simplify the given expression, -2(8 - 1), we can start by evaluating the expression inside the parentheses,

8 - 1 = 7

Now, we substitute this value back into the original expression:

-2(7)

Multiplying -2 by 7, we get:

-2 * 7 = -14

Therefore, -2(8 - 1) simplifies to -14.

In this case, we simplified the expression inside the parentheses first and then applied the multiplication operation. It's important to remember that when there is a negative sign in front of parentheses, it distributes to each term inside the parentheses. So, -2 multiplied by 8 gives -16, and -2 multiplied by -1 gives +2. The sum of -16 and +2 is -14.

In summary, when we evaluate the expression -2(8 - 1), the result is -14. This means that if we follow the order of operations (parentheses first, then multiplication), we simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.

For more such questions on expression

https://brainly.com/question/29070527

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Answer:

The correct answer of this question is( larger)

may this answer is helpful for you

[tex] d \propto v^2[/tex]

$\implies d=kv^2$

substitute the given values, $5=k(10)^2\implies k=\frac1{20}$

now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$

A big blunder from my side, now fixed!

Answer:

[tex](2x - 1)( - {x}^{2} + 4x + 6) \\ = 2x \times - {x}^{2} + 2x \times4x + 2x \times 6 \\ - 1 \times - {x}^{2} - 1 \times 4x - 1 \times 6 \\ = - 2 {x}^{3} + 8 {x}^{2} + 12x + {x}^{2} - 4x - 6 \\ = - 2 {x}^{3} + 9 {x}^{2} - 8x - 6 \\ thank \: you[/tex]

Answer:

9.6km

Step-by-step explanation:

Do 6x1.6 ÷1= 9.6km

Answer:9.6km

Step-by-step explanation: Recall BSM(big-small-multiply),so

1.6km×6

Answer: The number of pounds depend on the total price.

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

It just is also, it’s for plato

Answer:

Answer:  In number theory, two integers a and b are said to be relativley prime or co prime, if the only positive integer (factor) that divides both of them is 1.Consequently, any prime numbers that divides one does not divide the other.

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

Let 5x = y.

(52)x+3(5x)−4=0

y2+3y−4=0

y2−y+4y−4=0

y(y−1)+4(y−1)=0

(y+4)(y−1)=0

y=−4;y=1

y = -4 is not possible.

y = 1 ⟹ x = 0.

Answer:

0

Step-by-step explanation:

Explanation:

Answer:

-8

Step-by-step explanation: As you go back 10 into the negetives and i saying neg 8 would be your answer

Answer:

The height of the flag pole is approximately 19 feet and 2 inches.

Step-by-step explanation:

Let suppose that length of the shadow of the object is directly proportional to its height. Hence:

[tex]l \propto h[/tex]

[tex]l = k\cdot h[/tex]

Where:

[tex]h[/tex] - Height of the object, measured in inches.

[tex]l[/tex] - Shadow length of the object, measured in inches.

[tex]k[/tex] - Proportionality constant, dimensionless.

Now, let is find the value of the proportionality constant: ([tex]h = 5\,\frac{1}{4} \,ft[/tex] and [tex]l = 2\,ft\,\,10\,\frac{1}{2}\,in[/tex])

[tex]h = \frac{21}{4}\,ft[/tex]

[tex]h = \left(\frac{21}{4}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]

[tex]h = 63\,in[/tex]

[tex]l = (2\,ft)\cdot \left(12\,\frac{in}{ft} \right) + \frac{21}{2}\,in[/tex]

[tex]l = 24\,in + \frac{21}{2}\,in[/tex]

[tex]l = \frac{48}{2}\,in+\frac{21}{2}\,in[/tex]

[tex]l = \frac{69}{2}\,in[/tex]

Then,

[tex]k = \frac{l}{h}[/tex]

[tex]k = \frac{\frac{69}{2}\,in }{63\,in}[/tex]

[tex]k = \frac{69}{126}[/tex]

[tex]k = \frac{23}{42}[/tex]

The equation is represented by [tex]l = \frac{23}{42}\cdot h[/tex]. If [tex]l = 10\,\frac{1}{2}\,ft[/tex], then:

[tex]l = \frac{21}{2}\,ft[/tex]

[tex]l = \left(\frac{21}{2}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]

[tex]l = 126\,in[/tex]

The height of the flag pole is: ([tex]l = 126\,in[/tex], [tex]k = \frac{23}{42}[/tex])

[tex]h = \frac{l}{k}[/tex]

[tex]h = \frac{126\,in}{\frac{23}{42} }[/tex]

[tex]h = \frac{5292}{23}\,in[/tex]

[tex]h = 230\,\frac{2}{23}\,in[/tex]

[tex]h = \frac{115}{6}\,ft\,\frac{2}{23}\,in[/tex]

[tex]h = 19\,\frac{1}{6}\,ft \,\frac{2}{23}\,in[/tex]

[tex]h = 19\,ft\,\,2\,\frac{2}{23}\,in[/tex]

[tex]h = 19\,ft\,\,2\,in[/tex]

The height of the flag pole is approximately 19 feet and 2 inches.

Answer:

D

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to pre image

scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D

Answer:

1.3

Step-by-step explanation:

5.2/4 = 1.3

To check, 1.3 multiplied by four is 5.2.

Answer:

It’s 1.3

Step-by-step explanation:

Make meeee brainliest

Answer:

31200

Step-by-step explanation:

First, the starting price is 30000. We then must find the value after a 20% discount is applied. To do this, we can first convert 20% into a decimal value. That can be obtained by multiplying the percent by 1/100, so 20% * 1/100 = 0.2 . Therefore, the discount is 30000 * 0.2 = 6000 . Discounts work by subtracting the discount from the market price to get the final value, so we have

30000 - 6000 = 24000 as the value before tax.

Then, we can include the VAT, which is 30% of our new price. 30% as a decimal is 30 * 1/100 = 0.3, so we can find the tax of our product as 0.3 * 24000 = 7200. Taxes work by adding the taxed value on top of the price, so we can add 7200 to the value before tax to get 31200 as the final price including VAT

[tex]\dfrac{5\cdot10^6}{5\cdot10^4}=10^{6-4}=10^2=100[/tex]

Answer:

100 times more

Step-by-step explanation:

5*10^4 over 5*10^6 is 1/100

Answer:

Step-by-step explanation:

[tex] \frac{2 \sqrt{3} }{3} - \frac{ \sqrt{3} }{6} [/tex]

Expand the fraction to get the Least common denominator

[tex] \mathsf{ = \frac{2 \times 2 \sqrt{3} }{2 \times 3} - \frac{ \sqrt{3} }{6} }[/tex]

Multiply the numbers

[tex] \mathsf{ = \frac{4 \sqrt{3} }{6} - \frac{ \sqrt{3} }{6} }[/tex]

Write all numerators above the common denominator

[tex] \mathsf{ = \frac{4 \sqrt{3} - \sqrt{3} }{6} }[/tex]

Collect like terms

[tex] \mathsf{ = \frac{3 \sqrt{3} }{6} }[/tex]

Reduce the fractions with 3

[tex] \mathsf{ = \frac{ \sqrt{3} }{2} }[/tex]

Hope I helped!

Best regards!

Answer:

None

Step-by-step explanation:

All of the fractions listed are not a whole or more than a whole. They are all parts of a whole, therefore she did not spend more than an hour on any of them

Answer:

cooking and swimming

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9