Question 2 of 10
What is the point-slope form of a line with slope -4 that contains the point
(-2, 3)?

Answer:

I'm sorry the answer above me is incorrect. The correct answer is A.

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Edge 2022 Unit test

Answer:

2 minutes

Step-by-step explanation:

90 words ÷ 4 minutes

= 22.5 words

22.5 words × 2 minutes

= 45 words

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Answer:

cute scalene triangle.

Sides: a = 1   b = 2   c = 1.906

Area: T = 0.94

Perimeter: p = 4.906

Semiperimeter: s = 2.453

Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad

Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad

Angle ∠ C = γ = 70° = 1.222 rad

Height: ha = 1.879

Height: hb = 0.94

Height: hc = 0.986

Median: ma = 1.888

Median: mb = 1.147

Median: mc = 1.262

Inradius: r = 0.383

Circumradius: R = 1.014

Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]

Centroid: CG[0.691; 0.329]

Coordinates of the circumscribed circle: U[0.953; 0.347]

Coordinates of the inscribed circle: I[0.453; 0.383]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad

∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad

∠ C' = γ' = 110° = 1.222 rad

Step-by-step explanation:

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

\(\frac{60}{100} = \frac{x}{1280}\)

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

\(\frac{40}{100} =\frac{x}{1280}\)

100x=51,200

x=512 L

The implications of Constructivist approach in teaching mathematics is that it helps the students to develop a better way to comprehend the content of what they are being taught.

A constructive approach of teaching mathematics believes that students construct knowledge rather than just passively take in information.

A constructive approach of teaching also believes that students integrate new knowledge with existing knowledge to create a deeper understanding of the mathematics being taught to them.

Therefore, constructive approach of teaching can help the students to comprehend the content of what they are being taught.

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9514 1404 393

Answer:

  49.3 feet

Step-by-step explanation:

Shadow lengths and object heights are considered to be proportional, so we have ...

  tree height/(tree shadow) = Andrew's height/(Andrew's shadow)

  height / (85 ft) = (5.8 ft)/(10 ft)

  height = (85 ft)(5.8/10) = 49.3 ft

The tree is 49.3 feet tall.

Answer:

a command demonimater of 6 and 7 is 42

35/42 and 36/42

Hope This Helps!!!

Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

\(N+D+Q=72\\0.05N+0.10D+0.25Q=10.20\)

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

\(10N+20D+15Q=1,060\)

Solving the linear system:

\(N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24\)

You have found 24 nickels.

Graph 3

Because

The graph is like the first graph

When x approaches+oo y approaches+oo

But when x is negative the reverse thing happens

Hence Graph C is correct

Answer:

Graph 3

Step-by-step explanation:

Given function:

\(f(x)=\sqrt[3]{-x}\)

Therefore, the parent function is:

\(f(x)=\sqrt[3]{x}\)

(The graph of the parent function is the first graph in the answer options).

The transformation that takes the parent function to the given function is:

\(y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}\)

Therefore, the graph of the given function is the third graph in the given answer options (see attached).

Given:

The Radius of earth = 6,378,100 meters

To find:

The radius of earth in single-digit number multiplied by power of 10.

Step by step solution:

R = 6,378,100 meters

R = 6.3781 × 10^6

From here we have calculated the value of the radius in terms of single digit number.

Answer:

This captain could select 350 different teams.

Step-by-step explanation:

The order in which the girls and the boys are picked is not important. For example, picking Daniela and Laura is the same as picking Laura and Daniela. So we use the combinations formula to solve this question.

Combinations Formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Girls:

2 from a set of 5. So

\(C_{5,2} = \frac{5!}{2!(5-2)!} = 10\)

Boys:

3 from a set of 7. So

\(C_{7,3} = \frac{7!}{3!(7-3)!} = 35\)

Total:

\(10*35 = 350\)

This captain could select 350 different teams.

Answer:

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

Find the difference of the initial and used amounts:

Answer/Step-by-step explanation:

For example, if we are given that:

A is to B, there are 3 ways we can express the ratio, which are:

In ratio notation form, we would write it as A to B

In Colon Form, we would write it as A:B, and

In fraction form, we have A/B.

Apply this in the problem given above.

Thus:

1. 6 teachers to 120 students:

Ratio Notation form = 6 to 120

Colon form = 6:120

Fraction form = 6/120

2. 27 avocadoes to 15 atis:

Ratio Notation form = 27 to 15

Colon form = 27:15

Fraction form = 27/15

3. 18 bananas to 12 papayas:

Ratio Notation form = 18 to 12

Colon form = 18:12

Fraction form = 18/12

4. 24 males to 30 females:

Ratio Notation form = 24 to 30

Colon form = 24:30

Fraction form = 24/30

5. 32 cups to 40 saucers:

Ratio Notation form = 32 to 40

Colon form = 32:40

Fraction form = 32/40

Answer: To look up an answer: Locate the Item Number for the particular problem for which you want the answer. This is at the top of the screen as.

Step-by-step explanation:

Answer:

T =54 degrees

since x=10

6x-6 =54

are you clear, if yes give me brainliest and if no draw my attention by hitting the comment section

Answer:

16

Step-by-step explanation:

10        10

+6        +6

___     ___

  6        1 6

Answer:

draw ten shapes then put a plus sign  and on the other side draw six shapes

Step-by-step explanation:

The volume of the solid generated by revolving the regions bounded by the curves and lines about the y axis is \(\frac{17 \pi}{6}\).

We want the volume generated when the area bounded by the curves:

\($y=x^2, y=8-7 x$\), and x=0 for \(x \geq 0$\) is revolved about the y axis using the cylindrical shell method. The intersection of \($y=x^2$\) and \($y=8-7 x$\) is :

\($$\begin{aligned}& y=x^2=8-7 x \\& x^2+7 x-8=0 \\& (x+8)(x-1)=0 \Rightarrow x=-8 \text { or } x=1 .\end{aligned}\)

We thus have for \($x \geq 0$\) the two curves intersect at x=1 and\($y=1^2=1$\).

The limits for integration are .

The upper curve is \($y_2=8-7 x$\), and the lower curve is\($\cdots y_1=x^2$\).

The height of the shell is \($\cdots h=y_2-y_1=8-7 x-x^2$\).

The radius of the shell is\($\cdots R=x$\).

The surface area of the shell is:

The differential of volume which is the cylindrical shell is :

We then have the volume of revolution is:

\($$\begin{aligned}& v=2 \pi \int_0^1\left(8 x-7 x^2-x^3\right) d x \\& =2 \pi\left(4 x^2-\frac{7}{3} x^3-\frac{1}{4} x^4\right)_0^1 \\& =2 \pi\left[4\left(1^2-0^2\right)-\frac{7}{3}\left(1^3-0^3\right)-\frac{1}{4}\left(1^4-0^4\right)\right] \\& =2 \pi\left(4-\frac{7}{3}-\frac{1}{4}\right) \\& =2 \pi\left(\frac{48-28-3}{12}\right) \\& =2 \pi\left(\frac{17}{12}\right) \text {; or, we have: } \\& v=\frac{17 \pi}{6} \text {. }\end{aligned}$$\)

Therefore, the volume of the solid generated by revolving the regions bounded by the curves and lines about the y axis is \(\frac{17 \pi}{6}\).

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Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Answer:

bhbihihibibiuiuiuiubiubiubibiubiub

Step-by-step explanation:

Answer:

She can fill 17 jars and will still have 8 pennies left over.

17*26=442

450-4422=8

Let me know if you need more help! :)

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

35.5 %

Step-by-step explanation:

426/1200 * 100 = 35.5 %

Answer:5,112

Step-by-step explanation:

The area of the garden be  after he doubles the length and width is 160 square feet.

Given that,

Based on the above information, the calculation is as follows:

We know that

Area = (length) (width)

Now if the area is doubled

So,

= (2) (length)  (2) (width)

= 4(length) (width)

= 4 (40)

= 160

Therefore, we can conclude that option b is correct.

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Answer: -2=y

Step-by-step explanation:

Answer:

2-y

Step-by-step explanation:

Answer:

I believe -28 would be the value of “number”

Step-by-step explanation:

-7x4

Answer: x = -28

Step-by-step explanation:

Let the number be x,

x/4= -7

x = -7x4= -28

Therefore , x = -28

Checking:

-28/4 = -7

Answer:

d

Step-by-step explanation:

it is

Answer:

x = -24ySimplifying

15y + (x + 9y) = 0

Remove parenthesis around (x + 9y)

15y + x + 9y = 0

Reorder the terms:

x + 15y + 9y = 0

Combine like terms: 15y + 9y = 24y

x + 24y = 0

Solving

x + 24y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24y' to each side of the equation.

x + 24y + -24y = 0 + -24y

Combine like terms: 24y + -24y = 0

x + 0 = 0 + -24y

x = 0 + -24y

Remove the zero:

x = -24y

Simplifying

x = -24y

Step-by-step explanation:

Answer:

Step-by-step explanation:

The left piece has a slope of 1 and a y-intercept of 3. Its equation is ...

  f(x) = x +3, if -3 ≤ x < -1

The right piece is a horizontal line at y = 5. Its equation is ...

  f(x) = 5, if -1 ≤ x ≤ 1

Then the piecewise function is ...

  \(f(x)=\left\{\begin{array}{ll}\boxed{x+3}&\text{if $-3\le x<1$}\\\\\boxed{5}&\text{if $-1\le x\le 1$}\end{array}\right.\)

Answer:   5/8

Step-by-step explanation:

Answer:

The probability is 5/8

Step-by-step explanation:

First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.

Hope this helps!!