Write an equation of the line that passes through the point (-7, -9) with slope -4


A. Y+7= 4(x +9)
B.y+9= 4(x + 7)
c. y +9= - 4(x + 7)
D. Y+7= - 4(x +9)

Answer: the answer is 151

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x = 4 or x = - [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Given

(2x - 8)(7x + 5) = 0

Equate each factor to zero and solve for x

2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4

7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]

Answer:

220 units

Step-by-step explanation:

ER = ET = 33   tangents from same poiint

DE = 59 => DS = DR = 59-33 = 26

DC = 77 => CR =CT = 77-26 = 51

Perimeter

= 2 *( ES + DR + CT )

= 2* (33 + 26 + 51)

= 220

Credit and thanks to ValerieUlbrich.  :)

Answer:

Step-by-step explanation:

Total stock available = 6 x 3/4 = 18/4

Detergent given to each class=3/8

Total number of classes in the school = 28

Total detergent required by the school=3/8*28

=42/4

a. Fraction if the school who will get the detergent=18/42

b. Total required detergent for the whole school= 42/4

c. School needs to order = 42/4 - 18/4  

= 24/4

= 6

d. i. Detergent given out to 15 classes = 15 x 3/8

= 45/8

ii. There will be no detergent left in stock

Answer: x = [tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

7/12 = 1/2x

Multiply by 2

14/12=x

x = 1 1/6

Hope it helps <3

Answer:

{–3, 2, 5}

Step-by-step explanation:

The range refers to the values for the axis i.e to be dependent when there is a defined function

And the range is the combination of the integer i.e to be compounded by these three values  

Data provided in the question

-3 , x ≤ 0

2, 0 < x ≤ 4

5, 4 < x ≤ 10

Based on the above information, the range of g(x) is {-3,2,5}

Hence, the correct option is c.

Answer:

C

Step-by-step explanation:

Answer:

-5+6k

Step-by-step explanation:

19-6(-k+4)=16+6k-24=6k-5

Answer:

6k-5

Step-by-step explanation:

19-6(-k+4)=

19+6k-24=

6k-5

Answer:

4.5cm

Step-by-step explanation:

Using Sine Rule:

a/sinA = b/sinB = c/sinC

step:

7/sin90 = TU/sin40

TU = 7/sin90 X sin40

TU = 4.4995

TU = 4.5cm

MAKE ME AS THE BRAINLIEST

Answer:

D

Step-by-step explanation:

x^2 - 4x + 4 = 36

Take the square root on both sides.

x - 2x + 2 = 6

Answer:

Bottom right on TTM/Imagine Math    on the question asked it is d.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.

Answer:

The answer is 13.

Step-by-step explanation:

here, ( 4x+ 22x)/2x

taking 2x common we get, 2x(2+11)/2x

=13 ..... is answer ( as 2x gets cancelled)

Hope it helps..

Answer:

0.00375

Step-by-step explanation:

The money factor for a lease is used to determine how much is charged monthly on a lease payment. If the money factor is low, the lease payment is low making it a good transaction but if the money factor is high, the lease payment is also high and this is not desirable. The money factor is given by:

Money factor = Interest rate / 2400

Given an interest rate of 9%, the money factor is calculated as:

Money factor = Interest rate / 2400 = 9% / 2400 = 0.00375

Answer:

Bags = 22

Hat = 14

22 x 2 = 44

14 x 4 = 56

So the first part is true

3 x 22 = 66

7 x 14 = 98

So the second part is true

14 is the answer

It's trial and error

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your difference of perfect cubes formula is given as

[tex](a-b)(a^2+ab+b^2)[/tex] and you have already correctly identified a as [tex]5q^2[/tex]  and b as [tex]r^2s[/tex]. So we fill in the formula as follows:

[tex](5q^2-r^2s)((5q^2)^2+(5q^2)(r^2s)+(r^2s)^2)[/tex] and we simplify.  Remember that

[tex](5q^2)^2=(5)^2*(q^2)^2=25q^4[/tex]. It's important that you remember the rules.

Simplifying then gives us

[tex](5q^2-r^2s)(25q^4+5q^2r^2s+r^4s^2)[/tex]

That's it, so fill it in however you need to on your end. Learn the patterns for the sum and difference of cubes and it will save you a ton of headaches...promise!!

Answer:  D) CPCTC

Step-by-step explanation:

step 6 proves the triangles are congruent.

step 7 states that if the triangles are congruent, then parts of the triangle are congruent.

Congruent Parts of Congruent Triangles are Congruent (CPCTC)

The correct answer should be D.

Answer:

12 gallons per hour

Step-by-step explanation:

Given the following :

Start time of flight = 9:30 a.m

Arrival time of flight = 1:45p.m

Gallons of gas used during duration of flight = 51 gallons

Number of hours spent during flight:

Arrival time - start time

1:45 pm - 9:30 am = 4hours and 15minutes

4hours 15minutes = 4.25hours

If 4.25hours requires 51 gallons of gas;

Then 1 hour will require ( 51 / 4.25)gallons

= 51 / 4.25

= 12 gallons

Answer:

Third option is the correct answer (1/2 = e^{2k})

Step-by-step explanation:

Since, N =1/2 Nt

Therefore, 2N = Nt.... (1)

We are given that:

N= Nt e^{kt}

N = 2N e^{2k} (since, 2N =Nt and t =2)

N/2N = e^{2k}

1/2 = e^{2k}

Answer: (1.5,-3) and (4.5, -3)

Step-by-step explanation:

The dilation rule to dilate a point (x,y) by a scaler factor of  k is given by :0

[tex](x,y)\to (kx,ky)[/tex]

Given: A Line Segment has the points (1,-2), and (3,-2).

Scale factor = 1.5

Then, the new points after dilation will be :

[tex](1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)[/tex]

[tex](3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)[/tex]

Hence, the  new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)

Answer:

[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]

Step-by-step explanation:

The interior angle of a regular heptagon = = 900/7° = 128.57°

Therefore, angle DAB = 128.57°

The interior angle of the square = 90°

Therefore, angle DAC = 90°

Therefore, we have

angle DAB+ angle DAC + angle BAC = 360° (sum of angles at a point (A))

Angle BAC = 360° - angle DAB - angle DAC =  360° - 900/7° - 90° = 990/7°

Angle BAC = 141.43°

Expressing 141.43° as a common fraction gives;

[tex]141.43 ^{\circ}= \dfrac{990}{7} ^{\circ}=141\frac{3}{7} ^{\circ}[/tex]

[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]

 The degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex]

Given, A square and a regular heptagon are coplanar as shown in below figure attached.

We have find the exterior angle of BAC.

We know that, The formula that gives the interior angle measure for a regular polygon with any number of sides is,

[tex]\frac{180(n-2)}{n}[/tex]  where n is the number of sides.  

Since the heptagon has 7 no. of sides.

So regular heptagon's interior angle measures,

[tex]\frac{180(7-2)}{7}=128\frac{4}{7}[/tex]

Hence [tex]\angle A[/tex] will be[tex]128\frac{4}{7}[/tex] degrees.

We know that a square's interior angle is 90 degrees and a heptagon's interior angle is  128.57 degrees. We will subtract those from 360 degrees to find angle BAC.

[tex]\angle BAC = 360 - (\angle A + 90)\\[/tex]

[tex]\angle BAC = 360 - (128\frac{4}{7} + 90)\\\angle BAC=141\frac{3}{7} ^\circ[/tex]

Hence the degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex].

For more details on Exterior angle follow the link:

https://brainly.com/question/2125016            

Answer:

56

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{35+20}{20}[/tex] = [tex]\frac{32+?}{32}[/tex] ( cross- multiply )

20(32 + ?) = 1760 ( divide both sides by 20 )

32 + ? = 88 ( subtract 32 from both sides )

? = 56

Answer:

[tex]\boxed{56}[/tex]

Step-by-step explanation:

We can use ratios to solve since the triangles are similar.

[tex]\frac{20}{32} =\frac{35}{x}[/tex]

Cross multiplication.

[tex]20x=35 \times 32[/tex]

Divide both sides by 20.

[tex]\frac{20x}{20} = \frac{35 \times 32}{20}[/tex]

[tex]x=56[/tex]

Answer: The answer is spinner B. There are 8 sections on the spinner and 4 of them have letter A, so P(A)= 1/2.

Answer:

spinner B

Step-by-step explanation:

there's 8 sides to the spinner and half of them have A on it.

Answer:

11.2 ounces

Step-by-step explanation:

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

Answer: Graph is shown in the attached image below

This is a V shaped graph with the vertex at (3,0). The V opens upward

Explanation:

The equation y = |x-3| is the result of shifting the parent function y = |x| three units to the right. The vertex moves from (0,0) to (3,0). The "x-3" portion moves the xy axis three units to the left. If we held the V shape in place while the xy axis moved like this, then it gives the illusion the V shape moved 3 spots to the right.

Side note: the equation y = |x-3| is composed of two linear functions y = x-3 and y = -x+3. The value of x will determine which gets graphed. When x < 3, then we'll graph y = -x+3; otherwise we graph y = x-3. This is known as a piecewise function.

Using the factor theorem, we have

[tex]7x^2+x-5=7(x-a)(x-b)[/tex]

and expanding gives us

[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]

So we have

[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]

The correct answer is D. [tex]72 \pi[/tex] [tex]units^{2}[/tex]

Explanation:

The surface area refers to the sum of the area of all sides in a 3D shape such as a cube or cylinder. Additionally, the formula used to calculate the surface area varies with the shape. In the case of cylinders, the general formula is [tex]A = 2\pi r h + 2\pi r^{2}[/tex]. Moreover in this, the r represents the radius (measure from the center of a circle to any side), while the h represents height. Below, all the process is shown:

[tex]A = 2\pi r h + 2\pi r^{2}[/tex]

[tex]A = 2\pi (8 x 3) + 2\pi 8^{2}[/tex]

[tex]A = 2\pi 24 + 2\pi 64[/tex]

[tex]A = 48\pi + 128\pi[/tex]

[tex]A = 176\pi[/tex]

In this point, you have the answer without solving [tex]\pi[/tex] (3.1416). This makes option A the correct answer.

Answer:

12 gallons

Step-by-step explanation:

Given the following :

Total amount of gas used by aircraft = 51 gallons

Flight departure time = 9:30 a.m

Arrival time of flight = 1:45p.m

Number of hours traveled by flight:

Arrival time - Departure time

1:45pm - 9:30a.m = 4hrs 15 minutes = [(60*4)+15] minutes = 240 + 15 = 255 minutes

Amount of gallons used per hour :

255 minutes = 51 gallons

I minutes = x

255x = 51 gallons

x = 51 / 255

x = 0.2 gallons

0.2 gallons per minute

1 hour = 60 minutes

Number of gallons per hour = (0.2 * 60) = 12 gallons

Answer:

The first one is −4   <= x   < 4

This second one is −2   <= y  < 5