Which expression is equivalent to -x² + 5x + 94 = 13?
A.(x + 7)(x + 12) = 13
C.(x – 12)(x – 7) = 13
b. (x - 12)(x + 7) = 3
d. -(x - 7)(x + 12) = 3

Answer: t=-3h+25

Step-by-step explanation:

t=-3h+25

25 degrees is a constant-- it never changes, no matter how many hours goes by. So, you don't multiply a variable with it.

The temperature drops every 3 hours-- this is not constant, since it's dependent on the number of hours that passes. So, use a variable here. Since the temperature drops every three hours, it's -3, and not 3.

Answer:

[tex]t=-3h+25[/tex]

Step-by-step explanation:

If we know that when [tex]h=0[/tex], [tex]t=25[/tex], then we can use a direct proportion equation ([tex]x=ky[/tex]). The temperature decreases every hour by 3 degrees. However, we know that before any temperature drop, the temperature was 25 degrees. All together, this gives us [tex]t=-3h+25[/tex], where [tex]-3h[/tex] is the temperature drop each hour, and [tex]25[/tex] is the starting temperature. Hope that explained things :)

Answer:

221.87 feet

Step-by-step explanation:

Given that,

A 525 ft cable runs from the top of an antenna to the ground.

The angle of elevation made by the ground to the top of an antena 25°

We need to find the height of the antenna.

Using trigonometry,

Hypotenuse, H = 525 ft

θ = 25°

So,

[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft[/tex]

So, the height of the antenna is equal to 221.87 feet.

Answer:

y = 5x - 13

Step-by-step explanation:

point slope form: y - y1 = m (x - x1)

plug in: y1 = -3,  x1 = 2,  m = 5

y - (-3) = 5 (x - 2)

y + 3 = 5x - 10                                     <- simplify and expand

y = 5x - 13                                    <answer for slope intercept

equation: y = 5x - 13

I'm not sure what equation type you would like as well as your possible answer choices, but I hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

y = x

Step-by-step explanation:

i took two points which are very close to the trend line - (3,3) and (5,5) - to get the slope

the slope is 2/2 or 1 and the y-intercept is zero

this means the trend line is 'y = x'

Answer: The value of x can be either 5 or 10.

Step-by-step explanation:

We are given:

Total profit, P = $5600

The given equation follows:

⇒ P = 600 + 1500x - 100x²

Putting value of P in above equation, we get:

⇒ -100x² + 1500x + 600 = 5600

⇒ -100x² + 1500x - 5000 = 0

⇒ 100x² - 1500x + 5000 = 0

Solving this equation by middle term split, we get:

⇒ 100(x² - 15x + 50) = 0

⇒ (x² - 10x - 5x + 50) = 0

⇒ x(x - 10) - 5(x -10) = 0

⇒ (x - 10)(x - 5) = 0

⇒ x = 10, 5

Hence, the value of x can be either 5 or 10.

Answer:

3.391, 3.913, 3.931

Step-by-step explanation:

Hope i could help :)

Answer:

7mm:10mm

Step-by-step explanation:

1cm =10mm

so 7:10

10/3 = k/9

10 x 9 = 3 x k

90 = 3 k

k = 90/3

k = 30

Answer:

6 w

Explanation:

Question: "What is the GCF of 30, 42, and 12?

You may ask, "How did you get the answer?"

1) Let's list out the factors of 30, 42, and 12.

30 - 1, 2, 3, 5, 6, 10, 15, 30

42 - 1, 2, 3, 6, 7, 14, 21, 42

12 - 1, 2, 3, 4, 6, 12

What are the common numbers from the list?

1, 2, 3, 6

What is the greatest number from the list of the common numbers?

6

Now let's separate the variables and find the common factor of the variables.

Variables:  

w 2 ,  w 4 ,  w * w

can also be thought of as  w 1 .

Since  

w

is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is  

w .

Answer:

6

Step-by-step explanation: You may ask, "How did you get the answer?"

1) Let's list out the factors of 30, 42, and 12.

30 - 1, 2, 3, 5, 6, 10, 15, 30

42 - 1, 2, 3, 6, 7, 14, 21, 42

12 - 1, 2, 3, 4, 6, 12

What are the common numbers from the list?

1, 2, 3, 6

What is the greatest number from the list of the common numbers?

6

Now let's separate the variables and find the common factor of the variables.

Variables: w2 , w4, w*w can also be thought of as w1.

Since w is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is

w.

Let's combine what we've found out now!

The GCF of the integers is 6 and the common factor of the variables is

w

. Therefore, the GCF is 6w!

Answer:

4.93 cm 475.9 mm 4.5 m 47.3 m

Step-by-step explanation:

mmmmmmmmmmmmmmmmmmmmmmm

Answer:

A = 50.26 sq meters

Step-by-step explanation:

we have to find the diameter first by using the circumference:

C = πd

25.12 = πd

25.12/π = d

8 = d

this means the radius is 4

A = πr²

A = π4² or 16π

A = 50.26 sq meters

Answer:

navel piercing.

Or

belly button piercing

Or

an umbilical dip piercing

Answer: 25

Step-by-step explanation:

Answer:

456

Step-by-step explanation:...

Answer: Aleah i think the answer is g

Step-by-step explanation:

Answer:

$5,980

Step-by-step explanation:

23% of $1,000 = $230

so, Martha's deductions for a full calendar year =

52/2 × $230 = $5,980

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The missing digit must be less than 5

Answer:

3

Step-by-step explanation:

i believe the missing digit must be less than 5

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4 + 3x + 3x + 14 + 90 = 180 , simplify left side

108 + 6x = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

Then

∠ A = 4 + 3x = 4 + 3(12) = 4 + 36 = 40° → A

Answer:

Step-by-step explanation:

PQ = q-p

PQ = q-p, therefore PS = (2/3)(q-p)

OS = p + (2/3)(q-p) = (2q+p)/3

OR = q + p/2

To make new vectors, chain vectors, follow arrow directions.  

The sum is the line joining the beginning and end points.

If you need to reverse the direction of a vector, simply put a negative sign.

Answer:

1 and 3 on edg

Step-by-step explanation:

The correct statements are YZ = 9 cm and XZ = 9√2

A triangle with one angle equal to 90° is called a right triangle.

Given that, a right triangle XYZ, with acute angles 45°, we need to determine the correct statements regarding the triangles,

Since, the acutes angles are equal, therefore, sides opposite to them will also be equal,

XY = YZ = 9 cm

Using the Pythagoras theorem,

XY² + YZ² = XZ²

XZ² = 9²+9²

XZ = √162

XZ = 9√2

The longest side is always opposite to the largest angle, which is XZ.

Hence, the correct statements are YZ = 9 cm and XZ = 9√2

Learn more about right triangles, click;

https://brainly.com/question/6322314

#SPJ5

Answer:

it is A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

We know that diagonals bisect angles of a rhombus, meaning that they split the angles of two equal parts, that opposite angles are equal, and that the angles of a quadrilateral, such as a rhombus, add up to 360 degrees.

Looking at the drawing I uploaded, and taking into account that diagonals bisect angles of a rhombus, we can say that angle x = y and z = 5x-18

Next, given that opposite angles are equal, we can say that angle B = angle D and angle A = angle C. Therefore,

A+B+C+D= 360 (as the angles of a quadrilateral add up to 360)

A + B + A + B = 360 (plugging in A for C and B for D)

2 ( A + B) = 360

A + B = 180

x + y + z + 5x - 18 = 180 (plugging x+y in for A, and z+5x-18 in for B, as x and y make up A and z and 5x-18 make up B)

x+x+5x-18+5x-18 = 180 (because x=y and z=5x-18)

2(x+5x-18) = 180

divide both sides by 2

x+5x-18=90

6x-18=90

add 18 to both sides

6x=108

divide both sides by 6

x = 18

[tex]\longrightarrow{\green{ \: - 3 \: (b - ac)}}[/tex] 

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[tex] \: - 7b - 9ac + 4b + 12ac[/tex]

➼[tex] \: - 7b + 4b - 9ac + 12ac[/tex]

➼[tex] \: - 3b + 3ac[/tex]

➼[tex] \: - 3 \: (b - ac)[/tex]

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