solve for
1) a
2) f
3) e​

Answer:

[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]

Answer:

The dependent variable is the amount of money he received for birthday.

Step-by-step explanation:

After his birthday, Benjamin has decided to donate a third of the money he received as a gift from his relatives to a foundation. Considering the variables amount of money received by Benjamin and amount of money that Benjamin will donate. to. What is the dependent variable in this situation.

Here, the money he received for the birthday is x.

So, he donated x/3.

The variable is the money which he gets, so the dependent variable is amount of money he received for the birthday.

Answer:

(a)

[tex]3 \sqrt{5} [/tex]

(b)

[tex] \frac{6}{ \sqrt{5} } [/tex]

Step-by-step explanation:

A(-3,0)

B(0,6)

[tex]d = \sqrt{{( - 3 - 0)}^{2} + {(0 - 6)}^{2} } = \sqrt{9 + 36} = 3 \sqrt{5} [/tex]

[tex]d = \frac{ax0 + by0 + c}{ \sqrt{ {a}^{2} + {b}^{2} } } [/tex]

2x-y+6=0

a=2, b=-1, c=6

x0=0, y0=0

[tex]d = \frac{6}{ \sqrt{4 + 1} } = \frac{6}{ \sqrt{5} } [/tex]

Answer:

52

Step-by-step explanation:

First, find x. As BE and DE will have the same measurements, you can set your formula up as

5x+11=3x+17

5x=3x+17-11

5x-2x=6

2x=6

x=6/2

x=3

CE and AE will also have the same value, now substitute 3 in place of x to get the value of segment BE

5x+11

5*3+11 = 26

This also means that CE = 26 and AE = 26

AC = CE + AE

AC = 52

Answer:

D

Step-by-step explanation:

because 3x - 12y = 15 has only numbers that are divisible by 3 leaving just one single x term, and the other terms simply reduce their used numbers to still integer numbers (4 and 5).

this makes it easier to be used in the other equation.

Answer:

There are 0 solutions

Step-by-step explanation:

9(×-4)=9×-33

9×-36=9×-33

9×-9×-36=-33

-36=-33 and it's impossible

so there's 0 solutions

Answer:

Step-by-step explanation:

x is greater than minus 3. You have everything right but the graph. The arrowhead goes the other way. Around -3 is as small as x gets.

0====0====0====0====0

-3       -2      -1        O       1

O------------------------------->

Answer:

1). 6x - 14    2). y = 1x + 1       3). y = -4x + 22     4).y = -7/2x + 51/2

Step-by-step explanation:

1). y2 - y1 / x2 - x1      4 - (-2) / 3-2         = 6

y = 6x + b           4 = 6(3) + b      4 = 18 + b        -14 = b

y = 6x - 14

2). 2 - (-2) / 1 - (-3)      = 1

y = 1x + b        2 = 1(1) + b     2 = 1 + b    1 = b

y = 1x + 1

3).  2 - 6 / 5 - 4      = -4

y = -4x + b      6 = -4(4) + b      6 = -16 + b       22 = b

y = -4x + 22

4). 1 - 8 / 7 - 5      = -7/2

y = -7/2x + 51/2

Answer: 171.5

Step-by-step explanation:

1/2 x 7 x 7 x7  = 171.5 cm3

Answer:

[tex]volume=1/3(area ~of ~base) \times( height)[/tex]

[tex]v=1/3(7\times7)\times7[/tex]

[tex]v=343/3[/tex]

[tex]v=114[/tex]

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

hope it helps...

have a great day!!

Answer:

b ≈ 48.6°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin b = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{12}[/tex] , then

b = [tex]sin^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 48.6° ( to 1 dec. place )

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Please find the graph file in the attachment.

In this question, the Alternate Interior Angles are being used by the angles created mostly by the intersecting intersection of two parallel or non-parallel lines. Its angles were located at the upper lid and lay opposite to a cross-section. Its angles are diagonal throughout the transverse and inside the parallel lines. Angles <3 and <6 are hence interiors which are alternating. Alternative insides are <4 and <5.

Answer:

(a) 525 g

Since they're proportional to each other:

[tex]\frac{20cm^{3} }{210g} =\frac{50cm^{3} }{Xg}[/tex]

Cross-multiply & solve:

[tex]20x=210*50\\20x=10500\\x=\frac{10500}{20} =525[/tex]

(b) 38 cm^3

Same thing, different numbers:

[tex]\frac{20cm^{3} }{210g} =\frac{Xcm^{3} }{399g}[/tex]

Cross-multiply & solve:

[tex]210x=20*399\\210x=7980\\x=\frac{7980}{210} =38[/tex]

Answer:

it is not a deficiency, a measurement of above 60 inches is required for mon tempered glass, and given that the measurement is 63 inches, it is within the acceptable limits

Step-by-step explanation:

Tempered glass are tough glasses that are strong and do not normally break easily, tempered glass is required where the bottom edge is less than 5 feet or 60 inches above the bath the hath tub, so as to reduce the chance of the window being broken by the elbow while showering, and glasses lower than 60 inches are considered as being at risk of breaking, and should be made of tempered glass

Given that the measurement is 63 inches, the glass is not at risk and the 63 inches measurement for the given non tempered glass is not a deficiency

Answer:

2 or 8

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

Given the following number;

183184

Taking the square root, we have;

√183184 = 428

Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.

Step-by-step explanation:

hope it helps you..........

Answer:

[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

Answer:

0.50=1.7. They do not equal each other

Step-by-step explanation:

Thats what I got from this question

Step-by-step explanation:

hope it helps thank you❤

Answer:

Normal distribution

Step-by-step explanation:

The answer is "normal distribution". This is because in a normal distribution, the mean, median and mode are equal. What this means is that the distribution will be symmetrical with a bell curve unlike in positive or negative skew where it is skewed to either the left or right.

Answer:

Step-by-step explanation:

The Midpoint formula is

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] where all of those x's and y's come from the coordinates of points L and M. Filling in:

[tex]M=(\frac{8+10}{2},\frac{4+14}{2}) =(\frac{18}{2}, \frac{18}{2})=(9,9)[/tex]

Answer:

I hope the pic i gave is helpful!!!

Answer:

B

Step-by-step explanation:

This is literlly the same question I had 2 minutes ago

Answer:

Haley simplified correctly

Step-by-step explanation:

According to indices rule, if we have the same base and we are to multiply two numbers raised to exponent, we are to add the powers on the bases

So, it is expected that;

x^3 * x^2 = x*(3 + 2) = x^5

However, x^3 + x^2 stays the same (but of course can only be factorised)

So we can conclude that only Haley’s answer is correct

Answer:

The answer is 4

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

[tex]m\angle A= 30^{\circ}[/tex]

Step-by-step explanation:

In the question, we're given [tex]\angle A\cong \angle D[/tex]. Therefore, the measure of these two angles must be equal.

To find the value of [tex]x[/tex], set these two angles equal to each other:

[tex]4x-26=x+16[/tex]

Add 26 and subtract [tex]x[/tex] from both sides:

[tex]3x=42[/tex]

Divide both sides by 3:

[tex]x=\frac{42}{3}=14[/tex]

Since [tex]\angle A[/tex] was labelled as [tex]4x-26[/tex], substitute [tex]x=14[/tex] to find its measure:

[tex]\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}[/tex]

You can also substitute [tex]x=14[/tex] into the label of angle D as angle A is congruent to angle D for easier calculations ([tex]14+16=\boxed{30^{\circ}}[/tex]).

The slope intercept form of the line is ,

> y = mx + c

where ,

Example :-

> y = 2x + 5

Answer:

313 ft

Step-by-step explanation:

It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120

The distance from point A to point B is given by the trigonometric relations and d = 313 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the first triangle be represented as ΔAOD

Let the second triangle be represented as ΔBOD

where the distance from point A to point B = d

And , Riley is watching from a vertical distance of 120 feet above the water

Riley measures an angle of depression to the boat at point A to be 18 degrees

Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees

So , ∠BOD = 25° and ∠AOD = 72°

From the trigonometric relations ,

tan θ = opposite / adjacent

tan AOD = AD / OD = tan 72°

tan 72° = 3.087

tan BOD = tan 25° = 0.47

Now , the measure of AD = 120 x 3.087 = 369.6 feet

And , the measure of BD = 120 x 0.74 = 56.4 feet

Therefore , the distance from A to B = 369.6 feet - 56.4 feet

d = 313 feet

Hence , the distance is 313 feet

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2