How many solutions does the equation have? 3(7x + 4 ) - 2x + 8 = 5x + 12

Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:

SR ⊥ QT   (given)

QR ⊥ PS  (given)

Comparing Δ PQS and ΔQST, we have:

Points Q and T are equidistant to bisector SR (bisection property of a line)

Points P and S are equidistant from QR (bisection property of a line)

QS is a common side to the triangles

Then,

PS ≅ QT (similar property of triangles)

Thus,

PQ ≅ ST (Side-Side-Side (SSS) property of triangles)

Therefore by Side-Side-Side (SSS) theorem, PQ = ST.

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Answer:i need this pls

Step-by-step explanation:

Answer:

residual is a quantity remaining after other things have been subtracted.

Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.

Step-by-step explanation:

Answer:

where the numbers at???

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Gemdas-this means grouping

exponent, multiplication, Division,addition,

and subtraction order of operations

Sana tama HAHAHAHA

Answer:

6 ft.

Step-by-step explanation:

If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24  so the expression would be 1/4 x 24

im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.

hope this helps :)

Answer:

  A. 1/4×24 ft

  B. 6 ft, the product has no negative factors that would make it negative.

Step-by-step explanation:

1/4 of the elevation of city C can be written as ...

  (1/4)(24 ft)

__

When the expression is simplified, it becomes ...

  6 ft

The product of two positive numbers is positive.

Answer:

g= -2

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

1. open the parentheses: 3(5-g)= 15-3g= 21

2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)

15- 3g= 21  =  -3g= 21- 15

-3g= 6

3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.

Hence, g= -2

Hope this helps!

let me know if t does and if the answer is right.

Answer:

Step-by-step explanation:

Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?​

so 1 apple has 1/10 gram of fat

10 apples = 1 gram of fat

10 * 4 = 40 apples have a total of 4 grams

Answer:

i need help with this one too

Step-by-step explanation:

Answer:

2 inches

Step-by-step explanation:

I hope it helps you!

Answer:

Step-by-step explanation:

The cookie's diameter is 14 cm. How much is the radius?

diameter = 2 * radius

radius = 1/2 diameter

14 : 2 = 7

Answer:

(5,-3)

Step-by-step explanation:

We can substitute the y in the second equation by the first equation:

2x+3(x-8)=1->

2x+3x-24=1 ->

5x-24=1 ->

5x=25 ->

x=5.

Then solve for y in the first equation:

y=5-8 ->

y=-3.

So the first is correct:

(5, -3)

Hope that helps! :)

Answer:

First option: (5,-3)

Step-by-step explanation:

First turn the second equation to slope intercept form (y=mx+b):

Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.

Now you can graph both, and the solution would be the point that intercepts both of these lines.

(Here it is graphed above for you⤴⤴⤴)

Hope this helps :)

Answer:

P is the incorrect answer

Answer:

Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.

Answer:

Yes, the sides would form a right triangle.

Step-by-step explanation:

[tex]99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}[/tex]

Hope this helps.

Answer:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)

There are 3 ways to write the equation of the line:

The easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way

So we'll need to find the slope

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:

[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]

Now substitute these values into the formula. Remember that m is the value of the slope:

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

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

Simplify the fraction:

m=[tex]\frac{-2+6}{2+3}[/tex]

Add the numbers together:

m=[tex]\frac{4}{5}[/tex]

So the slope of the line is 4/5

Let's plug it into the formula y=mx+b, since we now know the value of m

y=[tex]\frac{4}{5}[/tex]x+b

Now let's find b

As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b

Either point works, but let's take (2, -2) for instance

Substitute 2 as x and -2 as y

-2=4/5(2)+b

Multiply

-2=8/5+b

subtract 8/5 from both sides

-18/5=b

Now substitute -18/5 as b into the equation:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Hope this helps!

Answer:

D) -[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.

Answer:

D,_3/2

Step-by-step explanation:

when two lines are perpendicular, m¹=_1/m²

Answer:

  A.  AB, BC, AC

Step-by-step explanation:

The side lengths have the same order (smallest to largest) that their opposite angles have.

Angle B = 180° -50° -63° = 67°

The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.

Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)

Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

Answer:

False

Step-by-step explanation:

AB is equal to DE not DF

AC is equal to DF not EF

Answer:

54 Degrees

Step-by-step explanation:

We know that a triangle has to have 180 degrees in all. we also know that the bottom lines is a straight angle, so 180 degrees.

using this information, we can find n. We know that n+78 is 180, so n=102

We also know that o+102+24=180, so

o=54

Hope this helps!

Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.

The graph is given by option B.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In the context of this problem, the mean and the standard deviation of the scores are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (-1.66 - 0)/1

Z = -1.66

Z = -1.66 has a p-value of 0.0485.

1 - 0.0485 = 0.9515, which is the probability.

The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Answer:

192!!!

Step-by-step explanation:

From the given information, the amount that will be paid averagely each month will be $138.73.

From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.

Therefore, the amount that will be paid each month will be calculated thus:

= $6,659 / 48

= $138.73

The amount will be $138.73.

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Answer:

-[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

     [] Slope is the m in y = mx + b

     [] Slope is found by using rise over run or, in other words, change in y change in x

     [] Since the line is going down from top left to bottom right, the slope is negative

     [] Since it is graphed and we have clear coordinate-points, we can use rise over run. From (0,3) we count 1 down and 2 over to (2, 2) give us a slope of -1/2

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-1/2

Step-by-step explanation

Answer:

  y -5 = 4(x -2)

Step-by-step explanation:

The derivative of the function tells you the slope of the line at the point of tangency.

  f'(x) = 2x

  f'(2) = 4

Then the point-slope equation of the tangent is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)

[tex]\sqrt{x} (-5-(-8))x^{2} +(-5-(-7))x^{2} = 3.x^{2} \sqrt{x} +2x^{2} = x^{2} (3\sqrt{x} +1)[/tex]

ok done. Thank to me :>

Answer:

y = 19.99x + 17.99

(I just did it)

Answer:

Step-by-step explanation:

2