Find the slope and the y-intercept of the line.
Y= -5/4x + 7

Answer:

2√(17) or about 8.2462 units.

Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}[/tex]

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Answer :-

[tex] \rule{200pt}{3pt}[/tex]

Solution :-

As per the provided information in the given question, we have been given that:

To calculate the distance between the two points, we will apply the formula below:

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \: \: }}[/tex]

Substitute the given values into the above formula and solve for d:

[tex]\sf:\implies{ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{[-8 - (-10)]^2 + [1 - (-7)]^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{(2)^2 + (8)^2}}[/tex]

[tex]\sf:\implies{d = \sqrt{4 + 64}}[/tex]

[tex]\sf:\implies\bold{d = \sqrt{68} \approx 8.2462 \: units}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the distance formula at https://brainly.com/question/25841655

Have a great day! <33

Answer:

Answer: KL is 10

Step-by-step explanation:

JL = JK + KL

first get value of x:

[tex]26 = (8x + 8) + (3x + 7) \\ 26 = (8x + 3x) + (8 + 7) \\ 26 = 11x + 15 \\ 11x = 26 - 15 \\ 11x = 11 \\ x = 1[/tex]

therefore,

[tex]KL = 3x + 7 \\ = (3 \times 1) + 7 \\ = 3 + 7 \\ = 10[/tex]

Answer:

x: -2

f(x): 1.5

x: 0

f(x): 0.5

x: 3

f(x): -1

Step-by-step explanation:

Answer:

3/2, 1/2, - 1

Step-by-step explanation:

x + 2y = 1 --> this is 'f(x)'. Sub in the each x-value to the equations.

First part:

x = -2

x + 2y = 1

-2 + 2y = 1

2y = 3

y = 3/2

Second part:

x = 0

x + 2y = 1

0 + 2y = 1

2y = 1

y = 1/2

Third part:

x = 3

x + 2y = 1

3 + 2y = 1

2y = -2

y = -2/2

y = - 1

Answer:

-6 and 1

Step-by-step explanation:

-6*1=-6

-6+1=-5

Answer:

Step-b2

0.20

3

0.25

4

0.45

5

0.10

y-step explanation:

Answer:

6.75 minutes / mile.

Step-by-step explanation:

Time: 13.5 minutes

distance: 2 miles

rate: ?

You want the units to be minutes / mile. That's not the usual units for a rate. You have to be careful how you set this up.

13.5 minutes

2 miles

13.5 /2 = 6.75 minutes / mile = 6 minutes 45 seconds / mile

Answer:

A solid is a form of matter characterized by a particular shape that also has volume. A liquid, on the other hand, has volume but no exact shape, taking the shape of its container. The molecules in solid matter are compressed as its molecules are closely bound together and can only vibrate.

Answer:

12/11

Step-by-step explanation:

11/11=1

1/11=1/11

11/11+1/11=12/11

[tex]1\frac{1}{11}[/tex]  rewritten as a single fraction is 12/11

[tex]1\frac{1}{11}[/tex] is a mixed fraction.

A fraction is a number that is made up of a numerator and a denominator.

A mixed fraction is made up of a whole number and a proper fraction. A proper fraction is a fraction that is made up of a numerator that is less than a denominator.

For example, [tex]\frac{1}{11}[/tex] is a proper fraction. The numerataor,1, is less than the denominator, 11.

We are to convert the mixed fraction to an improper fraction. An improper fraction is a fraction that its numerator is greater than the denominator.

In order to convert to an improper fraction, take these steps

A similar question was answered here: https://brainly.com/question/14549871?referrer=searchResults

Solution is in attachment !!

[tex] \boxed{ \boxed{6 {x}^{3} + 19x + 2x + 5 }}[/tex]

Answer:

a. [tex]6x^{3}+19x^{2}+12x+5[/tex]

Step-by-step explanation:

[tex](2x+5)(3x^{2} +2x+1)\\\\6x^{3}+4x^{2}+2x+15x^{2}+10x+5=\\\\6x^{3}+19x^{2}+12x+5[/tex]

Answer:

dmytjlzjtzlyxluxuclliflfuludld7ulydyddy

9514 1404 393

Answer:

  x = -20

Step-by-step explanation:

First, simplify the equation. Eliminate parentheses and combine terms.

  3(x -1) -8 = 4(1 +x) +5 . . . . . . . given

  3x -3 -8 = 4 +4x +5 . . . . . . . . eliminate parentheses (distributive property)

  3x -11 = 4x +9 . . . . . . . . . . . . combine like terms

We can put all the x-terms on the right by subtracting 3x from both sides.

  3x -11 -3x = 4x +9 -3x

  -11 = x +9

And we can get the x-term by itself by subtracting 9 from both sides.

  -11 -9 = x +9 -9

  -20 = x . . . . . . . . . . this is the solution

__

Check

3(-20 -1) -8 = 4(1 -20) +5

3(-21) -8 = 4(-19) +5

-63 -8 = -76 +5

-71 = -71 . . . . . . . . . true, the answer checks OK

_____

Additional comment

We observe that the two x-terms are 3x and 4x. The smaller of these is 3x, so when we subtract that from 4x we will have a positive result. That is why we chose to subtract 3x, even though it leaves the x-term on the right side of the equation. We could have subtracted 4x to get -x -11 = 9. I find it easier not to make a mistake if the variable has a positive coefficient.

Answer:

252 Inches cube

Step-by-step explanation:

So for this question you need to find the area of cross section which is the H,

2 Times (3 Inches by 7 Inches) {The 2 same shape}

+

3 Inches by 7 Inches {The middle shape}

For the H Shape = 63 Inches Square

Then you'll time the lenght which is given 4 Inches

63 Inches square ×4 Inches

252 Inches Cube

The volume of this shape will be 252 Inches cube

Hope this helps dont hesitate to ask any question!!

Mark me as brainliest aslo appreciated!! Tq

Answer:

The time passed between 8:15 to 2:30 is 6 hours 15 minutes.

Answer:

10

Step-by-step explanation:

So you start with

0.10x+0.25(24-x)=4.50

First you do the parenthesis

.25x24 is 6.

So

.10x+6-.25x=4.5

Combine like terms

-.15x+6=4.5

Now isolate the x so you can find what x is

4.5-6

-.15x=-1.5

Then divide

-1.5/-.15

The two negatives make it positive

So 1.5/0.15

Comes to 10.

x=10

The 10 comes like this .15 is 15/100

Simplify that to 3/20

1.5 is 15/10

Simplify that to 3/2

Then divide those

3/2 ÷ 3/20

You cant divide fractions so flip the other side and multiply

3/2 × 20/3

60/6

10

Hope this helps

Answer:

x = 10

Step-by-step explanation:

[tex]0.10x + 0.25(24 - x) = 4.50[/tex]

[tex]0.1x + 6 - 0.25x = 4.5[/tex]

[tex] - 0.15x + 6 = 4.5[/tex]

[tex] - 0.15x = - 1.5[/tex]

[tex]x = 10[/tex]

Answer:

The values of the trigonometric functions of t

[tex]$\sin t=-\frac{\sqrt{3} }{2}[/tex]

[tex]\cos t=\frac{1}{2},[/tex]

[tex]\tan t=-\sqrt{3}[/tex]

[tex]$\csc t-\frac{2}{\sqrt{3} }[/tex]

[tex]\sec t=2[/tex]

[tex]\cot t=\frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Given:

[tex]\sec(t)=2[/tex]

The terminal point of [tex]t[/tex] is in Quadrant [tex]IV[/tex]

Step 1:  

To find the values of trigonometric functions of t

[tex]\sec(t)=\frac{H}{A}[/tex]

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

Analyze the figure and find the value of O

[tex]t[/tex] ∈ [tex]IV[/tex]

[tex]O=\sqrt{2^{2}-1^{2} }[/tex]

[tex]=\sqrt{4-1}[/tex]

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

Step 2:

[tex]$\sin t=-\frac{O}{H}[/tex]

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

[tex]\cos t=\frac{A}{H}[/tex]

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

[tex]\tan t=-\frac{O}{A}[/tex]

[tex]=-\sqrt{3}[/tex]

[tex]$\csc t=-\frac{H}{O}[/tex]

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

[tex]\sec t=\frac{H}{A}[/tex]

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

[tex]\cot t=-\frac{A}{O}[/tex]

[tex]=\frac{1}{\sqrt{3} }[/tex]

Learn more about trigonometry functions, refer:

The radius r = 3 in

Area of circle = πr² = 3.14*3*3= 28.26 in²

Answer:

-6, -7, and -8

Step-by-step explanation:

Pretty simple, just count to the negatives.

Answer:

the integer is a possible coordinate plane

Step-by-step explanation:

.

Answer:

x = 5

Step-by-step explanation:

4(x - 3) = 8

=> x - 3 = 8/4

=> x - 3 = 2

=> x = 2 + 3

=> x = 5

Answer:

7 - 2 = 5

Step-by-step explanation:

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Fun Fact: The hagfish is the only animal that has a skull but no spine.

Answer:

Modeling with Linear Equations

In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called

Answer:

Modeling with Linear Equations

In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called

Step-by-step explanation:

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Answer:

tyrr

Step-by-step explanation:

g

The equation to represent the given phrase is 2p-4=-12.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "Negative twelve is four less than twice a number, p."

Here, four less than twice a number, p is

2p-4

The difference is equal to -12.

Now, 2p-4=-12

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, transpose -4 to the other side of an equation, we get

2p=-12+4

2p=-8

p=-2

Therefore, the value of p is -2.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

4 + 2 · 3² = 4 + 2 · 9 = 4 + 18 = 22

22 : 2 = 11

Answer → A)

Answer:

$367.5

Step-by-step explanation:

$350 × 0.05% = $17.5

$350 + $17.5 = $367.5

Answer:

Step-by-step explanation:

Keep in mind we read graphs from left to right just like how we read and write.

We can use those tips to solve the problem.

Option A:

4/5 is a positive slope so it will rise from left to right.

Option B:

No slope automatically means "undefined" so that falls in the definition of a vertical line.

Option C:

A slope of 0 is defined as a horizontal line.

Option D:

-4/5 is a negative slope so it will fall from left to right.

Best of Luck!

Answer:

here u go

Step-by-step explanation:

ur answer is 21