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3 years ago

Pleaseeeeeeeeee help

Mathematics

1 answer:

Anna35 [415]3 years ago

7 0

Answer:

the answer is 240

Step-by-step explanation:

6x10=60

60x8=480

480÷2=240

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Find the slope of the line through p and q. p(5, −9), q(−5, 6)

kykrilka [37]

Answer: slope = -1,5

Step-by-step explanation:

We can use slope formula to find the slope of a line that passes through two points (x₁ , y₁) and (x₂ , y₂)

m = ∆y/∆x = (y₂ - y₁)/(x₂ - x₁)

Given points are: p(x₁ , y₁) = (5 , −9) and q(x₂ , y₂) = (−5 , 6)

Substituting these two known points in the slope formula, we have:

m = (6-(-9))/(-5-5) = 15/-10 = -1,5

Therefore, the slope of this line = -1,5

Answer: slope = -1,5

<h2>Spymore</h2>

7 0

3 years ago

Find the inverse of the function f(x) = 5/6x +10

UkoKoshka [18]

Answer:

$\displaystyle f^{-1}(x)=\frac{6x-60}{5}$

Step-by-step explanation:

Inverse function

Given the function

$\displaystyle f(x)=\frac{5}{6}x+10$

We find its inverse following the procedure below:

Set y=f(x)

$\displaystyle y=\frac{5}{6}x+10$

Multiply by 6:

$6y=5x+60$

Operate:

$5x=6y-60$

Solve for x:

$\displaystyle x=\frac{6y-60}{5}$

Swap variables:

$\displaystyle y=\frac{6x-60}{5}$

Make the new y the inverse function:

$\boxed{\displaystyle f^{-1}(x)=\frac{6x-60}{5}}$

This is the inverse function

4 0

3 years ago

What are all the factor pairs of 28?

baherus [9]

Answer: All the factor pairs of 28 are:

1, 2, 4, 7, 14, 28

Step-by-step explanation:

We can move from the outsides on opposite sides (->this way<-) and pair the numbers together to make sets of the number that will multiply to make 28

6 0

4 years ago

Evaluate 3⋅(1−21/0−^3)+12 A.−3,012 B. −2,988 C.2,600 D.3,066

SSSSS [86.1K]

I would say C, that's what I got

4 0

3 years ago

A boat travels 8 miles north from point A to point B. Then it moves in the direction S 40°W and reaches point Finally, it turns

uysha [10]

Answer:

B.18. 44 miles

Step-by-step explanation:

We are given that

Distance between A and B=8 miles

Angle B=Angle BCQ=40 degree (Alternate interior angles)

Angle ACB=180-Angle ACP-Angle BCQ

Angle ACB=180-40-40=100 degree

In triangle ABC

Angle A+ Angle B +Angle C=180 degree using sum of angles of triangle property

Substitute the values

$\angle A+40+100=180$

$\angle A+140=180$

$\angle A=180-140$

$\angle A=40$ degree

Angle A=Angle B

When two angles are equal of a triangle then the triangle is isosceles triangle.

Therefore, triangle ABC is an isosceles triangle.

$\implies BC=AC$

Now, Sine law

$\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

Using the sine law

$\frac{BC}{sin 40}=\frac{AB}{sin 100}$

$\frac{BC}{sin 40}=\frac{8}{sin 100}$

$BC=\frac{8\times sin40}{sin 100}$

BC=5.22

AC=BC=5.22 miles

Now, total distance covered by the boat=AB+BC+AC

Total distance covered by the boat=8+5.22+5.22=18.44 miles

Hence, option B is correct.

4 0

3 years ago