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2 years ago

Anyone understand this? i need help :((

Mathematics

1 answer:

Zinaida [17]2 years ago

5 0

Answer:

(-9,8)

(-2,8)

(-1,8)

(0,8)

(7,8)

hope this helped you :)

Please mark me brainiest

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Pls help me .question no 14

Alex_Xolod [135]

Question 14, Part (i)

Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,

A+B+C+D = 360

A+90+C+90 = 360

A+C+180 = 360

A+C = 360-180

A+C = 180

Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.

==================================================

Question 14, Part (ii)

Let

x = measure of angle 1

y = measure of angle 2

z = measure of angle 3

Back in part (i) above, we showed that y + z = 180

Note that angles 1 and 2 are adjacent to form a straight line, so we can say

x+y = 180

-------

We have the two equations x+y = 180 and y+z = 180 to form this system of equations

$\begin{cases}x+y = 180\\y+z = 180\end{cases}$

Which is really the same as this system

$\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}$

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.

4 0

3 years ago

Need help ASAP! Directions in picture ;)

Len [333]

Answer:

Step-by-step explanation:

Angle 8 will also be 112° because both of them( Angle 2 and Angle 8) are exterior alternate angles and exterior alternate angles are always equal.

So Angle 8 = 112°

6 0

2 years ago

A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

madreJ [45]

Answer:

C = 75.36

A = 452.16

Step-by-step explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

$d = \sqrt{(12-0)^2 + (-1--1)^2} =\sqrt{(12)^2 + (0^2} =\sqrt{144+0} =\sqrt{144}=12$

The radius is 12.

So the circumference of the circle is $C = 2\pi r = 2\pi 12 = 24\pi = 75.36$

So the area of the circle is $A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16$

6 0

3 years ago

Need the a answer for this

FinnZ [79.3K]

Answer:

Given expression:

$\dfrac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}$

Separate the variables:

$\implies \dfrac{14}{8} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

Reduce the first fraction:

$\implies \dfrac{7}{4} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

$\textsf{Apply Division Property of Exponents rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies \dfrac{7}{4} \cdot a^{4-(-2)} \cdot b^{6-3} \cdot c^{-10-(-5)}$

$\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot c^{-5}$

$\textsf{Apply Negative Property of Exponents rule} \quad a^{-n}=\dfrac{1}{a^n}$

$\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot \dfrac{1}{c^5}$

Therefore:

$\implies \dfrac{7a^6b^3}{4c^5}$

4 0

1 year ago

F(x)=3^2-2and g(x) =4x+2 what is the value of (f+g)(2)

morpeh [17]

Step-by-step explanation:

$f(x) = {3}^{2} - 2 = 9 - 2 = 7 \\ g(x) = 4x + 2 \\ \therefore \: (f + g)(x) = 7 + 4x + 2 \\ \therefore \: (f + g)(x) = 4x + 9 \\ \therefore \: (f + g)(2) = 4 \times 2 + 9 \\ \therefore \: (f + g)(2) = 8 + 9 \\ \red{\boxed{ \bold{ \therefore \: (f + g)(2) = 17}}}$

4 0

3 years ago