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3 years ago

WILL GIVE FIRST ANSWER BRAINLIEST

Mathematics

2 answers:

koban [17]3 years ago

6 0

Answer: The correct option is (D) (5, -2).

Step-by-step explanation: We are given to use the method of substitution to solve the following system of equations :

$3x+7y=1~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Substituting the value of y from equation (ii) in equation (i), we get

$3x+7y=1\\\\\Rightarrow 3x+7(x-7)=1\\\\\Rightarrow 3x+7x-49=1\\\\\Rightarrow 10x=50\\\\\Rightarrow x=\dfrac{50}{10}\\\\\Rightarrow x=5,$

and from equation (ii) again, we get

$y=x-7=5-7=-2.$

Thus, the required solution is (x, y) = (5, -2).

Option (D) is CORRECT.

DedPeter [7]3 years ago

4 0

My answer is D.(5, -2)

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Simplify completely*****

san4es73 [151]

Answer:

$\displaystyle \frac{2(x + 4)}{3}$

General Formulas and Concepts:

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Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{4x + 16}{6}$

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5 0

2 years ago

The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?

Aleksandr [31]

Answer:

The new pyramid has a volume that is half the volume of the original pyramid.

Step-by-step explanation:

The volume of a pyramid is given by the following equation:

$V = \frac{h*l*w}{3}$

In which h is the height, l is the length and w is the width.

Modified volume:

height doubled, length and width cut in half. So

$h = 2h, l = 0.5l, w = 0.5w$

$V_{M} = \frac{2h*0.5l*0.5l}{3} = \frac{0.5*h*l*w}{3} = 0.5\frac{h*l*w}{3}$ = 0.5V[/tex]

That is

The new pyramid has a volume that is half the volume of the original pyramid.

6 0

3 years ago

Am I right idk could some explain. This to me.

Marysya12 [62]

It is 100 times smaller because 1.95x100=195 !!!

7 0

3 years ago

Given the midpoint and one endpoint of a line segment, find the other endpoint.

lozanna [386]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{\frac{5}{8}}~,~\stackrel{y_1}{\frac{27}{8}})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+\frac{5}{8}}{2}~~,~~\cfrac{y+\frac{27}{8}}{2} \right)=\stackrel{midpoint}{\left( -\frac{7}{6}~~,~~-\frac{10}{3} \right)}$

$\bf -------------------------------\\\\ \cfrac{x+\frac{5}{8}}{2}=-\cfrac{7}{6}\implies x+\cfrac{5}{8}=-\cfrac{14}{6}\implies x=-\cfrac{14}{6}-\cfrac{5}{8} \\\\\\ x=\cfrac{-14(4)-5(3)}{24}\implies x=\cfrac{-56-15}{24}\implies \boxed{x=-\cfrac{71}{24}}\\\\ -------------------------------\\\\ \cfrac{y+\frac{27}{8}}{2}=-\cfrac{10}{3}\implies y+\cfrac{27}{8}=-\cfrac{20}{3}\implies y=-\cfrac{20}{3}-\cfrac{27}{8} \\\\\\ y=\cfrac{-20(8)-27(3)}{24}\implies y=\cfrac{-160-81}{24}\implies \boxed{y=-\cfrac{241}{24}}$

3 0

3 years ago

Using the Distance Formula, calculate the distance between the three points: (3 points)

AlladinOne [14]

The distance formula between two points is d∧2=(x2-x1)∧2 + (y2-y1)∧2

The distance between Vista and Oceanside is

d1∧2=(-1-(-6))∧2+(6-2)∧2=(-1+6)∧2+4∧2=5∧2+16=25+16=41 => d=√41= 6.4

The distance between Oceanside and Alpena is

d2∧2=(0-(-1))∧2+(-1-6)∧2=1+(-7)∧2=1+49=50 => d2=√50=7.07

The distance between Vista and Alpena is

d3∧2=(0-(-6))∧2+(-1-2)∧2=36+9=45 => d3=√45= 6.7

Answer a) is Oceanside and Alpena

Answer b) is Vista and Oceanside

Good luck!!!

4 0

3 years ago

Read 2 more answers