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kiruha [24]
3 years ago
8

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:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{4x + 16}{6}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                           \displaystyle \frac{4(x + 4)}{6}
  2. [Fraction] Reduce:                                                                                          \displaystyle \frac{2(x + 4)}{3}
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
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