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4 years ago

I suck at this, does anyone know?

Mathematics

1 answer:

Helga [31]4 years ago

3 0

For a 2x2 matrix, the determinant is the absolute value of ad-bc
in this case, a=4, b=-7, c=3, d=-2
4*(-2)=-8
-7*3=-21
-8-(-21)=13
so the answer is D

refer to this website for details:
https://www.mathsisfun.com/algebra/matrix-determinant.html

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SOS if anyone could help that would be appreciated!!!❤️

Anastaziya [24]

Answer:

See below

Step-by-step explanation:

$2e)15-4x=10x+45$

Solve:

$15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}$ $3(x+1)=21$

Check:

$15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45$

$15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45$

$\dfrac{210}{7} =30$

$30=30$

$3a) 3(x+1)=21$

Solve:

$3(x+1)=21\\3x+3=21\\3x=18\\x=6$

$3b) 2+3(x+1)=6x$

$2+3x+3=6x\\5=3x\\$

$x=\dfrac{5}{3}$

$3c) -2(2x-3)=-2$

Solve:

$-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2$

3 0

3 years ago

Dana loves rocks! She has 666 pieces of granite, 333 pieces of marble, 141414 pieces of sandstone, and 111 piece of slate. What

Lilit [14]

Answer: $14:3$

Step-by-step explanation:

<h3> The exercise is:</h3><h3> "Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?"</h3><h3></h3><h3> </h3>

You can use ratio to compare values.

By definition, ratios can be written in the following form:

$a:b$

In this case, you know that the number of pieces of different rocks that Diana has in her collections, are:

$granite=6\ pieces\\\\marble=3\ pieces\\\\sandstone=14\ pieces\\\\slate=1\ piece$

Since you must compare the number of pieces of sandstone and the number of pieces of marble in Dana's collection, you need to write the following ratio:

$sandstone:marble\\\\14:3$