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Brrunno [24]
3 years ago
14

Factor using ac-method,  15y+6y²-21= ________

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
15y+6y^2-21=\\
6y^2+15y-21=\\
3(2y^2+5y-7)=\\
3(2y^2-2y+7y-7)=\\
3(2y(y-1)+7(y-1))=\\
3(2y+7)(y-1)

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What is the permeter of square ABCD?
marshall27 [118]

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=\sqrt{(y1 - y2)^{2} + (x1 - x2)^{2}  }

Length of AB

=  \sqrt{( { - 2 - 4)}^{2}  +  {(2 - 3)}^{2} }  \\  =  \sqrt{( - 6)^{2}  + (  - 1)^{2} }  \\  =  \sqrt{37}

perimeter of ABCD

= 4 \sqrt{37}  \\  = 24.3 \: units \: (3 \: s.f.)

7 0
2 years ago
Complete the set of ordered pairs for the relation.
Nonamiya [84]

The set of ordered pairs are (-2,18),(-1,20),(0,22),(1,24),(2,26)

Step-by-step explanation:

Given that the relation \{(x, y): y=2(x+11) \text { and } x \in(-2,-1,0,1,2)\}

To find the set of ordered pairs, let us substitute the value for x in the relation y=2(x+11)

For x=-2,

\begin{aligned}y &=2(-2+11) \\&=2(9) \\y &=18\end{aligned}

The ordered pair is (-2,18)

For x=-1,

\begin{aligned}y &=2(-1+11) \\&=2(10) \\y &=20\end{aligned}

The ordered pair is (-1,20)

For x=0,

\begin{aligned}y &=2(0+11) \\&=2(11) \\y &=22\end{aligned}

The ordered pair is (0,22)

For x=1,

\begin{aligned}y &=2(1+11) \\&=2(12) \\y &=24\end{aligned}

The ordered pair is (1,24)

For x=2,

\begin{aligned}y &=2(2+11) \\&=2(13) \\y &=26\end{aligned}

The ordered pair is (2,26)

Thus, the set of ordered pairs is (-2,18),(-1,20),(0,22),(1,24),(2,26)

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3 years ago
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2 years ago
A rectangular prism with a volume of 44 cubic units is filled with cubes with side lengths of 1/3 unit How many 1/3 unit cubes d
pickupchik [31]

Check the picture below.

so the volume of the smaller cube will just be (1/3)³.

how many of those cubes will take to fill up the larger cube?

namely

how many times does (1/3)³ go into 44?

\bf \left( \cfrac{1}{3} \right)^3\implies \cfrac{1^3}{3^3}\implies \cfrac{1}{27}\impliedby \textit{volume of the smaller cube} \\\\\\ 44\div \cfrac{1}{27}\implies \cfrac{44}{1}\div \cfrac{1}{27}\implies \cfrac{44}{1}\cdot \cfrac{27}{1}\implies 1188

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3 years ago
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