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Dominik [7]
3 years ago
6

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. Which terms should

Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x
Mathematics
2 answers:
7nadin3 [17]3 years ago
5 0
4x^2 + x - 5 = 4x^2 + 5x - 4x - 5

Therefore, required solution is 5x and -4x.
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

5x and -4x

Step-by-step explanation:

4x^2 + x - 5

4x^2 + 1x - 5

To find out factors we need to multiply 4 and -5 that is -20

Now product is -20 and sum is +1

We need to find out two factors whose product is -20 and sum is +1

5 times -4 = -20

5 + (-4) = +1

So +1x can be written as +5x - 4x

4x^2 + 1x - 5 can be written as 4x^2+5x - 4x- 5

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Gragh the image of the figure after a dilation with a scale factor of 1/4 centered at (5, -5) please help
svetoff [14.1K]

Answer:

See attached diagram

Step-by-step explanation:

Triangle ABC has vertices A(9,3), B(-7,-5) and C(-3,7).

The dilation with a scale factor of 1/4 centered at (5, -5) has the rule

(x,y)\rightarrow \left(\dfrac{1}{4}x+\dfrac{15}{4},\dfrac{1}{4}y-\dfrac{15}{4}\right)

Then

A(9,3)\rightarrow A'\left(\dfrac{1}{4}\cdot 9+\dfrac{15}{4},\dfrac{1}{4}\cdot 3-\dfrac{15}{4}\right)=A'(6,-3);

B(-7,-5)\rightarrow B'\left(\dfrac{1}{4}\cdot (-7)+\dfrac{15}{4},\dfrac{1}{4}\cdot (-5)-\dfrac{15}{4}\right)=B'(2,-5);

C(-3,7)\rightarrow C'\left(\dfrac{1}{4}\cdot (-3)+\dfrac{15}{4},\dfrac{1}{4}\cdot 7-\dfrac{15}{4}\right)=C'(3,-2).

6 0
3 years ago
Clara is running a bakery. She's has made a street sign to direct people to her bakery. She painted one side of the post and sig
pogonyaev

Answer:

its D

Step-by-step explanation:

7 0
3 years ago
What is 25% of 100????
adell [148]

Answer:

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4 0
3 years ago
Read 2 more answers
Can someone complete the square
pshichka [43]
To do these, start by looking at the "b" value -6.
divide it by 2

-6/2 = -3

now square this number

(-3)^2 = 9

this is what you need for the "c" value

there is only a 5 for the c value so add 4 to both sides of the equation. ( +4 = +4)

y +4 = x^2 -6x +5 +4
y +4 = x^2 -6x +9
y +4 = (x -3)^2
y = (x -3)^2 - 4

vertex ( 3, -4) upwards facing like a bowl, because the "a" value is positive. So the vertex is the minimum, lowest point on the graph.


7 0
3 years ago
Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: ∠ CXY ≅ ∠ BXY
Llana [10]

Answer:

See explanation

Step-by-step explanation:

Consider triangles CAX and BAX. In these triangles,

  • \overline{AC}\cong \overline{AB} - given
  • \angle CAX\cong \angle BAX - given
  • \overline{AX}\cong \overline{AX} - reflexive property

By SAS postulate, \triangle CAX\cong \triangle BAX

Congruent triangles have conruent corresponding parts. So,

\overline{CX}\cong \overline{BX}

Consider triangles CXY and BXY. In these triangles,

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By SAS postulate, \triangle CXY\cong \triangle BXY

Congruent triangles have conruent corresponding parts. So,

\angle XCY\cong \angle XBY

5 0
3 years ago
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