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svlad2 [7]
3 years ago
5

Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply. (x + 1) (2x + 1) (x + 2) (5x

+ 1) (5x – 2) Mark this and return Save and Exit
Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0

Answer:

(5x-2) and (x+2)

Step-by-step explanation:


aivan3 [116]3 years ago
3 0

Answer:

the factors are (5x-2)  and (x+2)

Step-by-step explanation:

5x^2 + 8x – 4

first we multiply 5  and -4= -20

product is -20  and sum is +8

find out two factors whose product is -20 and add upto +8

10 * (-2) = 20

10 +(-2)= 8

5x^2 +10x-2x – 4

group the terms and factor out GCF

(5x^2 +10x)+(-2x – 4)

5(x+2) -2(x+2)

(5x-2)(x+2)

the factors are (5x-2)  and (x+2)

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I have completed the first three parts of this question, but now need help to finish...I need to calculate the ratios of the 4 l
galben [10]

At first, we will find the lengths of LK, Lm, ON, OP, then use them to find the ratios between them

The rule of the distance is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For LK

Since L = (3, 6), K = (1,5.33), then

\begin{gathered} LK=\sqrt{(3-1)^2+(6-5.33)^2} \\ LK=\sqrt{4+0.4489} \\ LK=\sqrt{4.4489} \end{gathered}

For LM

Since L = (3, 6), M = (5, 6.67), then

\begin{gathered} LM=\sqrt{(3-5)^2+(6-6.67)^2} \\ LM=\sqrt{4+0.4489} \\ LM=\sqrt{4.4489} \end{gathered}

For ON

Since O = (3, 2.59) and N = (5, 4.2), then

\begin{gathered} ON=\sqrt{(3-5)^2+(2.59-4.2)} \\ ON=\sqrt{4+2.5921} \\ ON=\sqrt{6.5921} \end{gathered}

For OP

Since O = (3, 2.59), P = (1, 0.99), then

\begin{gathered} OP=\sqrt{(3-1)^2+(2.59-0.99)^2} \\ OP=\sqrt{4+2.56} \\ OP=\sqrt{6.56} \end{gathered}

Now let us find the ratios between them

\begin{gathered} \frac{KL}{LM}=\frac{\sqrt{4.4489}}{\sqrt{4.4489}}=1 \\ \frac{PO}{ON}=\frac{\sqrt{6.56}}{\sqrt{6.5921}}=0.9975\approx1 \\ \frac{KL}{LM}=\frac{PO}{ON}=1 \end{gathered}

That means, Parallel lines intercept equal parts

By joining MP

We will have Triangle KPM

Since KL = LM ------- Proved using the distance formula

Since LQ // KP ------ Given

Then MQ = QP ------- Using the theorem down

The theorem

If a line is drawn from a midpoint of one side of a triangle parallel to the opposite side, then it will intersect the 3rd side in its midpoint (Q is the midpoint of MP)

Parallel lines intercept equal parts

7 0
1 year ago
Find the slope of the line y=1/6x+3/2
SVEN [57.7K]

Answer:  slope = 1/6

Reason:

The given equation is in slope-intercept form y = mx+b

m = 1/6 = slope

b = 3/2 = y intercept

7 0
2 years ago
What is <br> 12 m/mi = cm/s
yarga [219]

<em>1 Cancel m.</em>

12i=c*m/s

<em>2 Use rule a*b/c = ab/c</em>

12i=cm/s

<em>3 Multiply both sides by s.</em>

12is=cm

<em>4 Divide both sides by 12.</em>

is=cm/12

<em>5 Divide both sides by i</em>

s=cm/12/i

<em>6 Simplify cm/12/i</em>

s=sm/12i

4 0
2 years ago
A probability experiment is conducted in which the sample space of the experiment is Sequals=StartSet 9 comma 10 comma 11 comma
White raven [17]

Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

F={9, 10, 11, 12, 13}​

G={13,14,15,16}

Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}​

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

P(F or G)=0.667

Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

F={9, 10, 11, 12, 13}​

number of outcomes in F=n(F)=5

P(F)=n(F)/n(S)

P(F)=5/12

P(F)=0.417

G={13,14,15,16}

number of outcomes in G=n(G)=4

P(G)=n(G)/n(S)

P(G)=4/12

P(G)=0.333

F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

P(F and G)=0.083

P(F or G)=P(F)+P(G)-P(F and G)

P(F or G)=0.417+0.333-0.083

P(F or G)=0.667

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3 years ago
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