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2 years ago

Factor and solves the polynomial x(to the 2nd power) + 5x + 4 = 0 x= (blank) and x= (blank)

Mathematics

1 answer:

zubka84 [21]2 years ago

3 0

Answer:

$x = -4~ \text{and}~ x = -1$

Step-by-step explanation:

$~~~~~~~x^2 +5x +4 =0\\\\\implies x^2 +4x +x +4 = 0\\\\\implies x(x+4) +(x+4) = 0\\\\\implies (x+4)(x+1) = 0\\\\\implies x = -4,~~ x = -1$

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Plz help! anybody. i'll mark brainliest 20 points!!!!

lisabon 2012 [21]

(1) Snow fall in last week = $3 \frac{1}{2}$ inches

Snow fall in today= $5 \frac{3}{4}$ inches

Let us first change mixed fraction to improper fraction.

$\begin{aligned}&3 \frac{1}{2}=\frac{7}{2}\\&5 \frac{3}{4}=\frac{23}{4}\end{aligned}$

Now, make the denominators same.

$3 \frac{1}{2}=\frac{7}{2}=\frac{7 \times 2}{2 \times 2}=\frac{14}{4}$ , $5 \frac{3}{4}=\frac{23}{4}$

Now, find the difference between 14/4 and 23/4.

$\frac{23}{4}-\frac{14}{4}=\frac{9}{4}=2 \frac{1}{4}$

So, compared to last week $2 \frac{1}{4}$ more inches of snow fell today.

(2) Given three times a number, minus nine, equals six times six, divided by four.

Let a number be X.

3X – 9 = 6 × 6/4

(3) To solve the equation:

3X – 9 = 6 × 6/4

3X – 9 = 36/4

3X – 9 = 9

3X = 18

X = 6

5 0

3 years ago

Answer all that applies

Rom4ik [11]

All of them apply ..

8 0

3 years ago

It is not possible to prove one pair of triangles congruent and then use their congruent corresponding parts to prove another pa

borishaifa [10]

Answer:

true

The wording does not quite mean anything,

but what I think was meant to ask is

"if we use some parts of two triangles to prove they are congruent,

can we then use that to prove that

a pair of corresponding parts not used before are congruent?"

The answer is

Yes, of course,

Corresponding Parts of Congruent Triangles are Congruent,

which teachers usually abbreviate as CPCTC.

For example, if we find that

side AB is congruent with side DE,

side BC is congruent with side EF, and

angle ABC is congruent with angle DEF,

we can prove that triangles ABC and DEF are congruent

by Side-Angle-Side (SAS) congruence.

We then, by CPCTC, can conclude that other pairs of corresponding parts are congruent:

side AB is congruent with side DE,

angle BCA is congruent with angle EFD, and

angle CAB is congruent with angle FDE.

It was possible (by CPCTC) to prove those last 3 congruence statements,

after proving the triangles congruent.

The expected answer is FALSE.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

3. PLEASE HELP! Jenna just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98,

sashaice [31]

Answer:C) She would have $216.88.

Step-by-step explanation:

A) Deposits: +34.98; +51.02; +51.22

Withdrawals: -5.23; -5.22; -7.89

B) -7.89, -5.23, -5.22, +34.98, +51.02, +51.22

The smallest amount will be the largest withdrawal, as it takes away from the account; the largest amount will be the largest deposit, as it adds to the account.

98 + 34.98 = 132.98 + 51.02 = 184.00 + 51.22 = 235.22 - 7.89 = 227.33 - 5.23 = 222.10 - 5.22 = 216.88

8 0

3 years ago

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The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft

Vladimir [108]

Answer:

2 trees

Step-by-step explanation:

Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.

We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.

This means that the side lengths of both of them combined will be $234-52-68=114$

This means the side adjacent to Dayton Avenue is

$114\div2=57$ feet long.

Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.

$57\div20=2.85$

Rounding down gets us 2.

Hope this helped!

3 0

3 years ago

Read 2 more answers