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shepuryov [24]
3 years ago
5

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0

Answer:

0 x2+2=420

Step-by-step explanation:

Rudiy273 years ago
3 0

Answer:

2nd one

Step-by-step explanation:

x(2) + 2 = 420

you can use trial and error

210(2) = 420 but we need to add the two so lower the 120

209(2) = 418  418 + 2 = 420

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Based only on the information given in the diagram, it is guaranteed that JKL ~ WXY.
Alika [10]

Answer:

Option A True

Step-by-step explanation:

we know that

The sum of the internal angles of  the triangle is equal to 180\°

<u>In the triangle JKL</u>

m∠L=180\°-90\°-27\°=63\°

so

The measurements of the angles of triangle JKL are 27\°-90\°-63\°

<u>In the triangle WXY</u>

m∠W=180\°-90\°-63\°=27\°

so

The measurements of the angles of triangle WXY are 27\°-90\°-63\°

therefore

Triangle JKL and triangle WXY are similar by AAA ( The AAA postulate states that if you can prove that all three angles of two triangles are congruent, you can prove the two triangles are similar)

6 0
3 years ago
Read 2 more answers
Find the zeros of polynomial function.<br> f(x)=x^2-x-90
Fofino [41]

First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.

So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.

f(x) = x² + 9x - 10x - 90

Now we group together and pull out GCFs.

f(x) = (x² + 9x) + (10x - 90)

f(x) = x(x² + 9) - 10(x + 9)

f(x) = (x - 10)(x + 9)

Now, set each factor equal to zero.

x - 10 = 0, x + 9 = 0

For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.

x = 10, x = -9

Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).

7 0
2 years ago
Solve 5=11-1/3 please i need this
jok3333 [9.3K]

Answer: look at the point

Step-by-step explanation:

8 0
3 years ago
8 divided by -2+(-4) times 8
Marizza181 [45]

Answer:

-36

Step-by-step explanation:

8 0
3 years ago
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Evaluate (5 sin² 30ᴼ + cos² 45ᴼ - 4 tan² 30ᴼ) / ( 2 sin 30ᴼcos 30ᴼ + tan 45ᴼ)
Gnoma [55]
Note that
sin(30°) = 1/2
cos(30°) = √3/2
tan(30°) = 1/√3
cos(45°) = 1/√2
tan(45°) = 1

Therefore
5 sin²(30°) + cos²(45°) - 4 tan²(30°)
= 5*(1/4) + 1/2 - 4*(1/3)
= 5/12
= 0.4167

2 sin(30°) cos(30°) + tan(45°)
= 2(1/2)(√3/2) + 1
= 1.866

\frac{5sin^{2}(30)^{o}+cos^{2}(30^{o})-4tan^{2}(30^{o})}{2sin(30^{o})cos(30^{o})+tan(45^{o})}  =  \frac{0.4167}{1.866} =0.2233

Answer: 0.223
4 0
3 years ago
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