The graph of a proportional relationship passes through the points (15,3) and (5,y) find y

Identify the trinomial that is a perfect square. 81x^2 − 70x 16 64x^2 − 90x 25 81x^2 − 72x 16 64x^2 − 70x 25

Vilka [71]

Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2

basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2

see each

first one
-70=2(9)(4)
-70=72
false

second
-90=2(8)(5)
-90=80
false

third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer

the answer is 81x^2-72x+16

5 0

2 years ago

Help me here please.. .

Harman [31]

6x^2 is the answer. thanks for asking it.

6 0

3 years ago

What the constant proportionality of y=26x

UNO [17]

Answer:

Here is a link to help you. This is a very great video that will help you understand proportionalities .

Step-by-step explanation:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/7th-constant-of-proportionality/v/constant-of-proportionality-from-equation

5 0

2 years ago

Number of passengers who arrive at the platform in an amtrack train station for the 2 pm train on a saturday is a random variabl

alexgriva [62]

Assuming a normal distribution we find the standardized z scores for a:-

z1 = (80 - 180) / 25 = = -100/25 = -4
z2 = (280-180) / 25 = 4
Required P( -4 < z < 4) from the tables is >99.9%

b
z1 = 130-180 / 25 = -2
z2 = 230-180 / 25 = 2

from tables probability is 2* 0.4773 = 95.46 %

8 0

2 years ago

An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. What is the volume of the obl

trasher [3.6K]

Oblique Cone

The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

Step-by-step explanation:

An oblique cone has a radius of 4 units

A height of 8.5 units

A slant length of 11.7 inches

We have to use the slant height to calculate actual base

So in a right angle triangle when two sides are given the third side is calculated by

Root (sqr(11,7) - sqr(8.5)) = 8.03 units

$\sqrt{11.7^{2} - 8.5^{2} }$

⇒ 8.03 units

Formula to calculate the volume of oblique cone,......................(1)

V = $\frac{1}{3} bh$

If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

V = $\frac{1}{3} \pi r^{2} h$

Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

Here r = 8.03 - 4 = 4.03 units

Volume = $\frac{1}{3}$ × 3.14 × 4.03 × 4.03 × 8.5

Volume = 144.49 cubic inches

Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

6 0

2 years ago

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