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Nady [450]
3 years ago
15

Find the x - intercept and y -intercept of the line. 7x+3y=-21​

Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

X-intercept is (-3,0)

Y-intercept is (0,-7)

Step-by-step explanation:

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Translate to an algebraic expression: 15 less than six times a number, y.
Natalija [7]

Answer:

4

Step-by-step explanation:

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3 years ago
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

⇒ (KN-AD)=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

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2 years ago
A roller coaster can load 60 passengers every 5 minutes. Complete the double number line to show how many people can be loaded p
emmasim [6.3K]

Answer: 12 people per minute

Step-by-step explanation:

If you take the number of people loaded every 5 minutes (60) and divided it by 5

You will get 12, which means you can load 12 people on the rollercoaster per minute.

5 0
3 years ago
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Solve this system of equations:
SpyIntel [72]

y=2x so replacr the -y with -2x so 2x+6 is 8x. :)

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Direction: Read and analyze each question below, the write the letter of the correct answer.
Natali [406]

Answer:

1 is A

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