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3 years ago

The double number line shows that Toni can type 180 words in

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

Answer:

120 words

Step-by-step explanation:

as a ratio it's

2:180

In real life the longer you do something the more words you type

so since you can't get to 3 from 2 easily you go to 1 instead.

2:180

1:360

3:120

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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

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4 years ago

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Jlenok [28]

Answer:

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Step-by-step explanation:

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3 years ago

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Trees are planted at intervals of 5 m along side of a 140 m straight path. The first tree is planted at the start of the path an

Luden [163]

<h3>Solution :</h3>

Distance between first tree and last tree is 140m .

And distance between each tree (d) = 5 m

let's solve for number of trees (n) :

$\hookrightarrow \: (n - 1)d = 140$

$\hookrightarrow \: (n - 1)5 = 140$

$\hookrightarrow \: n - 1 = \dfrac{140}{5}$

$\hookrightarrow \: n = 28 + 1$

$\hookrightarrow \: n = 29$

hence, total number of trees = 29.

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3 years ago

Rewrite the following equation in logarithmic form.

zloy xaker [14]

Answer:

log2(0.25) = -2

512 = 8^3

Step-by-step explanation:

Use of formula: loga (b) = c ⇔ b = a^c

Rewrite the following equation in logarithmic form. 0.25 = 2^-2

log2(0.25) = -2

Rewrite the following equation in exponential form. log8 (512) = 3

512 = 8^3

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4 years ago

What was two. thirds and fifth twelve

Harrizon [31]

The answer is 1 and 1/12 because you have to have a common denomonator.

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