Look at the cups shown below (images are not drawn to scale):

1 answer:

4 0

About 4 im not positive but I think it's correct if you subtract them after multiplying. FORGIVE ME IF IT'S NOT CORRECT.

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Point Q is located at (–3, 0) and point R is located at (1, 0) on the coordinate plane. What is the distance between points Q an

Alisiya [41]

Answer:

Step-by-step explanation:

|-3|+|1|=4

6 0

3 years ago

The difference between the roots of the equation 3x^2+bx+10=0 is equal to 4 1/3 . Find b.

telo118 [61]

$\textit{quadratic formula}\\
{{ 3}}x^2{{ +b}}x{{ +10}}=0
\qquad \qquad 
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
\\ \quad \\
meaning\implies x=\cfrac{-b\pm\sqrt{b^2-4(3)(10)}}{2(3)}\qquad now
\\ \quad \\
\cfrac{-b\pm\sqrt{b^2-4(3)(10)}}{2(3)}\to 
\begin{cases}
\cfrac{-b+\sqrt{b^2-4(3)(10)}}{2(3)}
\\ \quad \\

\cfrac{-b-\sqrt{b^2-4(3)(10)}}{2(3)}
\end{cases}\impliedby \textit{two roots}$

$\textit{and their root difference is }4\frac{1}{3}\implies \cfrac{13}{3}\qquad so
\\ \quad \\
\left[ \cfrac{-b+\sqrt{b^2-4(3)(10)}}{2(3)} \right]-\left[ \cfrac{-b-\sqrt{b^2-4(3)(10)}}{2(3)} \right]=\cfrac{13}{3}
\\ \quad \\
\left[ \cfrac{-b+\sqrt{b^2-4(3)(10)}}{6} \right]+\left[ \cfrac{+b+\sqrt{b^2-4(3)(10)}}{6} \right]=\cfrac{13}{3}
\\ \quad \\
\cfrac{-b+\sqrt{b^2-4(3)(10)}+b+\sqrt{b^2-4(3)(10)}}{6}=\cfrac{13}{3}
\\ \quad \\
\cfrac{2\sqrt{b^2-4(3)(10)}}{6}=\cfrac{13}{3}$

and I'm pretty sure you can take it from there

7 0

3 years ago

in a school ,there are 150 students .out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and

oksian1 [2.3K]

Answer:

Step-by-step explanation:

First we need to subtract the 50 students enrolled in English class.

150 - 50 = 100

Next, let's add the mathematics students and the physics students.

80 + 60 = 140

Then we subtract the total amount of mathematics and physics students by the total number of students.

140 - 100 = 40

Therefore, there are 40 students who take both mathematics and physics.

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3 years ago

What is the length of the missing leg?

lesantik [10]

Answer: I am so sorry if this doesn't help 135

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3 years ago

If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?

Lorico [155]

Just do 10 x 15
=150

6 0

3 years ago

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