Solve |x| – 17 = 60 What is the correct answer

Mathematics

2 answers:

belka [17]3 years ago

6 0

Answer:

x=77

Step-by-step explanation:

Hope this helps!!!!

Kazeer [188]3 years ago

4 0

Answer:

x = 77, x = -77

Step-by-step explanation:

|x| – 17 = 60

Add 17 to each side

|x| – 17+17 = 60+17

|x| = 77

The absolute value equation has two solutions, one positive and one negative

x = 77, x = -77

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Please help differentiate this!!!!!!!!!

vlada-n [284]

$\bf h=20ln(3t+2)+30\\\\
-------------------------------\\\\
\boxed{a}\\\\
\stackrel{0~years}{t=0}\qquad h=20ln[3(0)+2]+30\implies h=20ln(2)+30
\\\\\\
h\approx 43.86
\\\\\\
\boxed{b}\\\\
\stackrel{1~meter}{h=100}\qquad 100=20ln(3t+2)+30\implies 70=20ln(3t+2)
\\\\\\
\cfrac{70}{20}=ln(3t+2)\implies \stackrel{\textit{log cancellation rule}}{e^{\frac{7}{2}}=e^{ln(3t+2)}}\implies e^{\frac{7}{2}}=3t+2
\\\\\\
e^{\frac{7}{2}}-2=3t\implies \cfrac{e^{\frac{7}{2}}-2}{3}=t\implies 10.371817\approx t$

$\bf \boxed{c}\\\\
\cfrac{dh}{dt}=20\left(\cfrac{1}{3t+2}\cdot 3 \right)+0\implies \cfrac{dh}{dt}=20\left(\cfrac{3}{3t+2} \right)\\\\\\ \cfrac{dh}{dt}=\cfrac{60}{3t+2}
\\\\\\
\left. \cfrac{dh}{dt} \right|_{3}\implies \cfrac{60}{3(3)+2}\implies \cfrac{60}{11}
\\\\\\
\left. \cfrac{dh}{dt} \right|_{10}\implies \cfrac{60}{3(10)+2}\implies \cfrac{15}{8}$

5 0

2 years ago

Read 2 more answers

I need help please reply quickly higher gcse question

nexus9112 [7]

Answer:

105 cm²

Step-by-step explanation:

The figure is composed of a rectangle and a triangle

area of rectangle = 15 × 6 = 90 cm²

area of triangle = $\frac{1}{2}$ bh ( b is the base and h the height )