Can someone help me with this?

Mathematics

1 answer:

larisa [96]3 years ago

4 0

9514 1404 393

Answer:

2b +2c
35h +15m
ef +eg

Step-by-step explanation:

The outside factor multiplies each term in parentheses.

a) 2(b+c) = 2b +2c

b) 5(7h +3m) = 5×7h +5×3m = 35h +15m

c) e(f +g) = ef +eg

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Find the solutions of 6(2-7x)+x(7x-2=0)

azamat

$6(2-7x)+x(7x-2)=0$

Use distributive property: a(b - c) = ab - ac

$(6)(2)-(6)(7x)+(x)(7x)-(x)(2)=0\\\\12-42x+7x^2-2x=0\\\\7x^2-44x+12=0\\\\7x^2-42x-2x+12=0\\\\7x(x-6)-2(x-6)=0\\\\(x-6)(7x-2)=0\iff x-6=0\ \vee\ 7x-2=0\\\\x-6=0\ \ \ |+6\\\\x=6\\\\7x-2=0\ \ \ |+2\\\\7x=2\ \ \ |:7\\\\x=\dfrac{2}{7}$

Answer:\ $x=6\ \vee\ x=\dfrac{2}{7}$

8 0

3 years ago

A small craft in lake Ontario sends out a distances signal. The coordinates of the boat in trouble are (57,64). One rescue boat

KatRina [158]

Answer:

The coast guard craft will get to the distressed boat the fastest.

Step-by-step explanation:

The coordinates of boat are (57,64).

The coordinates of rescue boat are (67,83).

The coordinates of coast guard craft are (65,46).

Both rescue crafts travel at the same rate. One of them will get to the distressed boat the faster, whose distance from the boat is least.

Distance formula: