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3 years ago

Which statements must be true?

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

D. JK = 2VW because small triangle and big triangle are similar triangles. 3, 4, 5 triangle is similar to 6, 8, 10 so the size can double

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What value of x makes the equation 3 = <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3x%2B%206%7D" id="TexFormula1" title="

disa [49]

3^3=3x+6,so3x=27-6=21,sox=7

3 0

3 years ago

Read 2 more answers

Consider the parabola r(t)equalsleft angle at squared plus 1 comma t right angle, for minusinfinityless thantless thaninfinity

Irina-Kira [14]

Answer:

t=0

Step-by-step explanation:

r=< $at^2$ +1, $t$ >

by differentiating the r vector component by component

r' = <2at, 1>

Two vector are orthogonal when the dot product between them is zero, so:

r'·r=0

< $at^2$ +1, $t$ >·<2at, 1>=2 $a^2t^3$ +2at+t=0

common factor

t( $2a^2t^2$ +2a+1)=0

Then, the only real value for t is zero.

-> t=0

5 0

4 years ago

Productivity increases under which of these scenarios? a. inputs and outputs increase proportionately b. outputs decrease while

Anna [14]

Answer:

d. inputs decrease while outputs remain the same -- True here productivity increases.

Step-by-step explanation:

In any organization productivity is a measure of efficiency

Productivity is normally expressed as ratio of output/input

Obviously when output increases productivity increases and also

when input decreases productivity increases.

a. inputs and outputs increase proportionately -- False here no change.

b. outputs decrease while inputs remain the same -- False here productivity decreases.

c. inputs increase while output remains the same -- False here productivity decreases.

d. inputs decrease while outputs remain the same -- True here productivity increases.

3 0

3 years ago

Amy worked 16 hours more than Brayden last month. If Amy worked 8 hours for every 7 hours that Brayden worked, how many hours di

marishachu [46]

Answer:

Amy worked for 128 hours while Brayden worked for 112 hours

Step-by-step explanation:

Given

Let A represents Amy and B represents Brayden

A = 16 + B ------(1)

A:B = 8:7------- (2)

Required

Find A and B;

Convert (2) to fractions

$\frac{A}{B} = \frac{8}{7}$

Cross Multiply

$7 * A = 8 * B$

$7A = 8B$

Substitute A = 16 + B in the above expression

$7(16 + B) = 8B$

Open Bracket

$7 * 16 + 7 * B = 8B$

$112 + 7B = 8B$

Subtract 7B from both sides

$112 + 7B - 7B = 8B - 7B$

$112 = B$

$B = 112$

Recall that A = 16 + B

Hence, $A = 16 + 112$

$A = 128$

<em>This implies that Amy worked for 128 hours while Brayden worked for 112 hours</em>

8 0

3 years ago

Subtract 2 16/21 - (-8 5/21). reduce if possible

amid [387]

Answer= 11. Two negatives equals a positive so you add them together.

3 0

4 years ago