All categories

3 years ago

Apply distributive property: 5(2 + x) * 10 points 10 + x 10 + 5x

Mathematics

2 answers:

Viefleur [7K]3 years ago

8 0

Answer:

10 + 5x

Step-by-step explanation:

mote1985 [20]3 years ago

5 0

Answer:

The answer is 10 + 5x.

Step-by-step explanation:

Expand by distributing term.

$5 \times 2 + 5x$

Simplify 5 × 2 to 10.

$10 + 5x$

Therefor, the answer is 10 + 5x.

You might be interested in

Which of the following represents the opposite of - 547

erastovalidia [21]

$54 towe my friend degrees

7 0

4 years ago

Can i get help? Don’t really understand.

Rufina [12.5K]

First option: correct. This is because angles WOX and XOZ are supplementary, so

$m\angle WOX=180^\circ-104^\circ=76^\circ$

Second option: correct. By the inscribed angles theorem, we have

$m\angle XWZ=m\angle XYZ=\dfrac{113^\circ}2=56.5^\circ$

Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.

Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means

$\dfrac{m\widehat{WY}+113^\circ}2=104^\circ\implies m\widehat{WY}=95^\circ$

Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.

Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have

$\dfrac{m\widehat{WX}+m\widehat{YZ}}2=m\angle WOX\implies m\widehat{WX}+m\widehat{YZ}=2\cdot76^\circ=152^\circ$

4 0

3 years ago

PLEASE ANSWER THIS ASAP ASAP

Alex

12 = 15 (z - 1/5)

12 = 15z - 3

+3 +3

15 = 15z

15 (÷ 15) = 15z (÷ 15)

1 = z

Hope I helped!!! :)

8 0

4 years ago

Find an equation of a line whose graph intersects the graph of the parabola y=x^2 at (a) two points, (b) one point, and (c) no p

ExtremeBDS [4]

1) 2 points:
We need to come up with a function that intersects the graph at two points, meaning has two (x,y) in common with the function. If you look at the graph of y=x^2, you see that it would be quite easy to draw a line that intersects the graph twice. In fact, there are an infinite number of functions that would satisfy this.
One easy function is y=2. This is a horizontal line in which y=2 for all values of x. In the graph y=x^2, y=2 intersects twice.
2=x^2
x^2= √2 or -√2
the shared points are (√2,2) and (-√2,2)

b) one point:
Here, we want to find an equation with only one (x,y) in common with y=x². This is a bit trickier.
One easy solution is y=-x²
Looking at a graph of the two functions, you see that y=-x² is a reflection across the x-axis of y= x². The two functions have only one point in common: (0,0).

c) no point in common
Take another look at the graph of y=x². You see that the function never crosses the x-axis. A simple function that will never intersect the graph is y=-2. Since y is negative for all values of x, it is guaranteed to never intersect y=x², a function in which y is positive for all negative or positive values of x.

3 0

4 years ago

a bus stops at the corner of elm street and oak street every half hour between 9 a.m. and 3 p.m. and every 15 minutes between 3

aivan3 [116]

From 9 a.m to 3 p.m its 6hrs
$6 \times 2 = 12$
From 3pm to 6pm is 3 hours
$3 \times 4 = 12$
Answer is 24

6 0

3 years ago