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2 years ago

Apply the distributive property to factor out the greatest common factor. 12 + 80 =

Mathematics

2 answers:

netineya [11]2 years ago

6 0

Answer:

4(3+20)

Step-by-step explanation:

First you should find the gcm factor because that is the number we will place outside of the parentheses in order to distribute. The GCM of 12 and 80 is 4. So, we place 4 outside of the grouping symbol. Now, we have to form what will be inside of the parentheses. When we use distributive property, we take the inner number and multiply it by the outside number. So, that means if we have 12 the inner number should be 3 since 4*3=12. Now, we move onto the number 80. Same thing here. This time it's going to be 20 since 4*20=80

So, we're left with this expression: 4(3+20)

Virty [35]2 years ago

4 0

Answer:

4(3 + 20)

Step-by-step explanation:

The largest GCF of 12 and 80 is 4. Factor out 4 to get your answer in distributive form.

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Need help with this question; What is the measure of one leg of a right angle given that the hypotenuse measure 14cm and the oth

melamori03 [73]

Answer:

11.5 cm

Step-by-step explanation:

The dimensions of a right angled triangle can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

a² + 8² = 14²

a² + 64 = 196

a² = 196 - 64

a² = 132

find the square root of 132

a = 11.5 cm

3 0

2 years ago

Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?

AlekseyPX

Answer:2(x+1/2x)+3=105

Step-by-step explanation: that is how i got my answer. If not a similar answer i would go with 2x+3=3x+105.

You can automatically eliminate the first answer. The second one has a random 5, so eliminated. and the last one just isn't correct.

7 0

2 years ago

Congruent segments and congruent angles

Serggg [28]

Answer:

Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.

Step-by-step explanation:

comment how it helps

8 0

3 years ago

Help me with question a please ! With full workings !

frosja888 [35]

A)

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
P&({{ 0.5}}\quad ,&{{ 0}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

$\bf QP=\sqrt{(0.5-0)^2+(0-2)^2}\implies QP=\sqrt{0.5^2+2^2}
\\\\\\
QP=\sqrt{\left( \frac{1}{2} \right)^2+4}\implies QP=\sqrt{ \frac{1^2}{2^2}+4}\implies QP=\sqrt{\frac{1}{4}+4}
\\\\\\
QP=\sqrt{\frac{17}{4}}\implies QP=\cfrac{\sqrt{17}}{\sqrt{4}}\implies QP=\cfrac{\sqrt{17}}{2}$

b)

since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP

thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)

c)

what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
R&({{ -0.5}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-0.5-0}\implies \cfrac{-2}{-0.5}$

$\bf m=\cfrac{\frac{-2}{1}}{-\frac{1}{2}}\implies \cfrac{-2}{1}\cdot \cfrac{2}{-1}\implies 4
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=4(x-0)\implies y=4x+2\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

Betty is having invitations printed for a holiday party. It costs $3.70 to set up the printing machine and $1.55 per invitation.

PIT_PIT [208]

Y = 1.55x + 3.70
1.55 x 150 = 232.5
232.5 + 3.70 = 236.2

The answer is C 236.20 hope that helped.

4 0

3 years ago