262 + 923 + 231

Which graph represents the function f(x) = |x|?

Brut [27]

Answer:

Step-by-step explanation:

the first one

3 0

3 years ago

Read 2 more answers

Math 2 Of high school

Daniel [21]

Answer:

B. BC = 18 so ∆ABC ～ ∆DEF by SAS

Step-by-step explanation:

$\bf \cfrac{AB}{DE} = \cfrac{BC}{EF}$

$\bf \cfrac{15}{10} = \cfrac{BC}{12}$
$\bf \cfrac{3}{2} = \cfrac{BC}{12}$
$\bf BC = \cfrac{3}{2} \times 12$
$\bf 3 \times 6$
$\bf BC = 18$
$\bf \angle B = \angle \: E$

So, ∆ABC ～ ∆DEF by SAS.

7 0

2 years ago

Complete the proof given below.

allochka39001 [22]

Given that the opposite sides of a parallelogram are congruent, a diagonal

of the parallelogram forms two congruent triangles.

The correct options to complete the proof are;

Opposite sides of a parallelogram; ABCD is a parallelogram

Reflexive property of congruency

SSS

Reasons:

The completed two column proof is presented as follows;

Statement ${}$ Reason

1. ABCD is a parallelogram ${}$ 1. Given

2. $\overline{AB}$ ≅ $\overline{DC}$ and $\overline{BC}$ ≅ $\overline{DA}$ ${}$ 2. Opposite sides of a parallelogram

3. $\overline{AC}$ ≅ $\overline{CA}$ ${}$ 3. Reflexive property of congruency

4. ΔABC ≅ ΔCDA ${}$ 4. SSS

The correct options are therefore;

Opposite sides of a parallelogram; ABCD is a parallelogram

Reflexive property of congruency

SSS;

Reason 2. Opposite sides of a parallelogram, which is based on the

properties of a parallelogram and that ABCD is a parallelogram.

Reason 3. The reflexive property of congruency, states that a side is

congruent to itself.

Reason 4. SSS is an acronym for Side-Side-Side, which is a congruency

postulate that states that if the three sides of one triangle are equal to the

three sides of another triangle, then the two triangles are congruent.

Learn more about parallelograms here:

brainly.com/question/4218263

brainly.com/question/21390857

8 0

2 years ago

Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.

IceJOKER [234]

In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

$(x,0,0)\implies 18x+9\cdot0+0=18\implies x=1$
$(0,y,0)\implies 18\cdot0+9y+0=18\implies y=2$
$(0,0,z)\implies 18\cdot0+9\cdot0+z=18\implies z=18$

Now that we know the vertices of the surface $\mathcal S$ , we can parameterize it by

$\mathbf s(u,v)=\langle(1-u)(1-v),2u(1-v),18v\rangle$

where $0\le u\le1$ and $0\le v\le1$ . The surface element is

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=2\sqrt{406}(1-v)\,\mathrm du\,\mathrm dv$

With respect to our parameterization, we have $x(u,v)=(1-u)(1-v)$ , so the surface integral is

$\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3$

5 0

3 years ago

What is the simplest form of this expression 2(y-1)+8

snow_tiger [21]

Answer:

2y + 6

Step-by-step explanation:

2(y - 1) + 8

2y - 2 + 8

= 2y + 6

3 0

3 years ago

262 + 923 + 231 - 138 = ?​

262 + 923 + 231 - 138 = ?