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vesna_86 [32]
3 years ago
9

2X squared minus 7X +3

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

b=-7

Step-by-step explanation:

if u need an explanation let me know

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3.
baherus [9]

Answer:

3. \overline{PM}\cong \overline{ON} Distances between two parallel lines \overline{MN} \ and\ \overline{PO}

4. \overline{AC} = \overline{CE}: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of \overline{AE}: Reason;  \overline{AC} = \overline{CE}: Definition of midpoint

Step-by-step explanation:

3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles

MNOP is a parallelogram: Reason; Given

\overline{PM}\left |  \right |\overline{ON} : Reason; Opposite sides of a parallelogram

∠NOM ≅ ∠OMP: Reason Alternate interior angles

\overline{MN}\left |  \right |\overline{PO}: Reason; Opposite sides of a parallelogram

∠NMO ≅ ∠MOP: Reason Alternate interior angles

\overline{PM}\cong \overline{ON} Distances between two parallel lines \overline{MN} \ and\ \overline{PO}

4. \overline{AB}\left |  \right |\overline{DE} : Reason; Given

∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm

∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm

C is the midpoint of  \overline{BD}: Reason; Given

\overline{BC} = \overline{CD}: Reason; Definition of midpoint

Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem

\overline{AC} = \overline{CE}: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of \overline{AE}: Reason; Definition of midpoint

5 0
3 years ago
Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2
sweet-ann [11.9K]

Answer:

U_n=5(-2)^{n-1}

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

U_n=ar^{n-1}

If the eleventh term, a_{11}=5120

and the common ratio, r=-2.

Then:

5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5

The explicit formula for the sequence is:

U_n=5(-2)^{n-1}

5 0
3 years ago
. A bridge over a river is built in the shape of a parabolic arch. The bridge has a span of 100 feet. The height of the arch is
katen-ka-za [31]

Answer:

The height of the arch at its center is 250/9 or about 27.78 feet.

Step-by-step explanation:

We can write an equation to model the parabolic arch.

Let the left-most point of the arch be the origin (0, 0).

Since the bridge has a span of 100 feet, the right-most point must be (0, 100).

We can use the factored form of a quadratic:

y=a(x-p)(x-q)

Where <em>p</em> and <em>q</em> are the <em>x-</em>intercepts.

Our <em>x-</em>intercepts are <em>x </em>= 0 and <em>x </em>= 100. Hence:

y=ax(x-100)

At a point 40 feet from the center, the height of the arch is 10 feet.

The center is <em>x</em> = 50. So, a point 40 feet from the center can be either <em>x</em> = 10 or <em>x</em> = 90.

So, for instance, when <em>x</em> = 10, <em>y</em> = 10. Substitute and solve for <em>a: </em>

<em />10=10a(10-100)<em />

So:

\displaystyle a=-\frac{1}{90}

The same value will result if we let <em>x</em> = 90 and <em>y</em> = 10.

Hence, our equation is:

\displaystyle y=-\frac{1}{90}x(x-100)

The height of the arch at its center will be when <em>x</em> = 50. Hence:

y(50)=\displaystyle -\frac{1}{90}(50)((50)-100)=\frac{250}{9}\approx 27.78\text{ feet}

4 0
3 years ago
What is the probability of NOT spinning a 4 on a spinner with 6 sections labeled 1-6
bulgar [2K]

Answer:5/6

Step-by-step explanation:

8 0
3 years ago
PLease hurry
Tems11 [23]

Answer:

dejfbedbfiwqed

Step-by-step explanation:

5 0
4 years ago
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