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3 years ago

What is the value of the expression 4 × (2a − 1) if a = 3?

Mathematics

1 answer:

dlinn [17]3 years ago

4 0

Answer:

Step-by-step explanation:

4 * (2a − 1)

Let a=3

4 * (2*3 − 1)

Simplify inside the parentheses first

4 * (6 − 1)

4 * (5)

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Fond the equation of the line shown

zloy xaker [14]

Answer:

y+-1/2x-1

Step-by-step explanation:

The line is negative

It rises one digit and runs 2

and it crosses though -1 on the y axis

4 0

3 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

4 years ago

1 point 10. What is the solution of the system of equations graphed below?*

Tema [17]

Answer:

No solution

Step-by-step explanation:

Unfortunately your screenshot has cut off the final answer choice, if it says "no solution" you should choose that because these two lines are parallel. Meaning they will never intersect, and the point of intersection is usually the solution.

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3 years ago

Dante took three tests on Friday. He got a 92% on his English test, an 88% on his math test and a 90% on his science test Write

Burka [1]

.88, .90, .92
when you need to find a decimal of a percentage. start at the percentage sign and move the decimal point two places to the left..
example:
450% = 4.50

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4 years ago

A study of a population of 1,080 frogs revealed that 15 out of every 180 frogs in the population have spots on their back. Based

avanturin [10]

I think it’s 990 maybe not I did 1080/180=6 then 15*6=90 then did 1080-90=990 I think

8 0

3 years ago